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Volumn 26, Issue 4, 2013, Pages 487-493

An iterative numerical algorithm for modeling a class of Wiener nonlinear systems

Author keywords

Gradient search; Numerical algorithm; Parameter estimation; System modeling; Wiener nonlinear system

Indexed keywords

ESTIMATION MODELS; FASTER CONVERGENCE; GRADIENT SEARCH; INPUT-OUTPUT; ITERATIVE ESTIMATION; MEASUREMENT DATA; NUMERICAL ALGORITHMS; OPTIMIZATION PROBLEMS; STOCHASTIC GRADIENT ALGORITHMS; SYSTEM MODELING;

EID: 84872620255     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2012.12.001     Document Type: Article
Times cited : (23)

References (46)
  • 2
    • 0004236492 scopus 로고    scopus 로고
    • third ed. Johns Hopkins University Press Baltimore, MD
    • G.H. Golub, and C.F. Van Loan Matrix Computations third ed. 1996 Johns Hopkins University Press Baltimore, MD
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 3
    • 78650509563 scopus 로고    scopus 로고
    • Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations
    • M. Dehghan, and M. Hajarian Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations Applied Mathematics Letters 24 4 2011 444 449
    • (2011) Applied Mathematics Letters , vol.24 , Issue.4 , pp. 444-449
    • Dehghan, M.1    Hajarian, M.2
  • 4
    • 70350622178 scopus 로고    scopus 로고
    • An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
    • M. Dehghan, and M. Hajarian An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices Applied Mathematical Modelling 34 3 2010 639 654
    • (2010) Applied Mathematical Modelling , vol.34 , Issue.3 , pp. 639-654
    • Dehghan, M.1    Hajarian, M.2
  • 5
    • 10444247504 scopus 로고    scopus 로고
    • Iterative least squares solutions of coupled Sylvester matrix equations
    • F. Ding, and T. Chen Iterative least squares solutions of coupled Sylvester matrix equations Systems & Control Letters 54 2 2005 95 107
    • (2005) Systems & Control Letters , vol.54 , Issue.2 , pp. 95-107
    • Ding, F.1    Chen, T.2
  • 6
    • 33751185751 scopus 로고    scopus 로고
    • On iterative solutions of general coupled matrix equations
    • F. Ding, and T. Chen On iterative solutions of general coupled matrix equations SIAM Journal on Control and Optimization 44 6 2006 2269 2284
    • (2006) SIAM Journal on Control and Optimization , vol.44 , Issue.6 , pp. 2269-2284
    • Ding, F.1    Chen, T.2
  • 7
    • 38949156204 scopus 로고    scopus 로고
    • Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
    • F. Ding, X.P. Liu, and J. Ding Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle Applied Mathematics and Computation 197 1 2008 41 50
    • (2008) Applied Mathematics and Computation , vol.197 , Issue.1 , pp. 41-50
    • Ding, F.1    Liu, X.P.2    Ding, J.3
  • 9
    • 77951141155 scopus 로고    scopus 로고
    • Kalman filter based identification for systems with randomly missing measurements in a network environment
    • Y. Shi, and H. Fang Kalman filter based identification for systems with randomly missing measurements in a network environment International Journal of Control 83 3 2010 538 551
    • (2010) International Journal of Control , vol.83 , Issue.3 , pp. 538-551
    • Shi, Y.1    Fang, H.2
  • 10
    • 54249153250 scopus 로고    scopus 로고
    • L - 2 and l-infinity filtering for multirate systems using lifted models
    • B. Yu, Y. Shi, and H. Huang l - 2 and l-infinity filtering for multirate systems using lifted models Circuits, Systems, and Signal Processing 27 5 2008 699 711
    • (2008) Circuits, Systems, and Signal Processing , vol.27 , Issue.5 , pp. 699-711
    • Yu, B.1    Shi, Y.2    Huang, H.3
  • 11
    • 22144498905 scopus 로고    scopus 로고
    • Hierarchical identification of lifted state-space models for general dual-rate systems
    • F. Ding, and T. Chen Hierarchical identification of lifted state-space models for general dual-rate systems IEEE Transactions on Circuits and Systems - I: Regular Papers 52 6 2005 1179 1187
    • (2005) IEEE Transactions on Circuits and Systems - I: Regular Papers , vol.52 , Issue.6 , pp. 1179-1187
    • Ding, F.1    Chen, T.2
  • 12
    • 58349105805 scopus 로고    scopus 로고
    • Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems
    • F. Ding, L. Qiu, and T. Chen Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems Automatica 45 2 2009 324 332
    • (2009) Automatica , vol.45 , Issue.2 , pp. 324-332
    • Ding, F.1    Qiu, L.2    Chen, T.3
  • 13
    • 67949088087 scopus 로고    scopus 로고
    • Output feedback stabilization of networked control systems with random delays modeled by Markov chains
    • Y. Shi, and B. Yu Output feedback stabilization of networked control systems with random delays modeled by Markov chains IEEE Transactions on Automatic Control 54 7 2009 1668 1674
    • (2009) IEEE Transactions on Automatic Control , vol.54 , Issue.7 , pp. 1668-1674
    • Shi, Y.1    Yu, B.2
  • 14
    • 47549108847 scopus 로고    scopus 로고
    • Robust discrete-time sliding mode control for uncertain systems with time-varying state delay
    • M. Yan, and Y. Shi Robust discrete-time sliding mode control for uncertain systems with time-varying state delay IET Control Theory & Applications 2 8 2008 662 674
    • (2008) IET Control Theory & Applications , vol.2 , Issue.8 , pp. 662-674
    • Yan, M.1    Shi, Y.2
  • 15
    • 57249097181 scopus 로고    scopus 로고
    • Self-tuning control based on multi-innovation stochastic gradient parameter estimation
    • J.B. Zhang, F. Ding, and Y. Shi Self-tuning control based on multi-innovation stochastic gradient parameter estimation Systems & Control Letters 58 1 2009 69 75
    • (2009) Systems & Control Letters , vol.58 , Issue.1 , pp. 69-75
    • Zhang, J.B.1    Ding, F.2    Shi, Y.3
  • 16
    • 77954174851 scopus 로고    scopus 로고
    • Least-squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data
    • Y.J. Liu, and D.Q. Wang Least-squares based iterative algorithms for identifying Box-Jenkins models with finite measurement data Digital Signal Processing 20 5 2010 1458 1467
    • (2010) Digital Signal Processing , vol.20 , Issue.5 , pp. 1458-1467
    • Liu, Y.J.1    Wang, D.Q.2
  • 18
    • 79551472381 scopus 로고    scopus 로고
    • Identification methods for Hammerstein nonlinear systems
    • F. Ding, X.P. Liu, and G. Liu Identification methods for Hammerstein nonlinear systems Digital Signal Processing 21 2 2011 215 238
    • (2011) Digital Signal Processing , vol.21 , Issue.2 , pp. 215-238
    • Ding, F.1    Liu, X.P.2    Liu, G.3
  • 19
    • 79551473739 scopus 로고    scopus 로고
    • Least squares based and gradient based iterative identification for Wiener nonlinear systems
    • D.Q. Wang, and F. Ding Least squares based and gradient based iterative identification for Wiener nonlinear systems Signal Processing 91 5 2011 1182 1189
    • (2011) Signal Processing , vol.91 , Issue.5 , pp. 1182-1189
    • Wang, D.Q.1    Ding, F.2
  • 21
    • 77954175918 scopus 로고    scopus 로고
    • Several multi-innovation identification methods
    • F. Ding Several multi-innovation identification methods Digital Signal Processing 20 4 2010 1027 1039
    • (2010) Digital Signal Processing , vol.20 , Issue.4 , pp. 1027-1039
    • Ding, F.1
  • 22
    • 49249128625 scopus 로고    scopus 로고
    • Performance analysis of stochastic gradient algorithms under weak conditions
    • F. Ding, H.Z. Yang, and F. Liu Performance analysis of stochastic gradient algorithms under weak conditions Science in China Series F - Information Sciences 51 9 2008 1269 1280
    • (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
  • 23
    • 77955391352 scopus 로고    scopus 로고
    • Partially coupled stochastic gradient identification methods for non-uniformly sampled systems
    • F. Ding, G. Liu, and X.P. Liu Partially coupled stochastic gradient identification methods for non-uniformly sampled systems IEEE Transactions on Automatic Control 55 8 2010 1976 1981
    • (2010) IEEE Transactions on Automatic Control , vol.55 , Issue.8 , pp. 1976-1981
    • Ding, F.1    Liu, G.2    Liu, X.P.3
  • 24
    • 77954174920 scopus 로고    scopus 로고
    • Modeling and identification for non-uniformly periodically sampled-data systems
    • L. Xie, and Y.J. Liu Modeling and identification for non-uniformly periodically sampled-data systems IET Control Theory & Applications 4 5 2010 784 794
    • (2010) IET Control Theory & Applications , vol.4 , Issue.5 , pp. 784-794
    • Xie, L.1    Liu, Y.J.2
  • 25
    • 33751236756 scopus 로고    scopus 로고
    • Performance analysis of multi-innovation gradient type identification methods
    • F. Ding, and T. Chen Performance analysis of multi-innovation gradient type identification methods Automatica 43 1 2007 1 14
    • (2007) Automatica , vol.43 , Issue.1 , pp. 1-14
    • Ding, F.1    Chen, T.2
  • 26
    • 67349177024 scopus 로고    scopus 로고
    • Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises
    • F. Ding, X.P. Liu, and G. Liu Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises Signal Processing 89 10 2009 1883 1890
    • (2009) Signal Processing , vol.89 , Issue.10 , pp. 1883-1890
    • Ding, F.1    Liu, X.P.2    Liu, G.3
  • 27
    • 77949486033 scopus 로고    scopus 로고
    • Performance analysis of the auxiliary models based multi-innovation stochastic gradient estimation algorithm for output error systems
    • D.Q. Wang, and F. Ding Performance analysis of the auxiliary models based multi-innovation stochastic gradient estimation algorithm for output error systems Digital Signal Processing 20 3 2010 750 762
    • (2010) Digital Signal Processing , vol.20 , Issue.3 , pp. 750-762
    • Wang, D.Q.1    Ding, F.2
  • 28
    • 79960912040 scopus 로고    scopus 로고
    • Parameter estimation with scarce measurements
    • F. Ding, G. Liu, and X.P. Liu Parameter estimation with scarce measurements Automatica 47 8 2011 1646 1655
    • (2011) Automatica , vol.47 , Issue.8 , pp. 1646-1655
    • Ding, F.1    Liu, G.2    Liu, X.P.3
  • 29
    • 84857030542 scopus 로고    scopus 로고
    • Iterative parameter identification methods for nonlinear functions
    • J.H. Li, R.F. Ding, and Y. Yang Iterative parameter identification methods for nonlinear functions Applied Mathematical Modelling 26 6 2012 2739 2750
    • (2012) Applied Mathematical Modelling , vol.26 , Issue.6 , pp. 2739-2750
    • Li, J.H.1    Ding, R.F.2    Yang, Y.3
  • 30
    • 74149087797 scopus 로고    scopus 로고
    • Time series AR modeling with missing observations based on the polynomial transformation
    • J. Ding, L.L. Han, and X.M. Chen Time series AR modeling with missing observations based on the polynomial transformation Mathematical and Computer Modelling 51 5-6 2010 527 536
    • (2010) Mathematical and Computer Modelling , vol.51 , Issue.56 , pp. 527-536
    • Ding, J.1    Han, L.L.2    Chen, X.M.3
  • 31
    • 74149086591 scopus 로고    scopus 로고
    • Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model
    • Y.J. Liu, Y.S. Xiao, and X.L. Zhao Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model Applied Mathematics and Computation 215 4 2009 1477 1483
    • (2009) Applied Mathematics and Computation , vol.215 , Issue.4 , pp. 1477-1483
    • Liu, Y.J.1    Xiao, Y.S.2    Zhao, X.L.3
  • 32
    • 77950187988 scopus 로고    scopus 로고
    • Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems
    • Y.J. Liu, J. Sheng, and R.F. Ding Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems Computers & Mathematics with Applications 59 8 2010 2615 2627
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.8 , pp. 2615-2627
    • Liu, Y.J.1    Sheng, J.2    Ding, R.F.3
  • 33
    • 68749087043 scopus 로고    scopus 로고
    • The residual based interactive least squares algorithms and simulation studies
    • Y.S. Xiao, Y. Zhang, J. Ding, and J.Y. Dai The residual based interactive least squares algorithms and simulation studies Computers & Mathematics with Applications 58 6 2009 1190 1197
    • (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
  • 34
    • 77949486667 scopus 로고    scopus 로고
    • Gradient based and least-squares based iterative identification methods for OE and OEMA systems
    • F. Ding, P.X. Liu, and G. Liu Gradient based and least-squares based iterative identification methods for OE and OEMA systems Digital Signal Processing 20 3 2010 664 677
    • (2010) Digital Signal Processing , vol.20 , Issue.3 , pp. 664-677
    • Ding, F.1    Liu, P.X.2    Liu, G.3
  • 35
    • 84863116493 scopus 로고    scopus 로고
    • Least squares-based recursive and iterative estimation for output error moving average systems using data filtering
    • D.Q. Wang Least squares-based recursive and iterative estimation for output error moving average systems using data filtering IET Control Theory & Applications 5 14 2011 1648 1657
    • (2011) IET Control Theory & Applications , vol.5 , Issue.14 , pp. 1648-1657
    • Wang, D.Q.1
  • 36
    • 78951487217 scopus 로고    scopus 로고
    • Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems
    • Z.N. Zhang, F. Ding, and X.G. Liu Hierarchical gradient based iterative parameter estimation algorithm for multivariable output error moving average systems Computers & Mathematics with Applications 61 3 2011 672 682
    • (2011) Computers & Mathematics with Applications , vol.61 , Issue.3 , pp. 672-682
    • Zhang, Z.N.1    Ding, F.2    Liu, X.G.3
  • 37
    • 80455150117 scopus 로고    scopus 로고
    • Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data
    • J. Ding, and F. Ding Hierarchical least squares identification for linear SISO systems with dual-rate sampled-data IEEE Transactions on Automatic Control 56 11 2011 2677 2683
    • (2011) IEEE Transactions on Automatic Control , vol.56 , Issue.11 , pp. 2677-2683
    • Ding, J.1    Ding, F.2
  • 38
    • 80755182664 scopus 로고    scopus 로고
    • Bias compensation based parameter estimation for output error moving average systems
    • J. Ding, and F. Ding Bias compensation based parameter estimation for output error moving average systems International Journal of Adaptive Control and Signal Processing 25 12 2011 1100 1111
    • (2011) International Journal of Adaptive Control and Signal Processing , vol.25 , Issue.12 , pp. 1100-1111
    • Ding, J.1    Ding, F.2
  • 39
    • 84870248582 scopus 로고    scopus 로고
    • Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling
    • F. Ding Hierarchical multi-innovation stochastic gradient algorithm for Hammerstein nonlinear system modeling Applied Mathematical Modelling 37 4 2013 1694 1704
    • (2013) Applied Mathematical Modelling , vol.37 , Issue.4 , pp. 1694-1704
    • Ding, F.1
  • 40
    • 84865479577 scopus 로고    scopus 로고
    • Performance analysis of the auxiliary model based least squares identification algorithm for one-step state delay systems
    • F. Ding, and Y. Gu Performance analysis of the auxiliary model based least squares identification algorithm for one-step state delay systems International Journal of Computer Mathematics 89 15 2012 2019 2028
    • (2012) International Journal of Computer Mathematics , vol.89 , Issue.15 , pp. 2019-2028
    • Ding, F.1    Gu, Y.2
  • 41
    • 84867831752 scopus 로고    scopus 로고
    • Hierarchical least squares estimation algorithm for Hammerstein-Wiener systems
    • D.Q. Wang, and F. Ding Hierarchical least squares estimation algorithm for Hammerstein-Wiener systems IEEE Signal Processing Letters 19 12 2012 825 828
    • (2012) IEEE Signal Processing Letters , vol.19 , Issue.12 , pp. 825-828
    • Wang, D.Q.1    Ding, F.2
  • 43
    • 67349090936 scopus 로고    scopus 로고
    • Multi-innovation stochastic gradient algorithms for multi-input multi-output systems
    • L.L. Han, and F. Ding Multi-innovation stochastic gradient algorithms for multi-input multi-output systems Digital Signal Processing 19 4 2009 545 554
    • (2009) Digital Signal Processing , vol.19 , Issue.4 , pp. 545-554
    • Han, L.L.1    Ding, F.2
  • 45
    • 77954564106 scopus 로고    scopus 로고
    • Multi-innovation extended stochastic gradient algorithm and its performance analysis
    • Y.J. Liu, and L. Yu Multi-innovation extended stochastic gradient algorithm and its performance analysis Circuits Systems and Signal Processing 29 4 2010 649 667
    • (2010) Circuits Systems and Signal Processing , vol.29 , Issue.4 , pp. 649-667
    • Liu, Y.J.1    Yu, L.2
  • 46
    • 79551488650 scopus 로고    scopus 로고
    • Model order determination using the Hankel matrix of impulse responses
    • H.H. Yin, and Z.F. Zhu Model order determination using the Hankel matrix of impulse responses Applied Mathematics Letters 24 5 2011 797 802
    • (2011) Applied Mathematics Letters , vol.24 , Issue.5 , pp. 797-802
    • Yin, H.H.1    Zhu, Z.F.2


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