메뉴 건너뛰기




Volumn 6328 LNCS, Issue PART 1, 2010, Pages 136-146

Multi-innovation generalized extended stochastic gradient algorithm for multi-input multi-output nonlinear box-jenkins systems based on the auxiliary model

Author keywords

Box Jenkins systems; Multi innovation identification; Multi input multi output systems; Recursive identification; Stochastic gradient

Indexed keywords

BOX-JENKINS; MULTI-INNOVATION IDENTIFICATION; MULTI-INPUT MULTI-OUTPUT SYSTEMS; RECURSIVE IDENTIFICATION; STOCHASTIC GRADIENT; MULTI INPUT MULTI OUTPUT SYSTEMS;

EID: 78649534762     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-15621-2_17     Document Type: Conference Paper
Times cited : (4)

References (73)
  • 1
    • 22344449915 scopus 로고    scopus 로고
    • Identification of Hammerstein nonlinear ARMAX systems
    • DOI 10.1016/j.automatica.2005.03.026, PII S0005109805001172
    • Ding, F., Chen, T.: Identification of Hammerstein nonlinear ARMAX systems. Automatica 41(9), 1479-1489 (2005) (Pubitemid 41000116)
    • (2005) Automatica , vol.41 , Issue.9 , pp. 1479-1489
    • Ding, F.1    Chen, T.2
  • 2
    • 0018457371 scopus 로고    scopus 로고
    • Bootstrap estimation of parameters and states of linear multivariable systems
    • El-Sherief, H., Sinha, N.: Bootstrap estimation of parameters and states of linear multivariable systems. IEEE Transactions on Automatic Control 24(2), 340-343 (2002)
    • (2002) IEEE Transactions on Automatic Control , vol.24 , Issue.2 , pp. 340-343
    • El-Sherief, H.1    Sinha, N.2
  • 3
    • 0017527072 scopus 로고
    • On bootstrap identification using stochastic approximation
    • Prasad, R.M., Sinha, A.K.: On bootstrap identification using stochastic approximation. IEEE Transactions on Automatic Control 22(4), 671-672 (1977)
    • (1977) IEEE Transactions on Automatic Control , vol.22 , Issue.4 , pp. 671-672
    • Prasad, R.M.1    Sinha, A.K.2
  • 4
    • 0018031413 scopus 로고
    • ON the RECURSIVE IDENTIFICATION of MULTI-INPUT, MULTI-OUTPUT SYSTEMS
    • DOI 10.1016/0005-1098(78)90050-X
    • Gauthier, A., Landau, I.D.: On the recursive identification of multi-input muiltoutput systems. Automatica 14(6), 609-614 (1978) (Pubitemid 9408597)
    • (1978) Automatica , vol.14 , Issue.6 , pp. 609-614
    • Gauthier, A.1    Landau, I.D.2
  • 5
    • 0018738527 scopus 로고
    • Choices of models for the identification of linear multivariable discrete-time systems
    • El-Sherief, H., Sinha, N.K.: Choices of models for the identification of linear multivariable discrete-time systems. IEEE Proceedings, Part D, Control Theory and Applications 126(12), 1326-1330 (1979)
    • (1979) IEEE Proceedings, Part D, Control Theory and Applications , vol.126 , Issue.12 , pp. 1326-1330
    • El-Sherief, H.1    Sinha, N.K.2
  • 6
    • 0018492744 scopus 로고
    • Recursive estimation of the parameters of linears multivariable systems
    • Sinha, N.K., Kwong, Y.H.: Recursive estimation of the parameters of linears multivariable systems. Automatica 15(4), 471-475 (1979)
    • (1979) Automatica , vol.15 , Issue.4 , pp. 471-475
    • Sinha, N.K.1    Kwong, Y.H.2
  • 7
    • 0019541330 scopus 로고
    • Parameters identification of a state-space model of multivariable systems using the extended leastsquares method
    • El-Sherief, H.: Parameters identification of a state-space model of multivariable systems using the extended leastsquares method. IEEE Transactions on Systems, Man and Cybernetics 11(3), 223-227 (1981)
    • (1981) IEEE Transactions on Systems, Man and Cybernetics , vol.11 , Issue.3 , pp. 223-227
    • El-Sherief, H.1
  • 9
    • 0028330583 scopus 로고
    • Subspace algorithm for the identification of combined determinestochastic systems
    • N4SID
    • Overshee, P.V., N4SID, De Moor, B.: Subspace algorithm for the identification of combined determinestochastic systems. Automatica 30(1), 75-93 (1994)
    • (1994) Automatica , vol.30 , Issue.1 , pp. 75-93
    • Overshee, P.V.1    De Moor, B.2
  • 10
    • 0028330582 scopus 로고
    • Identification of the deterministic part of MIMO state space models given in innovations form inputoutput data
    • Verhaegen, M.: Identification of the deterministic part of MIMO state space models given in innovations form inputoutput data. Automatica 30(1), 61-71 (1994)
    • (1994) Automatica , vol.30 , Issue.1 , pp. 61-71
    • Verhaegen, M.1
  • 11
    • 16344391042 scopus 로고    scopus 로고
    • Performance bounds of the forgetting factor least squares algorithm for time-varying systems with finite measurement data
    • Ding, F., Chen, T.: Performance bounds of the forgetting factor least squares algorithm for time-varying systems with finite measurement data. IEEE Transactions on Circuits and Systems-I: Regular Papers 52(3), 555-566 (2005)
    • (2005) IEEE Transactions on Circuits and Systems-I: Regular Papers , vol.52 , Issue.3 , pp. 555-566
    • Ding, F.1    Chen, T.2
  • 12
    • 33244491904 scopus 로고    scopus 로고
    • Performance analysis of estimation algorithms of non-stationary ARMA processes
    • Ding, F., Shi, Y., Chen, T.: Performance analysis of estimation algorithms of non-stationary ARMA processes. IEEE Transactions on Signal Processing 54(3), 1041-1053 (2006)
    • (2006) IEEE Transactions on Signal Processing , vol.54 , Issue.3 , pp. 1041-1053
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 13
    • 53149113056 scopus 로고    scopus 로고
    • Amendments to Performance analysis of estimation algorithms of non-stationary ARMA processes
    • Ding, F., Shi, Y., Chen, T.: Amendments to Performance analysis of estimation algorithms of non-stationary ARMA processes. IEEE Transactions on Signal Processing Part I 56(10), 4983-4984 (2008)
    • (2008) IEEE Transactions on Signal Processing Part I , vol.56 , Issue.10 , pp. 4983-4984
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 14
    • 33646125617 scopus 로고    scopus 로고
    • Convergence analysis of estimation algorithms of dualrate stochastic systems
    • Ding, F., Liu, X.P., Shi, Y.: Convergence analysis of estimation algorithms of dualrate stochastic systems. Applied Mathematics and Computation 176(1), 245-261 (2006)
    • (2006) Applied Mathematics and Computation , vol.176 , Issue.1 , pp. 245-261
    • Ding, F.1    Liu, X.P.2    Shi, Y.3
  • 15
    • 46849098008 scopus 로고    scopus 로고
    • The residual based extended least squares identification method for dual-rate systems
    • Ding, J., Ding, F.: The residual based extended least squares identification method for dual-rate systems. Computers & Mathematics with Applications 56(6), 1479-1487 (2008)
    • (2008) Computers & Mathematics with Applications , vol.56 , Issue.6 , pp. 1479-1487
    • Ding, J.1    Ding, F.2
  • 16
    • 47049105559 scopus 로고    scopus 로고
    • On consistency of recursive least squares identification algorithms for controlled auto-regression models
    • Xiao, Y.S., Ding, F., Zhou, Y., Li, M., Dai, J.Y.: On consistency of recursive least squares identification algorithms for controlled auto-regression models. Applied Mathematical Modelling 32(11), 2207-2215 (2008)
    • (2008) Applied Mathematical Modelling , vol.32 , Issue.11 , pp. 2207-2215
    • Xiao, Y.S.1    Ding, F.2    Zhou, Y.3    Li, M.4    Dai, J.Y.5
  • 17
    • 74149087797 scopus 로고    scopus 로고
    • Time series AR modeling with missing observations based on the polynomial transformation
    • Ding, J., Han, L.L., Chen, X.M.: Time series AR modeling with missing observations based on the polynomial transformation. Mathematical and Computer Modelling 51(5-6), 527-536 (2010)
    • (2010) Mathematical and Computer Modelling , vol.51 , Issue.5-6 , pp. 527-536
    • Ding, J.1    Han, L.L.2    Chen, X.M.3
  • 19
    • 36448956116 scopus 로고    scopus 로고
    • Adaptive digital control of Hammerstein nonlinear systems with limited output sampling
    • Ding, F., Chen, T., Iwai, Z.: Adaptive digital control of Hammerstein nonlinear systems with limited output sampling. SIAM Journal on Control and Optimization 45(6), 2257-2276 (2006)
    • (2006) SIAM Journal on Control and Optimization , vol.45 , Issue.6 , pp. 2257-2276
    • Ding, F.1    Chen, T.2    Iwai, Z.3
  • 20
    • 47749121736 scopus 로고    scopus 로고
    • Estimation of the parameters of multi- Channel autoregressive signals from noisy observations
    • Mahmoudi, A., Karimi, M.: Estimation of the parameters of multi- channel autoregressive signals from noisy observations. Signal Processing 88(11), 2777-2783 (2008)
    • (2008) Signal Processing , vol.88 , Issue.11 , pp. 2777-2783
    • Mahmoudi, A.1    Karimi, M.2
  • 21
    • 52249117881 scopus 로고    scopus 로고
    • Variable step-size LMS algorithm with a quotient form
    • Zhao, S.K., Man, Z.H., Khoo, S.Y., Wu, H.R.: Variable step-size LMS algorithm with a quotient form. Signal Processing 89(1), 67-76 (2009)
    • (2009) Signal Processing , vol.89 , Issue.1 , pp. 67-76
    • Zhao, S.K.1    Man, Z.H.2    Khoo, S.Y.3    Wu, H.R.4
  • 22
    • 49249128625 scopus 로고    scopus 로고
    • Performance analysis of stochastic gradient algorithms under weak conditions
    • Ding, F., Yang, H.Z., Liu, F.: Performance analysis of stochastic gradient algorithms under weak conditions. Science in China Series F-Information Sciences 51(9), 1269-1280 (2008)
    • (2008) Science in China Series F-Information Sciences , vol.51 , Issue.9 , pp. 1269-1280
    • Ding, F.1    Yang, H.Z.2    Liu, F.3
  • 24
    • 33847385393 scopus 로고    scopus 로고
    • A gradient based adaptive control algorithm for dual-rate systems
    • Ding, F., Chen, T.: A gradient based adaptive control algorithm for dual-rate systems. Asian Journal of Control 8(4), 314-323 (2006)
    • (2006) Asian Journal of Control , vol.8 , Issue.4 , pp. 314-323
    • Ding, F.1    Chen, T.2
  • 25
    • 77954174918 scopus 로고    scopus 로고
    • A modified stochastic gradient based parameter estimation algorithm for dual-rate sampled-data systems
    • Ding, J., Shi, Y., Wang, H.G., Ding, F.: A modified stochastic gradient based parameter estimation algorithm for dual-rate sampled-data systems. Digital Signal Processing 20(4), 1238-1249 (2010)
    • (2010) Digital Signal Processing , vol.20 , Issue.4 , pp. 1238-1249
    • Ding, J.1    Shi, Y.2    Wang, H.G.3    Ding, F.4
  • 26
    • 33751236756 scopus 로고    scopus 로고
    • Performance analysis of multi-innovation gradient type identification methods
    • DOI 10.1016/j.automatica.2006.07.024, PII S0005109806003232
    • Ding, F., Chen, T.: Performance analysis of multi-innovation gradient type identification methods. Automatica 43(1), 1-14 (2007) (Pubitemid 44792035)
    • (2007) Automatica , vol.43 , Issue.1 , pp. 1-14
    • Ding, F.1    Chen, T.2
  • 27
    • 67349177024 scopus 로고    scopus 로고
    • Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises
    • Ding, F., Liu, P.X., Liu, G.: Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises. Signal Processing 89(10), 1883-1890 (2009)
    • (2009) Signal Processing , vol.89 , Issue.10 , pp. 1883-1890
    • Ding, F.1    Liu, P.X.2    Liu, G.3
  • 28
    • 57249097181 scopus 로고    scopus 로고
    • Self-tuning control based on multi-innovation stochastic gradient parameter estimation
    • Zhang, J.B., Ding, F., Shi, Y.: Self-tuning control based on multi-innovation stochastic gradient parameter estimation. Systems & Control Letters 58(1), 69-75 (2009)
    • (2009) Systems & Control Letters , vol.58 , Issue.1 , pp. 69-75
    • Zhang, J.B.1    Ding, F.2    Shi, Y.3
  • 29
    • 67349090936 scopus 로고    scopus 로고
    • Multi-innovation stochastic gradient algorithms for multiinput multi-output systems
    • Han, L.L., Ding, F.: Multi-innovation stochastic gradient algorithms for multiinput multi-output systems. Digital Signal Processing 19(4), 545-554 (2009)
    • (2009) Digital Signal Processing , vol.19 , Issue.4 , pp. 545-554
    • Han, L.L.1    Ding, F.2
  • 30
    • 63049125735 scopus 로고    scopus 로고
    • Identification for multirate multi-input systems using the multi-innovation identification theory
    • Han, L.L., Ding, F.: Identification for multirate multi-input systems using the multi-innovation identification theory. Computers & Mathematics with Applications 57(9), 1438-1449 (2009)
    • (2009) Computers & Mathematics with Applications , vol.57 , Issue.9 , pp. 1438-1449
    • Han, L.L.1    Ding, F.2
  • 31
    • 77949486033 scopus 로고    scopus 로고
    • Performance analysis of the auxiliary models based multiinnovation stochastic gradient estimation algorithm for output error systems
    • Wang, D.Q., Ding, F.: Performance analysis of the auxiliary models based multiinnovation stochastic gradient estimation algorithm for output error systems. Digital Signal Processing 20(3), 750-762 (2010)
    • (2010) Digital Signal Processing , vol.20 , Issue.3 , pp. 750-762
    • Wang, D.Q.1    Ding, F.2
  • 32
    • 77954175918 scopus 로고    scopus 로고
    • Several multi-innovation identification methods
    • Ding, F.: Several multi-innovation identification methods. Digital Signal Processing 20(4), 1027-1039 (2010)
    • (2010) Digital Signal Processing , vol.20 , Issue.4 , pp. 1027-1039
    • Ding, F.1
  • 33
    • 77954174920 scopus 로고    scopus 로고
    • Modeling and identification for non-uniformly periodically sampled-data systems
    • Xie, L., Yang, H.Z., Ding, F.: Modeling and identification for non-uniformly periodically sampled-data systems. IET Control Theory & Applications 4(5), 784-794 (2010)
    • (2010) IET Control Theory & Applications , vol.4 , Issue.5 , pp. 784-794
    • Xie, L.1    Yang, H.Z.2    Ding, F.3
  • 34
    • 77954564106 scopus 로고    scopus 로고
    • Multi-innovation extended stochastic gradient algorithm and its performance analysis
    • Liu, Y.J., Yu, L., Ding, F.: Multi-innovation extended stochastic gradient algorithm and its performance analysis, Circuits. Systems and Signal Processing 29(4), 649-667 (2010)
    • (2010) Circuits. Systems and Signal Processing , vol.29 , Issue.4 , pp. 649-667
    • Liu, Y.J.1    Yu, L.2    Ding, F.3
  • 35
    • 77952585183 scopus 로고    scopus 로고
    • Multi-innovation least squares identification for linear and pseudo-linear regression models
    • Liu, P.X., Liu, G.: Multi-innovation least squares identification for linear and pseudo-linear regression models. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 40(3), 767-778 (2010)
    • (2010) IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics , vol.40 , Issue.3 , pp. 767-778
    • Liu, P.X.1    Liu, G.2
  • 36
    • 34247197061 scopus 로고    scopus 로고
    • Multi-innovation least squares identification methods based on the auxiliary model for MISO systems
    • Ding, F., Chen, H.B., Li, M.: Multi-innovation least squares identification methods based on the auxiliary model for MISO systems. Applied Mathematics and Computation 187(2), 658-668 (2007)
    • (2007) Applied Mathematics and Computation , vol.187 , Issue.2 , pp. 658-668
    • Ding, F.1    Chen, H.B.2    Li, M.3
  • 37
    • 74149086591 scopus 로고    scopus 로고
    • Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model
    • Liu, Y.J., Xiao, Y.S., Zhao, X.L.: Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model. Applied Mathematics and Computation 215(4), 1477-1483 (2009)
    • (2009) Applied Mathematics and Computation , vol.215 , Issue.4 , pp. 1477-1483
    • Liu, Y.J.1    Xiao, Y.S.2    Zhao, X.L.3
  • 38
    • 25844444580 scopus 로고    scopus 로고
    • Parameter estimation of dual-rate stochastic systems by using an output error method
    • DOI 10.1109/TAC.2005.854654
    • Ding, F., Chen, T.: Parameter estimation of dual-rate stochastic systems by using an output error method. IEEE Transactions on Automatic Control 50(9), 1436-1441 (2005) (Pubitemid 41388188)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.9 , pp. 1436-1441
    • Ding, F.1    Chen, T.2
  • 40
    • 69249219021 scopus 로고    scopus 로고
    • Auxiliary model identification method for multirate multi-input systems based on least squares
    • Han, L.L., Sheng, J., Ding, F., Shi, Y.: Auxiliary model identification method for multirate multi-input systems based on least squares. Mathematical and Computer Modelling 50(7-8), 1100-1106 (2009)
    • (2009) Mathematical and Computer Modelling , vol.50 , Issue.7-8 , pp. 1100-1106
    • Han, L.L.1    Sheng, J.2    Ding, F.3    Shi, Y.4
  • 41
    • 3843087260 scopus 로고    scopus 로고
    • Combined parameter and output estimation of dual-rate systems using an auxiliary model
    • Ding, F., Chen, T.: Combined parameter and output estimation of dual-rate systems using an auxiliary model. Automatica 40(10), 1739-1748 (2004)
    • (2004) Automatica , vol.40 , Issue.10 , pp. 1739-1748
    • Ding, F.1    Chen, T.2
  • 42
    • 67650315437 scopus 로고    scopus 로고
    • An auxiliary model based recursive least squares parameter estimation algorithm for non-uniformly sampled multirate systems. Proceedings of the Institution of Mechanical Engineers, Part I
    • Liu, Y.J., Xie, L., Ding, F.: An auxiliary model based recursive least squares parameter estimation algorithm for non-uniformly sampled multirate systems. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 223(4), 445-454 (2009)
    • (2009) Journal of Systems and Control Engineering , vol.223 , Issue.4 , pp. 445-454
    • Liu, Y.J.1    Xie, L.2    Ding, F.3
  • 44
    • 33947233313 scopus 로고    scopus 로고
    • Auxiliary model based least-squares identification methods for Hammerstein output-error systems
    • Ding, F., Shi, Y., Chen, T.: Auxiliary model based least-squares identification methods for Hammerstein output-error systems. Systems Control Letters 56(5), 373-380 (2007)
    • (2007) Systems Control Letters , vol.56 , Issue.5 , pp. 373-380
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 45
    • 77950862482 scopus 로고    scopus 로고
    • Auxiliary model-based RELS and MI-ELS algorithms for Hammerstein OEMA systems
    • Wang, D.Q., Chu, Y.Y., Ding, F.: Auxiliary model-based RELS and MI-ELS algorithms for Hammerstein OEMA systems. Computers & Mathematics with Applications 59(9), 3092-3098 (2010)
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.9 , pp. 3092-3098
    • Wang, D.Q.1    Chu, Y.Y.2    Ding, F.3
  • 46
    • 77953128333 scopus 로고    scopus 로고
    • Auxiliary model-based recursive generalized least squares parameter estimation for Hammerstein OEAR systems
    • Wang, D.Q., Chu, Y.Y., Yang, G.W., Ding, F.: Auxiliary model-based recursive generalized least squares parameter estimation for Hammerstein OEAR systems. Mathematical and Computer Modelling 52(1-2), 309-317 (2010)
    • (2010) Mathematical and Computer Modelling , vol.52 , Issue.1-2 , pp. 309-317
    • Wang, D.Q.1    Chu, Y.Y.2    Yang, G.W.3    Ding, F.4
  • 47
    • 26244448321 scopus 로고    scopus 로고
    • Gradient based iterative algorithms for solving a class of matrix equations
    • DOI 10.1109/TAC.2005.852558
    • Ding, F., Chen, T.: Gradient based iterative algorithms for solving a class of matrix equations. IEEE Transactions on Automatic Control 50(8), 1216-1221 (2005) (Pubitemid 41410122)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.8 , pp. 1216-1221
    • Ding, F.1    Chen, T.2
  • 48
    • 10444247504 scopus 로고    scopus 로고
    • Iterative least squares solutions of coupled Sylvester matrix equations
    • Ding, F., Chen, T.: Iterative least squares solutions of coupled Sylvester matrix equations. Systems & Control Letters 54(2), 95-107 (2005)
    • (2005) Systems & Control Letters , vol.54 , Issue.2 , pp. 95-107
    • Ding, F.1    Chen, T.2
  • 49
    • 33751185751 scopus 로고    scopus 로고
    • On iterative solutions of general coupled matrix equations
    • Ding, F., Chen, T.: On iterative solutions of general coupled matrix equations. SIAM Journal on Control and Optimization 44(6), 2269-2284 (2006)
    • (2006) SIAM Journal on Control and Optimization , vol.44 , Issue.6 , pp. 2269-2284
    • Ding, F.1    Chen, T.2
  • 50
    • 38949156204 scopus 로고    scopus 로고
    • Iterative solutions of the generalized Sylvester matrix equations by using the hierachical identification principle
    • Ding, F., Liu, P.X., Ding, J.: Iterative solutions of the generalized Sylvester matrix equations by using the hierachical identification principle. Applied Mathematics and Computation 197(1), 41-50 (2008)
    • (2008) Applied Mathematics and Computation , vol.197 , Issue.1 , pp. 41-50
    • Ding, F.1    Liu, P.X.2    Ding, J.3
  • 51
    • 68749110971 scopus 로고    scopus 로고
    • Gradient based iterative solutions for general linear matrix equations
    • Xie, L., Ding, J., Ding, F.: Gradient based iterative solutions for general linear matrix equations. Computers & Mathematics with Applications 58(7), 1441-1448 (2009)
    • (2009) Computers & Mathematics with Applications , vol.58 , Issue.7 , pp. 1441-1448
    • Xie, L.1    Ding, J.2    Ding, F.3
  • 52
    • 77953135397 scopus 로고    scopus 로고
    • Iterative solutions to matrix equations of form AiXBi=Fi
    • Ding, J., Liu, Y.J., Ding, F.: Iterative solutions to matrix equations of form AiXBi=Fi. Computers & Mathematics with Applications 59(11), 3500-3507 (2010)
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.11 , pp. 3500-3507
    • Ding, J.1    Liu, Y.J.2    Ding, F.3
  • 53
    • 77950189548 scopus 로고    scopus 로고
    • Transformations between some special matrices
    • Ding, F.: Transformations between some special matrices. Computers & Mathematics with Applications 59(8), 2676-2695 (2010)
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.8 , pp. 2676-2695
    • Ding, F.1
  • 54
    • 77949486667 scopus 로고    scopus 로고
    • Gradient based and least-squares based iterative identification methods for OE and OEMA systems
    • Ding, F., Liu, P.X., Liu, G.: Gradient based and least-squares based iterative identification methods for OE and OEMA systems. Digital Signal Processing 20(3), 664-677 (2010)
    • (2010) Digital Signal Processing , vol.20 , Issue.3 , pp. 664-677
    • Ding, F.1    Liu, P.X.2    Liu, G.3
  • 55
    • 77649187438 scopus 로고    scopus 로고
    • Hierarchical least squares based iterative identification for multivariable systems with moving average noises
    • Han, H.Q., Xie, L., Ding, F., Liu, X.G.: Hierarchical least squares based iterative identification for multivariable systems with moving average noises. Mathematical and Computer Modelling 51(9-10), 1213-1220 (2010)
    • (2010) Mathematical and Computer Modelling , vol.51 , Issue.9-10 , pp. 1213-1220
    • Han, H.Q.1    Xie, L.2    Ding, F.3    Liu, X.G.4
  • 56
    • 77954174851 scopus 로고    scopus 로고
    • Least-squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data
    • Liu, Y.J., Wang, D.Q., Ding, F.: Least-squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data. Digital Signal Processing 20(5), 1458-1467 (2010)
    • (2010) Digital Signal Processing , vol.20 , Issue.5 , pp. 1458-1467
    • Liu, Y.J.1    Wang, D.Q.2    Ding, F.3
  • 57
    • 68749087043 scopus 로고    scopus 로고
    • The residual based interactive least squares algorithms and simulation studies
    • Xiao, Y.S., Zhang, Y., Ding, J., Dai, J.Y.: The residual based interactive least squares algorithms and simulation studies. Computers & Mathematics with Applications 58(6), 1190-1197 (2009)
    • (2009) Computers & Mathematics with Applications , vol.58 , Issue.6 , pp. 1190-1197
    • Xiao, Y.S.1    Zhang, Y.2    Ding, J.3    Dai, J.Y.4
  • 58
    • 64849113991 scopus 로고    scopus 로고
    • The residual based interactive stochastic gradient algorithms for controlled moving average models
    • Wang, L.Y., Xie, L., Wang, X.F.: The residual based interactive stochastic gradient algorithms for controlled moving average models. Applied Mathematics and Computation 211(2), 442-449 (2009)
    • (2009) Applied Mathematics and Computation , vol.211 , Issue.2 , pp. 442-449
    • Wang, L.Y.1    Xie, L.2    Wang, X.F.3
  • 59
    • 33749241705 scopus 로고    scopus 로고
    • Multirate crosstalk identification in xDSL systems
    • DOI 10.1109/TCOMM.2006.881380
    • Shi, Y., Ding, F., Chen, T.: Multirate crosstalk identification in xDSL systems. IEEE Transactions on Communications 54(10), 1878-1886 (2006) (Pubitemid 44637822)
    • (2006) IEEE Transactions on Communications , vol.54 , Issue.10 , pp. 1878-1886
    • Shi, Y.1    Ding, F.2    Chen, T.3
  • 60
    • 33749249064 scopus 로고    scopus 로고
    • 2-Norm based recursive design of transmultiplexers with designable filter length
    • Shi, Y., Ding, F., Chen, T.: 2-Norm based recursive design of transmultiplexers with designable filter length. Circuits, Systems and Signal Processing 25(4), 447-462 (2006)
    • (2006) Circuits, Systems and Signal Processing , vol.25 , Issue.4 , pp. 447-462
    • Shi, Y.1    Ding, F.2    Chen, T.3
  • 61
    • 77954175887 scopus 로고    scopus 로고
    • Input-output data filtering based recursive least squares identification for CARARMA systems
    • Wang, D.Q., Ding, F.: Input-output data filtering based recursive least squares identification for CARARMA systems. Digital Signal Processing 20(4), 991-999 (2010)
    • (2010) Digital Signal Processing , vol.20 , Issue.4 , pp. 991-999
    • Wang, D.Q.1    Ding, F.2
  • 62
    • 77950187988 scopus 로고    scopus 로고
    • Convergence of stochastic gradient algorithm for multivariable ARX-like systems
    • Liu, Y.J., Sheng, J., Ding, R.F.: Convergence of stochastic gradient algorithm for multivariable ARX-like systems. Computers & Mathematics with Applications 59(8), 2615-2627 (2010)
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.8 , pp. 2615-2627
    • Liu, Y.J.1    Sheng, J.2    Ding, R.F.3
  • 63
    • 33646857021 scopus 로고    scopus 로고
    • Bias compensation based recursive least squares identification algorithm for MISO systems
    • Ding, F., Chen, T., Qiu, L.: Bias compensation based recursive least squares identification algorithm for MISO systems. IEEE Transactions on Circuits and Systems-II: Express Briefs 53(5), 349-353 (2006)
    • (2006) IEEE Transactions on Circuits and Systems-II: Express Briefs , vol.53 , Issue.5 , pp. 349-353
    • Ding, F.1    Chen, T.2    Qiu, L.3
  • 64
    • 33947255089 scopus 로고    scopus 로고
    • A finite-data-window least squares algorithm with a forgetting factor for dynamical modeling
    • DOI 10.1016/j.amc.2006.06.133, PII S0096300306009283
    • Ding, F., Xiao, Y.S.: A finite-data-window least squares algorithm with a forgetting factor for dynamical modeling. Applied Mathematics and Computation 186(1), 184-192 (2007) (Pubitemid 46435609)
    • (2007) Applied Mathematics and Computation , vol.186 , Issue.1 , pp. 184-192
    • Ding, F.1    Xiao, Y.2
  • 65
    • 34250622449 scopus 로고    scopus 로고
    • Consistency of HLS estimation algorithms for MIMO ARX-like systems
    • Wang, L.Y., Ding, F., Liu, P.X.: Consistency of HLS estimation algorithms for MIMO ARX-like systems. Applied Mathematics and Computation 190(2), 1081-1093 (2007)
    • (2007) Applied Mathematics and Computation , vol.190 , Issue.2 , pp. 1081-1093
    • Wang, L.Y.1    Ding, F.2    Liu, P.X.3
  • 66
    • 77956010793 scopus 로고    scopus 로고
    • Auxiliary model based multi-innovation algorithms for multivariable nonlinear systems
    • in press
    • Chen, J., Zhang, Y., Ding, R.F.: Auxiliary model based multi-innovation algorithms for multivariable nonlinear systems. Mathematical and Computer Modelling (2010) (in press)
    • (2010) Mathematical and Computer Modelling
    • Chen, J.1    Zhang, Y.2    Ding, R.F.3
  • 67
    • 34347327060 scopus 로고    scopus 로고
    • Author's reply to Comments on 'Identification of Hammerstein nonlinear ARMAX systems
    • Ding, F., Chen, T.: Author's reply to Comments on 'Identification of Hammerstein nonlinear ARMAX systems. Automatica 43(8), 14-97 (2007)
    • (2007) Automatica , vol.43 , Issue.8 , pp. 14-97
    • Ding, F.1    Chen, T.2
  • 68
    • 33745915835 scopus 로고    scopus 로고
    • Gradient-based identification methods for hammerstein nonlinear ARMAX models
    • DOI 10.1007/s11071-005-1850-z
    • Ding, F., Shi, Y., Chen, T.: Gradient based identification algorithms for nonlinear Hammerstein ARMAX models. Nonlinear Dynamics 45(1-2), 31-43 (2006) (Pubitemid 44048446)
    • (2006) Nonlinear Dynamics , vol.45 , Issue.1-2 , pp. 31-43
    • Ding, F.1    Shi, Y.2    Chen, T.3
  • 69
    • 55649109065 scopus 로고    scopus 로고
    • Extended stochastic gradient identification algorithms for Hammerstein-Wiener ARMAX Systems
    • Wang, D.Q., Ding, F.: Extended stochastic gradient identification algorithms for Hammerstein-Wiener ARMAX Systems. Computers & Mathematics with Applications 56(12), 3157-3164 (2008)
    • (2008) Computers & Mathematics with Applications , vol.56 , Issue.12 , pp. 3157-3164
    • Wang, D.Q.1    Ding, F.2
  • 70
    • 58349105805 scopus 로고    scopus 로고
    • Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems
    • Ding, F., Qiu, L., Chen, T.: Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems. Automatica 45(2), 324-332 (2009)
    • (2009) Automatica , vol.45 , Issue.2 , pp. 324-332
    • Ding, F.1    Qiu, L.2    Chen, T.3
  • 71
    • 22144434326 scopus 로고    scopus 로고
    • Hierarchical gradient-based identification of multivariable discrete-time systems
    • Ding, F., Chen, T.: Hierarchical gradient-based identification of multivariable discrete-time systems. Automatica 41(2), 315-325 (2005)
    • (2005) Automatica , vol.41 , Issue.2 , pp. 315-325
    • Ding, F.1    Chen, T.2
  • 72
    • 16244397443 scopus 로고    scopus 로고
    • Hierarchical least squares identification methods for multivariable systems
    • DOI 10.1109/TAC.2005.843856
    • Ding, F., Chen, T.: Hierarchical least squares identification methods for multivariable systems. IEEE Transactions on Automatic Control 50(3), 397-402 (2005) (Pubitemid 40448592)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.3 , pp. 397-402
    • Ding, F.1    Chen, T.2
  • 73
    • 22144498905 scopus 로고    scopus 로고
    • Hierarchical identification of lifted state-space models for general dual-rate systems
    • Ding, F., Chen, T.: Hierarchical identification of lifted state-space models for general dual-rate systems. IEEE Transactions on Circuits and Systems 52(6), 1179-1187 (2005)
    • (2005) IEEE Transactions on Circuits and Systems , vol.52 , Issue.6 , pp. 1179-1187
    • Ding, F.1    Chen, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.