메뉴 건너뛰기




Volumn 9, Issue 4, 2003, Pages 251-290

Worst-case simulation of discrete linear time-invariant interval dynamic systems

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DECISION MAKING; DISCRETE TIME CONTROL SYSTEMS; OPTIMIZATION; PROBLEM SOLVING;

EID: 0038156051     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024666428387     Document Type: Article
Times cited : (67)

References (63)
  • 1
    • 0013207290 scopus 로고    scopus 로고
    • Wrapping function of the initial value problem for ODE: Applications
    • Anguelov, R.: Wrapping Function of the Initial Value Problem for ODE: Applications, Reliable Computing 5 (2) (1999), pp. 143-164.
    • (1999) Reliable Computing , vol.5 , Issue.2 , pp. 143-164
    • Anguelov, R.1
  • 2
    • 0035305509 scopus 로고    scopus 로고
    • Application of modal intervals to the generation of error-bounded envelopes
    • Armengol, J., Vehí, J., Travé-Massuyès, L., and Sainz, M. Á.: Application of Modal Intervals to the Generation of Error-Bounded Envelopes, Reliable Computing 7 (2) (2001), pp. 171-185.
    • (2001) Reliable Computing , vol.7 , Issue.2 , pp. 171-185
    • Armengol, J.1    Vehí, J.2    Travé-Massuyès, L.3    Sainz, M.Á.4
  • 4
    • 0037789530 scopus 로고    scopus 로고
    • Specification of actuators intended to use for benchmark definition
    • Bartys, M.: Specification of Actuators Intended to Use for Benchmark Definition, DAMADICS Internal Report, http://diag.mchtr.pw.edu.pl/damadics.
    • DAMADICS Internal Report
    • Bartys, M.1
  • 6
    • 0015049633 scopus 로고
    • Recursive state estimation for a set-membership description of uncertainty
    • Bertzekas, D. P. and Rhodes, I.B.: Recursive State Estimation for a Set-Membership Description of Uncertainty, IEEE Transactions on Automatic Control 16 (1971), pp. 117-124.
    • (1971) IEEE Transactions on Automatic Control , vol.16 , pp. 117-124
    • Bertzekas, D.P.1    Rhodes, I.B.2
  • 7
    • 0000329979 scopus 로고    scopus 로고
    • Verified integration of ODEs and flows using differential algebraic methods on high-order taylor models
    • Berz, M. and Makino, K.: Verified Integration of ODEs and Flows Using Differential Algebraic Methods on High-Order Taylor Models, Reliable Computing 4 (4) (1998), pp. 361-369.
    • (1998) Reliable Computing , vol.4 , Issue.4 , pp. 361-369
    • Berz, M.1    Makino, K.2
  • 8
    • 0003362033 scopus 로고    scopus 로고
    • Matrix analysis
    • Springer-Verlag, New York
    • Bhatia, R.: Matrix Analysis, Graduate Texts in Mathematics 169, Springer-Verlag, New York, 1997.
    • (1997) Graduate Texts in Mathematics , vol.169
    • Bhatia, R.1
  • 10
    • 0038466254 scopus 로고    scopus 로고
    • Robust estimation of variable and parameters in dynamic networks
    • Beijing, China
    • Brdys, M. A.: Robust Estimation of Variable and Parameters in Dynamic Networks, in: Proceedings of 14th IFAC World Congress, Beijing, China, 1999.
    • (1999) Proceedings of 14th IFAC World Congress
    • Brdys, M.A.1
  • 12
    • 0036990371 scopus 로고    scopus 로고
    • A class of uncertain linear interval models for which a set based robust simulation can be reduced to few pointwise simulations
    • Las Vegas, USA
    • Cugueró, P., Puig, V., Saludes, J., and Escobet, T.: A Class of Uncertain Linear Interval Models for Which a Set Based Robust Simulation Can Be Reduced to Few Pointwise Simulations, in: Proceedings of 41th Conference on Decision and Control (CDC'02), Las Vegas, USA, 2002.
    • (2002) Proceedings of 41th Conference on Decision and Control (CDC'02)
    • Cugueró, P.1    Puig, V.2    Saludes, J.3    Escobet, T.4
  • 15
    • 0003239096 scopus 로고    scopus 로고
    • Worst-case simulation of uncertain systems
    • Garulli, A., Tesi, A., and Vicino, A. (eds), Springer, London
    • El Ghauoi, L. and Calafiore, G.: Worst-Case Simulation of Uncertain Systems, in: Garulli, A., Tesi, A., and Vicino, A. (eds), Robustness in Identification and Control, Springer, London, 1999.
    • (1999) Robustness in Identification and Control
    • El Ghauoi, L.1    Calafiore, G.2
  • 16
    • 0042250800 scopus 로고
    • Global solutions of signomial problems
    • George Washington University, Program in Logistics, Washington, DC
    • Falk, J. E.: Global Solutions of Signomial Problems, Technical Report T-274, George Washington University, Program in Logistics, Washington, DC, 1973.
    • (1973) Technical Report , vol.T-274
    • Falk, J.E.1
  • 17
    • 0033352351 scopus 로고    scopus 로고
    • Genetic optimization of interval-arithmetic based worst-case circuit tolerance analysis
    • Femia, N.: Genetic Optimization of Interval-Arithmetic Based Worst-Case Circuit Tolerance Analysis, IEEE Transactions on Circuits and Systems 146 (1999), pp. 1441-1456.
    • (1999) IEEE Transactions on Circuits and Systems , vol.146 , pp. 1441-1456
    • Femia, N.1
  • 19
    • 0022091645 scopus 로고
    • Computational complexity of the range of the polynomial in several variables
    • Gaganov, A. A.: Computational Complexity of the Range of the Polynomial in Several Variables, Cybernetics (1985), pp. 418-421.
    • (1985) Cybernetics , pp. 418-421
    • Gaganov, A.A.1
  • 21
    • 0024106903 scopus 로고
    • Failure detection in dynamic systems with modelling errors
    • Horak, D. T.: Failure Detection in Dynamic Systems with Modelling Errors, Journal of Guidance, Control and Dynamics 11 (6) (1988), pp. 508-516.
    • (1988) Journal of Guidance, Control and Dynamics , vol.11 , Issue.6 , pp. 508-516
    • Horak, D.T.1
  • 23
    • 44049111346 scopus 로고
    • Constraint reasoning based on interval arithmetic: The tolerance approach
    • Hyvonen, E.: Constraint Reasoning Based on Interval Arithmetic: The Tolerance Approach, Artificial Intelligence 58 (1992), pp. 71-112.
    • (1992) Artificial Intelligence , vol.58 , pp. 71-112
    • Hyvonen, E.1
  • 25
    • 0035895098 scopus 로고    scopus 로고
    • Guaranteed nonlinear estimation using constraint propagation on sets
    • Jaulin, L., Kieffer, M., Braems, I., and Walter, E.: Guaranteed Nonlinear Estimation Using Constraint Propagation on Sets, International Journal of Control 74 (18) (2001), pp. 1772-1782.
    • (2001) International Journal of Control , vol.74 , Issue.18 , pp. 1772-1782
    • Jaulin, L.1    Kieffer, M.2    Braems, I.3    Walter, E.4
  • 32
    • 1842855901 scopus 로고    scopus 로고
    • Rigorously computed orbits of dynamical systems of ordinary differential equations
    • Kuhn, W.: Rigorously Computed Orbits of Dynamical Systems of Ordinary Differential Equations, Computing 61 (1) (1998), pp. 47-67.
    • (1998) Computing , vol.61 , Issue.1 , pp. 47-67
    • Kuhn, W.1
  • 35
    • 0000466527 scopus 로고
    • Enclosing the solution of ordinary initial and boundary value problems
    • Kaucher, E., Kulisch, U., and Ullrich, Ch. (eds), B.G. Teubner, Stuttgart
    • Lohner, R. J.: Enclosing the Solution of Ordinary Initial and Boundary Value Problems, in: Kaucher, E., Kulisch, U., and Ullrich, Ch. (eds): Computer Arithmetic: Scientific Computation and Programming Languages, B.G. Teubner, Stuttgart, 1987, pp. 255-286.
    • (1987) Computer Arithmetic: Scientific Computation and Programming Languages , pp. 255-286
    • Lohner, R.J.1
  • 36
    • 0012224872 scopus 로고    scopus 로고
    • On the ubiquity of the wrapping effect in the computation of error bounds
    • Kulisch, U., Lohner, R. J., and Facius, A. (eds), Springer, Wien
    • Lohner, R. J.: On the Ubiquity of the Wrapping Effect in the Computation of Error Bounds, in: Kulisch, U., Lohner, R. J., and Facius, A. (eds): Perspectives on Enclosure Methods, Springer, Wien, 2001.
    • (2001) Perspectives on Enclosure Methods
    • Lohner, R.J.1
  • 38
    • 0026118704 scopus 로고
    • Estimation theory for nonlinear models and set membership uncertainty
    • Milanese, M. and Vicino, A.: Estimation Theory for Nonlinear Models and Set Membership Uncertainty, Automatica 27 (2) (1991), pp. 403-408.
    • (1991) Automatica , vol.27 , Issue.2 , pp. 403-408
    • Milanese, M.1    Vicino, A.2
  • 41
    • 0002265766 scopus 로고    scopus 로고
    • Validated solutions of initial value problems for ordinary differential equations
    • Nedialkov, N. S., Jackson, K. R., and Corliss, G. F.: Validated Solutions of Initial Value Problems for Ordinary Differential Equations, Applied Mathematics and Computation 105 (1) (1999), pp. 21-68.
    • (1999) Applied Mathematics and Computation , vol.105 , Issue.1 , pp. 21-68
    • Nedialkov, N.S.1    Jackson, K.R.2    Corliss, G.F.3
  • 42
    • 0012226884 scopus 로고
    • The wrapping effect, ellipsoid arithmetic, stability and confidence regions
    • Neumaier, A.: The Wrapping Effect, Ellipsoid Arithmetic, Stability and Confidence Regions, Computing Supplementum 9 (1993), pp. 175-190.
    • (1993) Computing Supplementum , vol.9 , pp. 175-190
    • Neumaier, A.1
  • 44
    • 0013255155 scopus 로고    scopus 로고
    • Modal robust state estimator with deterministic specification of uncertainty
    • Garulli, A., Tesi, A., and Vicino, A. (eds), Springer, London
    • Norton, J. P.: Modal Robust State Estimator with Deterministic Specification of Uncertainty, in: Garulli, A., Tesi, A., and Vicino, A. (eds), Robustness in Identification and Control, Springer, London, 1999.
    • (1999) Robustness in Identification and Control
    • Norton, J.P.1
  • 47
    • 0024092799 scopus 로고
    • Application of interval analysis techniques to linear systems: Part III-initial value problems
    • Oppenheimer, E. P. and Michel, A. N.: Application of Interval Analysis Techniques to Linear Systems: Part III-Initial Value Problems, IEEE Transactions on Circuits and Systems 35 (1988), pp. 1243-1256.
    • (1988) IEEE Transactions on Circuits and Systems , vol.35 , pp. 1243-1256
    • Oppenheimer, E.P.1    Michel, A.N.2
  • 49
    • 0003291689 scopus 로고    scopus 로고
    • A new algorithm for adaptive threshold generation in robust fault detection based on a sliding window and global optimisation
    • Germany
    • Puig, V., Saludes, J., and Quevedo, J.: A New Algorithm for Adaptive Threshold Generation in Robust Fault Detection Based on a Sliding Window and Global Optimisation, in: Proceedings of European Control Conference 1999 (ECC'99), Germany, 1999.
    • (1999) Proceedings of European Control Conference 1999 (ECC'99)
    • Puig, V.1    Saludes, J.2    Quevedo, J.3
  • 51
    • 0001223006 scopus 로고
    • Computationally related problems
    • Sahni, S.: Computationally Related Problems, SIAM Journal on Computing 3 (1974), pp. 262-279.
    • (1974) SIAM Journal on Computing , vol.3 , pp. 262-279
    • Sahni, S.1
  • 53
    • 0002913297 scopus 로고
    • Recursive state estimation: Unknown but bounded errors and systems inputs
    • Schweppe, F. C.: Recursive State Estimation: Unknown but Bounded Errors and Systems Inputs, IEEE Transactions on Automatic Control 13 (1968), pp. 22-28.
    • (1968) IEEE Transactions on Automatic Control , vol.13 , pp. 22-28
    • Schweppe, F.C.1
  • 54
    • 0003345220 scopus 로고
    • Introduction to numerical analysis
    • Springer, New York
    • Stoer, J., and Burlisch, R.: Introduction to Numerical Analysis, Texts in Applied Mathematics 12, Springer, New York, 1993.
    • (1993) Texts in Applied Mathematics , vol.12
    • Stoer, J.1    Burlisch, R.2
  • 56
    • 0000290425 scopus 로고
    • Simulation of controlled uncertain nonlinear systems
    • Tibken, B. and Hofer, E. P,: Simulation of Controlled Uncertain Nonlinear Systems, Applied Mathematics and Computation 70 (1995), pp. 329-338.
    • (1995) Applied Mathematics and Computation , vol.70 , pp. 329-338
    • Tibken, B.1    Hofer, E.P.2
  • 60
    • 0000058120 scopus 로고
    • Special issue on parameter identification with error bounds
    • Walter, E. (ed.): Special Issue on Parameter Identification with Error Bounds, Mathematics and Computers in Simulation 32 (5-6) (1990), pp. 447-607.
    • (1990) Mathematics and Computers in Simulation , vol.32 , Issue.5-6 , pp. 447-607
    • Walter, E.1
  • 61
    • 0002680001 scopus 로고
    • Understanding line drawings of scenes with shadows
    • Winston, P. H. (ed.), McGraw-Hill, New York
    • Waltz, D.: Understanding Line Drawings of Scenes with Shadows, in: Winston, P. H. (ed.), The Psychology of Computer Vision, McGraw-Hill, New York, 1975, pp. 19-91.
    • (1975) The Psychology of Computer Vision , pp. 19-91
    • Waltz, D.1
  • 63
    • 0003660674 scopus 로고
    • The algebraic eigenvalue problem
    • Clarendon Press, Oxford
    • Wilkinson, J. H.: The Algebraic Eigenvalue Problem, in: Monographs on Numerical Analysis, Clarendon Press, Oxford, 1992.
    • (1992) Monographs on Numerical Analysis
    • Wilkinson, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.