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Volumn 44, Issue 2, 2008, Pages 303-325

Optimal experimental design and some related control problems

Author keywords

Active control; Active learning; Adaptive control; Design of experiments; Parameter estimation

Indexed keywords

DESIGN OF EXPERIMENTS; DYNAMICAL SYSTEMS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBLEM SOLVING; STATISTICAL METHODS;

EID: 37849021822     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.05.016     Document Type: Article
Times cited : (204)

References (197)
  • 1
  • 3
    • 0001376599 scopus 로고
    • Planning experiments for discriminating between models (with discussion)
    • Atkinson A.C., and Cox D.R. Planning experiments for discriminating between models (with discussion). Journal of Royal Statistical Society B 36 (1974) 321-348
    • (1974) Journal of Royal Statistical Society B , vol.36 , pp. 321-348
    • Atkinson, A.C.1    Cox, D.R.2
  • 5
    • 85041935631 scopus 로고
    • The design of experiments for discriminating between two rival models
    • Atkinson A.C., and Fedorov V.V. The design of experiments for discriminating between two rival models. Biometrika 62 1 (1975) 57-70
    • (1975) Biometrika , vol.62 , Issue.1 , pp. 57-70
    • Atkinson, A.C.1    Fedorov, V.V.2
  • 6
    • 0016706915 scopus 로고
    • Optimal design: Experiments for discriminating between several models
    • Atkinson A.C., and Fedorov V.V. Optimal design: Experiments for discriminating between several models. Biometrika 62 2 (1975) 289-303
    • (1975) Biometrika , vol.62 , Issue.2 , pp. 289-303
    • Atkinson, A.C.1    Fedorov, V.V.2
  • 7
    • 0016115973 scopus 로고
    • Dual effect, certainty equivalence, and separation in stochastic control
    • Bar-Shalom Y., and Tse E. Dual effect, certainty equivalence, and separation in stochastic control. IEEE Transactions on Automatic Control 19 5 (1974) 494-500
    • (1974) IEEE Transactions on Automatic Control , vol.19 , Issue.5 , pp. 494-500
    • Bar-Shalom, Y.1    Tse, E.2
  • 8
    • 79960728805 scopus 로고    scopus 로고
    • ∞ input design in identification. In Proceedings of the 16th IFAC world congress on automatic control, Prague, 2005. CD-ROM - Paper 03882.
  • 9
    • 0032663967 scopus 로고    scopus 로고
    • System identification with multi-level periodic perturbation signals
    • Barker H.A., and Godfrey K.R. System identification with multi-level periodic perturbation signals. Control Engineering Practice 7 (1999) 717-726
    • (1999) Control Engineering Practice , vol.7 , pp. 717-726
    • Barker, H.A.1    Godfrey, K.R.2
  • 10
    • 37849012366 scopus 로고    scopus 로고
    • Bartlett, P. L. (2003). Prediction algorithms: complexity, concentration and convexity. In Preprints of the 13th IFAC symposium on system identification (pp. 1507-1517), Rotterdam, August.
  • 12
    • 37849006630 scopus 로고    scopus 로고
    • Biedermann, S., & Dette, H. (2001). Minimax optimal designs for nonparametric regression-a further optimality property of the uniform distribution. In P. Hackl, A. C. Atkinson, W. G. Müller (Eds.), mODa'6-advances in model-oriented design and analysis, Proceedings of the 76th international workshop (pp. 13-20), Puchberg/Schneberg (Austria), June. Physica-Verlag: Heidelberg.
  • 13
    • 0037996865 scopus 로고
    • Likelihood inference for mixtures: Geometrical and other constructions of monotone step-length algorithms
    • Böhning D. Likelihood inference for mixtures: Geometrical and other constructions of monotone step-length algorithms. Biometrika 76 2 (1989) 375-383
    • (1989) Biometrika , vol.76 , Issue.2 , pp. 375-383
    • Böhning, D.1
  • 14
    • 15844401277 scopus 로고    scopus 로고
    • Quantification of frequency domain error bounds with guaranteed confidence level in prediction error identification
    • Bombois X., Anderson B.D.O., and Gevers M. Quantification of frequency domain error bounds with guaranteed confidence level in prediction error identification. System & Control Letters 54 (2005) 471-482
    • (2005) System & Control Letters , vol.54 , pp. 471-482
    • Bombois, X.1    Anderson, B.D.O.2    Gevers, M.3
  • 15
    • 85128539368 scopus 로고    scopus 로고
    • Bombois, X., Scorletti, G., Gevers, M., Hildebrand, R., & Van den Hof, P. (2004). Cheapest open-loop identification for control. In: Proceedings of the 43rd conference on decision and control (pp. 382-387), The Bahamas, December.
  • 17
    • 0002928751 scopus 로고
    • Discrimination among mechanistic models
    • Box G.E.P., and Hill W.J. Discrimination among mechanistic models. Technometrics 9 1 (1967) 57-71
    • (1967) Technometrics , vol.9 , Issue.1 , pp. 57-71
    • Box, G.E.P.1    Hill, W.J.2
  • 18
    • 0002363078 scopus 로고
    • On the experimental attainment of optimum conditions (with discussion)
    • Box G.E.P., and Wilson K.B. On the experimental attainment of optimum conditions (with discussion). Journal of Royal Statistical Society B 13 1 (1951) 1-45
    • (1951) Journal of Royal Statistical Society B , vol.13 , Issue.1 , pp. 1-45
    • Box, G.E.P.1    Wilson, K.B.2
  • 22
    • 37848998862 scopus 로고    scopus 로고
    • Bozin, A. S., & Zarrop, M. B. (1991). Self tuning optimizer-convergence and robustness properties. In Proceedings of the 1st European control conference (pp. 672-677), Grenoble, July.
  • 23
    • 0030211964 scopus 로고    scopus 로고
    • Bagging predictors
    • Breiman L. Bagging predictors. Machine Learning 24 2 (1996) 123-140
    • (1996) Machine Learning , vol.24 , Issue.2 , pp. 123-140
    • Breiman, L.1
  • 25
    • 23744480441 scopus 로고    scopus 로고
    • Guaranteed non-asymptotic confidence regions in system identification
    • Campi M.C., and Weyer E. Guaranteed non-asymptotic confidence regions in system identification. Automatica 41 10 (2005) 1751-1764
    • (2005) Automatica , vol.41 , Issue.10 , pp. 1751-1764
    • Campi, M.C.1    Weyer, E.2
  • 27
    • 84972528615 scopus 로고
    • Bayesian experimental design: A review
    • Chaloner K., and Verdinelli I. Bayesian experimental design: A review. Statistical Science 10 3 (1995) 273-304
    • (1995) Statistical Science , vol.10 , Issue.3 , pp. 273-304
    • Chaloner, K.1    Verdinelli, I.2
  • 28
  • 29
    • 0001401242 scopus 로고
    • n fractional factorial designs
    • n fractional factorial designs. Annals of Statistics 8 (1980) 436-446
    • (1980) Annals of Statistics , vol.8 , pp. 436-446
    • Chen, C.S.1
  • 30
    • 0003981971 scopus 로고    scopus 로고
    • Optimal design for curve estimation by local linear smoothing
    • Cheng M.-Y., Hall P., and Titterington D.M. Optimal design for curve estimation by local linear smoothing. Bernoulli 4 1 (1998) 3-14
    • (1998) Bernoulli , vol.4 , Issue.1 , pp. 3-14
    • Cheng, M.-Y.1    Hall, P.2    Titterington, D.M.3
  • 31
    • 33846039901 scopus 로고
    • Locally optimal designs for estimating parameters
    • Chernoff H. Locally optimal designs for estimating parameters. Annals of Mathematical Statistics 24 (1953) 586-602
    • (1953) Annals of Mathematical Statistics , vol.24 , pp. 586-602
    • Chernoff, H.1
  • 33
    • 37849039626 scopus 로고    scopus 로고
    • Cohn, D. A. (1994). Neural network exploration using optimal experiment design. In J. Cowan, G. Tesauro, & J. Alspector (Eds.), Advances in neural information processing systems (Vol. 6). Los Altos, CA: Morgan Kaufmann.
  • 35
    • 85176994392 scopus 로고    scopus 로고
    • Cox, D. D., & John, S. (1992). A statistical method for global optimization. In Proceedings of the IEEE international conference on systems man and cybernetics (Vol. 2, pp. 1241-1246), Chicago, IL, October.
  • 37
    • 0036071370 scopus 로고    scopus 로고
    • On the mathematical foundations of learning
    • Cucker F., and Smale S. On the mathematical foundations of learning. Bulletin of the AMS 39 1 (2001) 1-49
    • (2001) Bulletin of the AMS , vol.39 , Issue.1 , pp. 1-49
    • Cucker, F.1    Smale, S.2
  • 38
    • 84950437532 scopus 로고
    • Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments
    • Currin C., Mitchell T.J., Morris M.D., and Ylvisaker D. Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments. Journal of the American Statistical Association 86 (1991) 953-963
    • (1991) Journal of the American Statistical Association , vol.86 , pp. 953-963
    • Currin, C.1    Mitchell, T.J.2    Morris, M.D.3    Ylvisaker, D.4
  • 41
    • 1942543292 scopus 로고
    • Sequential design for the nonparametric regression of curves and surfaces
    • Faraway J.J. Sequential design for the nonparametric regression of curves and surfaces. Computing Science and Statistics 22 (1990) 104-110
    • (1990) Computing Science and Statistics , vol.22 , pp. 104-110
    • Faraway, J.J.1
  • 45
    • 37849015710 scopus 로고    scopus 로고
    • Fedorov, V. V., & Müller, W. G. (2004). Optimum design for correlated processes via eigenfunction expansions. Report 6, Department of Statistics and Mathematics, Wirtschaftsuniversität Wien.
  • 47
    • 0142178909 scopus 로고    scopus 로고
    • Fliess, M., & Sira-Ramiírez, H. (2003). An algebraic framework for linear identification. ESAIM: Control, Optimization and Calculus of Variations, (9), 151-168.
  • 48
    • 0036959271 scopus 로고    scopus 로고
    • Interior methods for nonlinear optimization
    • Forsgren A., Gill P.E., and Wright M.H. Interior methods for nonlinear optimization. SIAM Review 44 4 (2002) 525-597
    • (2002) SIAM Review , vol.44 , Issue.4 , pp. 525-597
    • Forsgren, A.1    Gill, P.E.2    Wright, M.H.3
  • 49
    • 0033165045 scopus 로고    scopus 로고
    • Closed-loop identification revisited
    • Forssell U., and Ljung L. Closed-loop identification revisited. Automatica 35 (1999) 1215-1241
    • (1999) Automatica , vol.35 , pp. 1215-1241
    • Forssell, U.1    Ljung, L.2
  • 50
    • 0033890054 scopus 로고    scopus 로고
    • Some results on optimum experiment design
    • Forssell U., and Ljung L. Some results on optimum experiment design. Automatica 36 (2000) 749-756
    • (2000) Automatica , vol.36 , pp. 749-756
    • Forssell, U.1    Ljung, L.2
  • 52
    • 37849051740 scopus 로고    scopus 로고
    • Gazut, S., Martinez, J. -M., & Issanchou, S. (2006). Plans d'expériences itératifs pour la construction de modèles non linéaires. In CD - 38èmes Journées de Statistique de la SFdS, Clamart, France.
  • 53
    • 33645389086 scopus 로고    scopus 로고
    • Identification for control. From the early achievements to the revival of experimental design
    • Gevers M. Identification for control. From the early achievements to the revival of experimental design. European Journal of Control 11 45 (2005) 335-352
    • (2005) European Journal of Control , vol.11 , Issue.45 , pp. 335-352
    • Gevers, M.1
  • 54
    • 0037361682 scopus 로고    scopus 로고
    • Model validation for control and controller validation in a prediction error identification framework-Part I: Theory
    • Gevers M., Bombois X., Codrons B., Scorletti G., and Anderson B.D.O. Model validation for control and controller validation in a prediction error identification framework-Part I: Theory. Automatica 39 (2003) 403-415
    • (2003) Automatica , vol.39 , pp. 403-415
    • Gevers, M.1    Bombois, X.2    Codrons, B.3    Scorletti, G.4    Anderson, B.D.O.5
  • 55
    • 0037363380 scopus 로고    scopus 로고
    • Model validation for control and controller validation in a prediction error identification framework-Part II: Illustrations
    • Gevers M., Bombois X., Codrons B., Scorletti G., and Anderson B.D.O. Model validation for control and controller validation in a prediction error identification framework-Part II: Illustrations. Automatica 39 (2003) 417-427
    • (2003) Automatica , vol.39 , pp. 417-427
    • Gevers, M.1    Bombois, X.2    Codrons, B.3    Scorletti, G.4    Anderson, B.D.O.5
  • 56
    • 0022324271 scopus 로고    scopus 로고
    • Gevers, M., & Ljung, L. (1985). Benefits of feedback in experiment design. In Preprints of the 7th IFAC/IFORS symposium on identification and system parameter estimation (pp. 909-914). York.
  • 57
    • 0022777808 scopus 로고
    • Optimal experiment design with respect to the intended model application
    • Gevers M., and Ljung L. Optimal experiment design with respect to the intended model application. Automatica 22 (1986) 543-554
    • (1986) Automatica , vol.22 , pp. 543-554
    • Gevers, M.1    Ljung, L.2
  • 59
    • 0024889396 scopus 로고
    • A stochastic imbedding approach for quantifying uncertainty in the estimation of restricted complexity models
    • Goodwin G.C., and Salgado M.E. A stochastic imbedding approach for quantifying uncertainty in the estimation of restricted complexity models. International Journal of Adaptive Control and Signal Processing 3 (1989) 333-356
    • (1989) International Journal of Adaptive Control and Signal Processing , vol.3 , pp. 333-356
    • Goodwin, G.C.1    Salgado, M.E.2
  • 60
    • 0028320375 scopus 로고
    • Further results on least-squares based adaptive minimum variance control
    • Guo L. Further results on least-squares based adaptive minimum variance control. SIAM Journal on Control and Optimization 32 1 (1994) 187-212
    • (1994) SIAM Journal on Control and Optimization , vol.32 , Issue.1 , pp. 187-212
    • Guo, L.1
  • 61
    • 33751026000 scopus 로고    scopus 로고
    • Improvements on removing non-optimal support points in D-optimum design algorithms
    • Harman R., and Pronzato L. Improvements on removing non-optimal support points in D-optimum design algorithms. Statistics & Probability Letters 77 (2007) 90-94
    • (2007) Statistics & Probability Letters , vol.77 , pp. 90-94
    • Harman, R.1    Pronzato, L.2
  • 64
    • 0141757426 scopus 로고    scopus 로고
    • Identification for control: Optimal input design with respect to a worst-case ν-gap cost function
    • Hildebrand R., and Gevers M. Identification for control: Optimal input design with respect to a worst-case ν-gap cost function. SIAM Journal on Control and Optimization 42 5 (2003) 1586-1608
    • (2003) SIAM Journal on Control and Optimization , vol.42 , Issue.5 , pp. 1586-1608
    • Hildebrand, R.1    Gevers, M.2
  • 65
    • 0003059560 scopus 로고
    • A review of experimental design procedures for regression model discrimination
    • Hill P.D.H. A review of experimental design procedures for regression model discrimination. Technometrics 20 (1978) 15-21
    • (1978) Technometrics , vol.20 , pp. 15-21
    • Hill, P.D.H.1
  • 66
    • 13244290166 scopus 로고    scopus 로고
    • From experiment design to closed-loop control
    • Hjalmarsson H. From experiment design to closed-loop control. Automatica 41 (2005) 393-438
    • (2005) Automatica , vol.41 , pp. 393-438
    • Hjalmarsson, H.1
  • 67
    • 0030397099 scopus 로고    scopus 로고
    • For model-based control design, closed-loop identification gives better performance
    • Hjalmarsson H., Gevers M., and De Bruyne F. For model-based control design, closed-loop identification gives better performance. Automatica 32 12 (1996) 1659-1673
    • (1996) Automatica , vol.32 , Issue.12 , pp. 1659-1673
    • Hjalmarsson, H.1    Gevers, M.2    De Bruyne, F.3
  • 68
    • 0030140586 scopus 로고    scopus 로고
    • Strong consistency of Bayes estimates in stochastic regression models
    • Hu I. Strong consistency of Bayes estimates in stochastic regression models. Journal of Multivariate Analysis 57 (1996) 215-227
    • (1996) Journal of Multivariate Analysis , vol.57 , pp. 215-227
    • Hu, I.1
  • 69
    • 0442319310 scopus 로고    scopus 로고
    • Strong consistency in stochastic regression models via posterior covariance matrices
    • Hu I. Strong consistency in stochastic regression models via posterior covariance matrices. Biometrika 84 3 (1997) 744-749
    • (1997) Biometrika , vol.84 , Issue.3 , pp. 744-749
    • Hu, I.1
  • 70
    • 0442272279 scopus 로고    scopus 로고
    • On sequential designs in nonlinear problems
    • Hu I. On sequential designs in nonlinear problems. Biometrika 85 2 (1998) 496-503
    • (1998) Biometrika , vol.85 , Issue.2 , pp. 496-503
    • Hu, I.1
  • 71
    • 0032536637 scopus 로고    scopus 로고
    • Strong consistency of Bayes estimates in nonlinear stochastic regression models
    • Hu I. Strong consistency of Bayes estimates in nonlinear stochastic regression models. Journal of Statistical Planning and Inference 67 (1998) 155-163
    • (1998) Journal of Statistical Planning and Inference , vol.67 , pp. 155-163
    • Hu, I.1
  • 73
    • 37849051456 scopus 로고    scopus 로고
    • Asymptotic theory of nonlinear regression with long-range dependence
    • Ivanov A.V., and Leonenko N.N. Asymptotic theory of nonlinear regression with long-range dependence. Mathematical Methods of Statistics 13 2 (2004) 153-178
    • (2004) Mathematical Methods of Statistics , vol.13 , Issue.2 , pp. 153-178
    • Ivanov, A.V.1    Leonenko, N.N.2
  • 74
    • 85128569580 scopus 로고    scopus 로고
    • 2 input design for identification. In Proceedings of the 43rd conference on decision and control (pp. 388-393), The Bahamas, December.
  • 75
    • 27644436561 scopus 로고    scopus 로고
    • Input design via LMIs admitting frequency-wise model specifications in confidence regions
    • Jansson H., and Hjalmarsson H. Input design via LMIs admitting frequency-wise model specifications in confidence regions. IEEE Transactions on Automatic Control 50 10 (2005) 1534-1549
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.10 , pp. 1534-1549
    • Jansson, H.1    Hjalmarsson, H.2
  • 76
    • 79960731192 scopus 로고    scopus 로고
    • Jansson, H., & Hjalmarsson, H. (2005b). Optimal experiment design in closed loop. In Proceedings of the 16th IFAC world congress on automatic control, Prague. CD-ROM - Paper 04528.
  • 77
    • 0000091003 scopus 로고
    • Asymptotic properties of nonlinear least squares estimation
    • Jennrich R.I. Asymptotic properties of nonlinear least squares estimation. Annals of Mathematical Statistics 40 (1969) 633-643
    • (1969) Annals of Mathematical Statistics , vol.40 , pp. 633-643
    • Jennrich, R.I.1
  • 79
    • 0000561424 scopus 로고    scopus 로고
    • Efficient global optimization of expensive black-box functions
    • Jones D., Schonlau M., and Welch W.J. Efficient global optimization of expensive black-box functions. Journal of Global Optimization 13 (1998) 455-492
    • (1998) Journal of Global Optimization , vol.13 , pp. 455-492
    • Jones, D.1    Schonlau, M.2    Welch, W.J.3
  • 83
    • 0001079593 scopus 로고
    • Stochastic estimation of the maximum of a regression function
    • Kiefer J., and Wolfowitz J. Stochastic estimation of the maximum of a regression function. Annals of Mathematical Statistics 23 (1952) 462-466
    • (1952) Annals of Mathematical Statistics , vol.23 , pp. 462-466
    • Kiefer, J.1    Wolfowitz, J.2
  • 86
    • 37849001869 scopus 로고    scopus 로고
    • Krige, D. G. (1951). A statistical approach to some mine valuation and allied problems on the Witwatersrand. Master Thesis, University of Witwatersrand.
  • 87
    • 0000135864 scopus 로고    scopus 로고
    • Performance improvement and limitations in extremum seeking control
    • Krstić M. Performance improvement and limitations in extremum seeking control. System & Control Letters 39 (2000) 313-326
    • (2000) System & Control Letters , vol.39 , pp. 313-326
    • Krstić, M.1
  • 89
    • 0033906528 scopus 로고    scopus 로고
    • Stability of extremum seeking feedback for general nonlinear dynamic systems
    • Krstić M., and Wang H.-H. Stability of extremum seeking feedback for general nonlinear dynamic systems. Automatica 36 (2000) 595-601
    • (2000) Automatica , vol.36 , pp. 595-601
    • Krstić, M.1    Wang, H.-H.2
  • 90
    • 0022026340 scopus 로고
    • Sensors and controllers location in distributed systems-a survey
    • Kubrusly C.S., and Malebranche H. Sensors and controllers location in distributed systems-a survey. Automatica 21 2 (1985) 117-128
    • (1985) Automatica , vol.21 , Issue.2 , pp. 117-128
    • Kubrusly, C.S.1    Malebranche, H.2
  • 91
    • 0002025786 scopus 로고    scopus 로고
    • Dual control of linearly parameterised models via prediction of posterior densities
    • Kulcsár C., Pronzato L., and Walter E. Dual control of linearly parameterised models via prediction of posterior densities. European Journal of Control 2 1 (1996) 135-143
    • (1996) European Journal of Control , vol.2 , Issue.1 , pp. 135-143
    • Kulcsár, C.1    Pronzato, L.2    Walter, E.3
  • 92
    • 37849046742 scopus 로고    scopus 로고
    • Kulcsár, C., Pronzato, L., & Walter, E. (1996b). Experimental design for the control of linear state-space systems. In Proceedings of the 13th IFAC world congress (Vol. C, pp. 175-180), San Francisco, June.
  • 93
    • 0025414522 scopus 로고
    • Convergence of adaptive control schemes using least-squares parameter estimates
    • Kumar P.R. Convergence of adaptive control schemes using least-squares parameter estimates. IEEE Transactions on Automatic Control 35 4 (1990) 416-424
    • (1990) IEEE Transactions on Automatic Control , vol.35 , Issue.4 , pp. 416-424
    • Kumar, P.R.1
  • 94
    • 38249041669 scopus 로고
    • Asymptotically efficient adaptive control in stochastic regression models
    • Lai T.L. Asymptotically efficient adaptive control in stochastic regression models. Advances in Applied Mathematics 7 23 (1986) 23-45
    • (1986) Advances in Applied Mathematics , vol.7 , Issue.23 , pp. 23-45
    • Lai, T.L.1
  • 95
    • 21844490193 scopus 로고
    • Asymptotic properties of nonlinear least squares estimates in stochastic regression models
    • Lai T.L. Asymptotic properties of nonlinear least squares estimates in stochastic regression models. Annals of Statistics 22 4 (1994) 1917-1930
    • (1994) Annals of Statistics , vol.22 , Issue.4 , pp. 1917-1930
    • Lai, T.L.1
  • 98
    • 49249142146 scopus 로고
    • Strong consistency of least squares estimates in multiple regression II
    • Lai T.L., Robbins H., and Wei C.Z. Strong consistency of least squares estimates in multiple regression II. Journal of Multivariate Analysis 9 (1979) 343-361
    • (1979) Journal of Multivariate Analysis , vol.9 , pp. 343-361
    • Lai, T.L.1    Robbins, H.2    Wei, C.Z.3
  • 99
    • 0000258837 scopus 로고
    • Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems
    • Lai T.L., and Wei C.Z. Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems. Annals of Statistics 10 1 (1982) 154-166
    • (1982) Annals of Statistics , vol.10 , Issue.1 , pp. 154-166
    • Lai, T.L.1    Wei, C.Z.2
  • 100
    • 1542609106 scopus 로고
    • On the concept of excitation in least squares identification and adaptive control
    • Lai T.L., and Wei C.Z. On the concept of excitation in least squares identification and adaptive control. Stochastics 16 (1986) 227-254
    • (1986) Stochastics , vol.16 , pp. 227-254
    • Lai, T.L.1    Wei, C.Z.2
  • 101
  • 102
    • 18244407288 scopus 로고    scopus 로고
    • A derivative based surrogate model for approximating and optimizing the output of an expensive computer simulation
    • Leary S., Bhaskar A., and Keane A.J. A derivative based surrogate model for approximating and optimizing the output of an expensive computer simulation. Journal of Global Optimization 30 (2004) 39-58
    • (2004) Journal of Global Optimization , vol.30 , pp. 39-58
    • Leary, S.1    Bhaskar, A.2    Keane, A.J.3
  • 103
    • 84972492656 scopus 로고
    • Inference based on estimating functions in the presence of nuisance parameters
    • Liang K.-Y., and Zeger S.L. Inference based on estimating functions in the presence of nuisance parameters. Statistical Science 10 2 (1995) 158-173
    • (1995) Statistical Science , vol.10 , Issue.2 , pp. 158-173
    • Liang, K.-Y.1    Zeger, S.L.2
  • 105
    • 0002085132 scopus 로고
    • Maximum likelihood estimation for spatial models
    • Griffith D.A. (Ed), Michigan Document Services, Ann Arbor, Michigan
    • Mardia K.V. Maximum likelihood estimation for spatial models. In: Griffith D.A. (Ed). Spatial statistics: Past, present and future (1990), Michigan Document Services, Ann Arbor, Michigan 203-253
    • (1990) Spatial statistics: Past, present and future , pp. 203-253
    • Mardia, K.V.1
  • 106
    • 0001873620 scopus 로고    scopus 로고
    • Kriging and splines with derivative information
    • (correction in Biometrika (1998), 85(2), 205)
    • Mardia K.V., Kent J.T., Goodall C.R., and Little J.A. Kriging and splines with derivative information. Biometrika 83 1 (1996) 207-221 (correction in Biometrika (1998), 85(2), 205)
    • (1996) Biometrika , vol.83 , Issue.1 , pp. 207-221
    • Mardia, K.V.1    Kent, J.T.2    Goodall, C.R.3    Little, J.A.4
  • 107
    • 84865486245 scopus 로고
    • Principles of geostatistics
    • Matheron G. Principles of geostatistics. Economic Geology 58 (1963) 1246-1266
    • (1963) Economic Geology , vol.58 , pp. 1246-1266
    • Matheron, G.1
  • 108
    • 0016061785 scopus 로고
    • An algorithm for the construction of "D-optimal" experimental designs
    • Mitchell T.J. An algorithm for the construction of "D-optimal" experimental designs. Technometrics 16 (1974) 203-210
    • (1974) Technometrics , vol.16 , pp. 203-210
    • Mitchell, T.J.1
  • 110
    • 37849049103 scopus 로고    scopus 로고
    • Mockus, J., Tiesis, V., & Zilinskas, A. (1978). The application of Bayesian methods for seeking the extremum. In L. C. W. Dixon, G. P. Szego (Eds.), Towards global optimisation (Vol. 2, pp. 117-129). Amsterdam: North Holland.
  • 111
    • 0141811967 scopus 로고    scopus 로고
    • Variational calculus in the space of measures and optimal design
    • Atkinson A., Bogacka B., and Zhigljavsky A. (Eds), Kluwer, Dordrecht
    • Molchanov I., and Zuyev S. Variational calculus in the space of measures and optimal design. In: Atkinson A., Bogacka B., and Zhigljavsky A. (Eds). Optimum design 2000 (2001), Kluwer, Dordrecht 79-90
    • (2001) Optimum design 2000 , pp. 79-90
    • Molchanov, I.1    Zuyev, S.2
  • 112
    • 0141792082 scopus 로고    scopus 로고
    • Steepest descent algorithm in a space of measures
    • Molchanov I., and Zuyev S. Steepest descent algorithm in a space of measures. Statistics and Computing 12 (2002) 115-123
    • (2002) Statistics and Computing , vol.12 , pp. 115-123
    • Molchanov, I.1    Zuyev, S.2
  • 114
    • 0000923281 scopus 로고
    • Bayesian design and analysis of computer experiments: Use of derivatives in surface prediction
    • Morris M.D., Mitchell T.J., and Ylvisaker D. Bayesian design and analysis of computer experiments: Use of derivatives in surface prediction. Technometrics 35 3 (1993) 243-255
    • (1993) Technometrics , vol.35 , Issue.3 , pp. 243-255
    • Morris, M.D.1    Mitchell, T.J.2    Ylvisaker, D.3
  • 115
    • 0011630842 scopus 로고
    • Optimal designs for nonparametric kernel regression
    • Müller H.-G. Optimal designs for nonparametric kernel regression. Statistics & Probability Letters 2 (1984) 285-290
    • (1984) Statistics & Probability Letters , vol.2 , pp. 285-290
    • Müller, H.-G.1
  • 117
    • 3843055558 scopus 로고    scopus 로고
    • Measures for designs in experiments with correlated errors
    • Müller W.G., and Pázman A. Measures for designs in experiments with correlated errors. Biometrika 90 2 (2003) 423-434
    • (2003) Biometrika , vol.90 , Issue.2 , pp. 423-434
    • Müller, W.G.1    Pázman, A.2
  • 119
    • 37849032511 scopus 로고
    • The choice of estimators and experimental designs in a linear regression model according to a joint criterion of optimality
    • Näther W. The choice of estimators and experimental designs in a linear regression model according to a joint criterion of optimality. Mathematische Operationsforschung und Statistik 6 (1975) 677-686
    • (1975) Mathematische Operationsforschung und Statistik , vol.6 , pp. 677-686
    • Näther, W.1
  • 121
    • 0036647148 scopus 로고    scopus 로고
    • A note on input-to-state stabilization for nonlinear sampled-data systems
    • Nešić D., and Laila D.S. A note on input-to-state stabilization for nonlinear sampled-data systems. IEEE Transactions on Automatic Control 47 7 (2002) 1153-1158
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.7 , pp. 1153-1158
    • Nešić, D.1    Laila, D.S.2
  • 122
    • 37849008539 scopus 로고    scopus 로고
    • Nešić, D., & Teel, A. R. (2001). Sampled-data control of nonlinear systems: An overview of recent results. In Perspectives in robust control (Vol. 268, pp. 221-239). Lecture Notes in Control and Information Science. New York: Springer.
  • 123
    • 0034318315 scopus 로고    scopus 로고
    • Strong laws of large numbers under weak assumptions with application
    • Ninness B. Strong laws of large numbers under weak assumptions with application. IEEE Transactions on Automatic Control 45 11 (2000) 2117-2122
    • (2000) IEEE Transactions on Automatic Control , vol.45 , Issue.11 , pp. 2117-2122
    • Ninness, B.1
  • 124
    • 0029520979 scopus 로고
    • Estimation of model quality
    • Ninness B., and Goodwin G. Estimation of model quality. Automatica 31 12 (1995) 1771-1797
    • (1995) Automatica , vol.31 , Issue.12 , pp. 1771-1797
    • Ninness, B.1    Goodwin, G.2
  • 125
    • 37849043217 scopus 로고    scopus 로고
    • Pázman, A. (1986). Foundations of optimum experimental design. Reidel (Kluwer group), Dordrecht (co-pub. VEDA, Bratislava).
  • 127
    • 3843118529 scopus 로고    scopus 로고
    • Optimum design of experiments subject to correlated errors
    • Pázman A., and Müller W.G. Optimum design of experiments subject to correlated errors. Statistics & Probability Letters 52 (2001) 29-34
    • (2001) Statistics & Probability Letters , vol.52 , pp. 29-34
    • Pázman, A.1    Müller, W.G.2
  • 128
  • 129
    • 0030078475 scopus 로고    scopus 로고
    • A Dirac function method for densities of nonlinear statistics and for marginal densities in nonlinear regression
    • Pázman A., and Pronzato L. A Dirac function method for densities of nonlinear statistics and for marginal densities in nonlinear regression. Statistics & Probability Letters 26 (1996) 159-167
    • (1996) Statistics & Probability Letters , vol.26 , pp. 159-167
    • Pázman, A.1    Pronzato, L.2
  • 130
    • 37849009778 scopus 로고    scopus 로고
    • Pázman, A., & Pronzato, L. (2004). Simultaneous choice of design and estimator in nonlinear regression with parameterized variance. In A. Di Bucchianico, H. Läuter, H. P. & Wynn (Eds.), mODa'7-Advances in model-oriented design and analysis, Proceedings of the 7th international workshop (pp. 117-124), Heeze (Netherlands). Physica-Verlag: Heidelberg.
  • 131
    • 33646096452 scopus 로고    scopus 로고
    • On the irregular behavior of LS estimators for asymptotically singular designs
    • Pázman A., and Pronzato L. On the irregular behavior of LS estimators for asymptotically singular designs. Statistics & Probability Letters 76 (2006) 1089-1096
    • (2006) Statistics & Probability Letters , vol.76 , pp. 1089-1096
    • Pázman, A.1    Pronzato, L.2
  • 132
    • 37849016002 scopus 로고    scopus 로고
    • Pilz, J. (1983). Bayesian estimation and experimental design in linear regression models (Vol. 55). Teubner-Texte zur Mathematik, Leipzig. (also Wiley, New York, 1991).
  • 133
    • 0034437872 scopus 로고    scopus 로고
    • Nonlinear adaptive tracking using kernel estimators: Estimation and test for linearity
    • Poggi J.-M., and Portier B. Nonlinear adaptive tracking using kernel estimators: Estimation and test for linearity. SIAM Journal on Control Optimization 39 3 (2000) 707-727
    • (2000) SIAM Journal on Control Optimization , vol.39 , Issue.3 , pp. 707-727
    • Poggi, J.-M.1    Portier, B.2
  • 134
    • 0034453216 scopus 로고    scopus 로고
    • Nonparametric estimation and adaptive control of functional autoregressive models
    • Portier B., and Oulidi A. Nonparametric estimation and adaptive control of functional autoregressive models. SIAM Journal on Control Optimization 39 2 (2000) 411-432
    • (2000) SIAM Journal on Control Optimization , vol.39 , Issue.2 , pp. 411-432
    • Portier, B.1    Oulidi, A.2
  • 135
    • 0034343448 scopus 로고    scopus 로고
    • Adaptive optimisation and D-optimum experimental design
    • Pronzato L. Adaptive optimisation and D-optimum experimental design. Annals of Statistics 28 6 (2000) 1743-1761
    • (2000) Annals of Statistics , vol.28 , Issue.6 , pp. 1743-1761
    • Pronzato, L.1
  • 136
    • 33645963097 scopus 로고    scopus 로고
    • On the sequential construction of optimum bounded designs
    • Pronzato L. On the sequential construction of optimum bounded designs. Journal of Statistical Planning and Inference 136 (2006) 2783-2804
    • (2006) Journal of Statistical Planning and Inference , vol.136 , pp. 2783-2804
    • Pronzato, L.1
  • 138
    • 0001248533 scopus 로고
    • Second-order approximation of the entropy in nonlinear least-squares estimation
    • Erratum, 32(1) (1996) 104
    • Pronzato L., and Pázman A. Second-order approximation of the entropy in nonlinear least-squares estimation. Kybernetika 30 2 (1994) 187-198 Erratum, 32(1) (1996) 104
    • (1994) Kybernetika , vol.30 , Issue.2 , pp. 187-198
    • Pronzato, L.1    Pázman, A.2
  • 139
    • 0035125060 scopus 로고    scopus 로고
    • Using densities of estimators to compare pharmacokinetic experiments
    • Pronzato L., and Pázman A. Using densities of estimators to compare pharmacokinetic experiments. Computers in Biology and Medicine 31 3 (2001) 179-195
    • (2001) Computers in Biology and Medicine , vol.31 , Issue.3 , pp. 179-195
    • Pronzato, L.1    Pázman, A.2
  • 140
    • 37848999164 scopus 로고    scopus 로고
    • Pronzato, L., & Pázman, A. (2004). Recursively re-weighted least-squares estimation in regression models with parameterized variance. In Proceedings of the EUSIPCO'2004, Vienna, Austria (pp. 621-624).
  • 141
    • 37849030543 scopus 로고    scopus 로고
    • Sequential experimental design and response optimisation
    • Pronzato L., and Thierry E. Sequential experimental design and response optimisation. Statistical Methods and Applications 11 3 (2003) 277-292
    • (2003) Statistical Methods and Applications , vol.11 , Issue.3 , pp. 277-292
    • Pronzato, L.1    Thierry, E.2
  • 142
    • 0022093313 scopus 로고
    • Robust experiment design via stochastic approximation
    • Pronzato L., and Walter E. Robust experiment design via stochastic approximation. Mathematical Biosciences 75 (1985) 103-120
    • (1985) Mathematical Biosciences , vol.75 , pp. 103-120
    • Pronzato, L.1    Walter, E.2
  • 143
    • 0024032016 scopus 로고
    • Robust experiment design via maximin optimization
    • Pronzato L., and Walter E. Robust experiment design via maximin optimization. Mathematical Biosciences 89 (1988) 161-176
    • (1988) Mathematical Biosciences , vol.89 , pp. 161-176
    • Pronzato, L.1    Walter, E.2
  • 144
    • 0002128349 scopus 로고
    • Experimental design for estimating the optimum point in a response surface
    • Pronzato L., and Walter E. Experimental design for estimating the optimum point in a response surface. Acta Applicandae Mathematicae 33 (1993) 45-68
    • (1993) Acta Applicandae Mathematicae , vol.33 , pp. 45-68
    • Pronzato, L.1    Walter, E.2
  • 145
    • 0028549449 scopus 로고
    • Minimum-volume ellipsoids containing compact sets: Application to parameter bounding
    • Pronzato L., and Walter E. Minimum-volume ellipsoids containing compact sets: Application to parameter bounding. Automatica 30 11 (1994) 1731-1739
    • (1994) Automatica , vol.30 , Issue.11 , pp. 1731-1739
    • Pronzato, L.1    Walter, E.2
  • 147
    • 0035327288 scopus 로고    scopus 로고
    • Renormalised steepest descent in Hilbert space converges to a two-point attractor
    • Pronzato L., Wynn H.P., and Zhigljavsky A.A. Renormalised steepest descent in Hilbert space converges to a two-point attractor. Acta Applicandae Mathematicae 67 (2001) 1-18
    • (2001) Acta Applicandae Mathematicae , vol.67 , pp. 1-18
    • Pronzato, L.1    Wynn, H.P.2    Zhigljavsky, A.A.3
  • 150
    • 0001355083 scopus 로고
    • Efficient rounding of approximate designs
    • Pukelsheim F., and Reider S. Efficient rounding of approximate designs. Biometrika 79 4 (1992) 763-770
    • (1992) Biometrika , vol.79 , Issue.4 , pp. 763-770
    • Pukelsheim, F.1    Reider, S.2
  • 151
    • 0020793408 scopus 로고
    • Optimal experiment design for identification of linear distributed parameter systems: Frequency domain approach
    • Rafajłowicz E. Optimal experiment design for identification of linear distributed parameter systems: Frequency domain approach. IEEE Transactions on Automatic Control 28 7 (1983) 806-808
    • (1983) IEEE Transactions on Automatic Control , vol.28 , Issue.7 , pp. 806-808
    • Rafajłowicz, E.1
  • 152
    • 0022709549 scopus 로고
    • Optimum choice of moving sensor trajectories for distributed parameter system identification
    • Rafajłowicz E. Optimum choice of moving sensor trajectories for distributed parameter system identification. International Journal of Control 43 5 (1986) 1441-1451
    • (1986) International Journal of Control , vol.43 , Issue.5 , pp. 1441-1451
    • Rafajłowicz, E.1
  • 153
    • 13244281996 scopus 로고    scopus 로고
    • Robust identification and control based on ellipsoidal parametric uncertainty descriptions
    • Raynaud H.-F., Pronzato L., and Walter E. Robust identification and control based on ellipsoidal parametric uncertainty descriptions. European Journal of Control 6 3 (2000) 245-257
    • (2000) European Journal of Control , vol.6 , Issue.3 , pp. 245-257
    • Raynaud, H.-F.1    Pronzato, L.2    Walter, E.3
  • 155
    • 34247473772 scopus 로고    scopus 로고
    • Robust optimal experiment design for system identification
    • Rojas C.R., Welsh J.S., Goodwin G.C., and Feuer A. Robust optimal experiment design for system identification. Automatica 43 (2007) 993-1008
    • (2007) Automatica , vol.43 , pp. 993-1008
    • Rojas, C.R.1    Welsh, J.S.2    Goodwin, G.C.3    Feuer, A.4
  • 156
    • 37849026847 scopus 로고    scopus 로고
    • Sacks, J., & Schiller, S. (1988). Spatial designs. In S. S. Gupta, & J. O. Berger (Eds.), Statistical decision theory and related topics IV (Vol. 2, pp. 385-399). Heidelberg: Springer.
  • 159
    • 37849045693 scopus 로고    scopus 로고
    • Schaback, R. (2003). Mathematical results concerning kernel techniques. In Preprints of the 13th IFAC symposium on system identification (pp. 1814-1819), Rotterdam.
  • 160
    • 37849049715 scopus 로고
    • Simultaneous interval estimates of linear functions of parameters
    • Scheffé H. Simultaneous interval estimates of linear functions of parameters. Bulletin Institute of International Statistics 38 (1961) 245-253
    • (1961) Bulletin Institute of International Statistics , vol.38 , pp. 245-253
    • Scheffé, H.1
  • 161
    • 37849039918 scopus 로고    scopus 로고
    • Schonlau, M., Welch, W. J., & Jones, D. R. (1998). Global versus local search in constrained optimization of computer models. In New developments and applications in experimental design, lecture notes - monograph series (Vol. 34, pp. 11-25). IMS, Hayward.
  • 169
    • 0019437220 scopus 로고
    • Comparison of some instrumental variable methods-consistency and accuracy aspects
    • Söderström T., and Stoica P. Comparison of some instrumental variable methods-consistency and accuracy aspects. Automatica 17 1 (1981) 101-115
    • (1981) Automatica , vol.17 , Issue.1 , pp. 101-115
    • Söderström, T.1    Stoica, P.2
  • 172
    • 0042514681 scopus 로고
    • On asymptotically optimal sequential experimental design
    • Spokoinyi V.G. On asymptotically optimal sequential experimental design. Advances in Soviet Mathematics 12 (1992) 135-150
    • (1992) Advances in Soviet Mathematics , vol.12 , pp. 135-150
    • Spokoinyi, V.G.1
  • 174
    • 0017506028 scopus 로고
    • On consistency for the method of least squares using martingale theory
    • Sternby J. On consistency for the method of least squares using martingale theory. IEEE Transactions on Automatic Control 22 3 (1977) 346-352
    • (1977) IEEE Transactions on Automatic Control , vol.22 , Issue.3 , pp. 346-352
    • Sternby, J.1
  • 175
    • 0016689441 scopus 로고
    • Optimal design: Some geometrical aspects of D-optimality
    • Titterington D.M. Optimal design: Some geometrical aspects of D-optimality. Biometrika 62 2 (1975) 313-320
    • (1975) Biometrika , vol.62 , Issue.2 , pp. 313-320
    • Titterington, D.M.1
  • 176
    • 37849028732 scopus 로고    scopus 로고
    • Titterington, D. M. (1976). Algorithms for computing D-optimal designs on a finite design space. In Proceedings of the 1976 conference on information science and systems, (pp. 213-216), Baltimore, 1976. Department of Electronic Engineering, John Hopkins University.
  • 178
    • 0015614520 scopus 로고
    • An actively adaptive control for linear systems with random parameters via the dual control approach
    • Tse E., and Bar-Shalom Y. An actively adaptive control for linear systems with random parameters via the dual control approach. IEEE Transactions on Automatic Control 18 2 (1973) 109-117
    • (1973) IEEE Transactions on Automatic Control , vol.18 , Issue.2 , pp. 109-117
    • Tse, E.1    Bar-Shalom, Y.2
  • 181
    • 0030354931 scopus 로고    scopus 로고
    • Maximum likelihood estimation under a spatial sampling scheme
    • van der Vaart A.W. Maximum likelihood estimation under a spatial sampling scheme. Annals of Statistics 24 5 (1996) 2049-2057
    • (1996) Annals of Statistics , vol.24 , Issue.5 , pp. 2049-2057
    • van der Vaart, A.W.1
  • 185
    • 37849014703 scopus 로고    scopus 로고
    • Vazquez, E. (2005). Modélisation comportementale de systèmes nonlinéaires multivariables par méthodes à noyaux et applications. Ph.D. Thesis, Université Paris XI, Orsay, France.
  • 186
    • 37849016455 scopus 로고    scopus 로고
    • Vazquez, E., & Walter, E. (2003). Multi-output support vector regression. In Preprints of the 13th IFAC symposium on system identification (pp. 1820-1825), Rotterdam.
  • 189
    • 0001762424 scopus 로고
    • Smooth regression analysis
    • Watson G.S. Smooth regression analysis. Sankhya, Series A 26 (1964) 359-372
    • (1964) Sankhya, Series A , vol.26 , pp. 359-372
    • Watson, G.S.1
  • 190
    • 37849022518 scopus 로고    scopus 로고
    • Wright, S. (Ed.) (1997). Primal-dual interior-point methods. Philadelphia: SIAM.
  • 191
    • 0001396096 scopus 로고
    • Asymptotic inference from sequential design in a nonlinear situation
    • Wu C.F.J. Asymptotic inference from sequential design in a nonlinear situation. Biometrika 72 3 (1985) 553-558
    • (1985) Biometrika , vol.72 , Issue.3 , pp. 553-558
    • Wu, C.F.J.1
  • 192
    • 0000217549 scopus 로고
    • The sequential generation of D-optimum experimental designs
    • Wynn H.P. The sequential generation of D-optimum experimental designs. Annals of Mathematical Statistics 41 (1970) 1655-1664
    • (1970) Annals of Mathematical Statistics , vol.41 , pp. 1655-1664
    • Wynn, H.P.1
  • 193
    • 37849001506 scopus 로고    scopus 로고
    • Wynn, H. P. (2004). Maximum entropy sampling and general equivalence theory. In A. Di Bucchianico, H. Läuter, & H. P. Wynn (Eds.), mODa'7-advances in model-oriented design and analysis, Proceedings of the 7th international workshop (pp. 211-218), Heeze (Netherlands), June. Heidelberg: Physica-Verlag.
  • 195
    • 21344483125 scopus 로고
    • Maximum likelihood estimation of parameters under a spatial sampling scheme
    • Ying Z. Maximum likelihood estimation of parameters under a spatial sampling scheme. Annals of Statistics 21 (1993) 1567-1590
    • (1993) Annals of Statistics , vol.21 , pp. 1567-1590
    • Ying, Z.1
  • 197
    • 33745161073 scopus 로고    scopus 로고
    • Spatial sampling design under the infill asymptotic framework
    • Zhu Z., and Zhang H. Spatial sampling design under the infill asymptotic framework. Environmetrics 17 4 (2006) 323-337
    • (2006) Environmetrics , vol.17 , Issue.4 , pp. 323-337
    • Zhu, Z.1    Zhang, H.2


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