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Volumn 52, Issue 3, 1996, Pages 299-321

On nonparametric estimation of nonlinear dynamic systems by the Fourier series estimate

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ESTIMATION; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; OPTIMIZATION; REGRESSION ANALYSIS; SYSTEM THEORY;

EID: 0030219280     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-1684(96)00067-9     Document Type: Article
Times cited : (24)

References (49)
  • 3
    • 0019082388 scopus 로고
    • Identification of nonlinear systems - A survey
    • S.A. Billings, "Identification of nonlinear systems - A survey", Proc. IEE, Vol. 127, 1980, pp. D:277-285.
    • (1980) Proc. IEE , vol.127
    • Billings, S.A.1
  • 4
    • 0018469598 scopus 로고
    • Non-linear system identification using the Hammerstein model
    • S.A. Billings and S.Y. Fakhouri, "Non-linear system identification using the Hammerstein model", Internat. J. Syst. Sci, Vol. 10, 1979, pp. 567-578.
    • (1979) Internat. J. Syst. Sci , vol.10 , pp. 567-578
    • Billings, S.A.1    Fakhouri, S.Y.2
  • 5
    • 30244497183 scopus 로고
    • Conditions necessaires et suffisantes de convergence pour une classe d'estimateurs de la densite
    • J. Bleuez and D. Bosq, "Conditions necessaires et suffisantes de convergence pour une classe d'estimateurs de la densite", C. R. Acad. Sci. Paris, Vol. 282, 1976, pp. 636-666.
    • (1976) C. R. Acad. Sci. Paris , vol.282 , pp. 636-666
    • Bleuez, J.1    Bosq, D.2
  • 7
    • 0015143385 scopus 로고
    • A noniterative method for identification using Hammerstein system
    • F.H.I. Chang and R. Luus, "A noniterative method for identification using Hammerstein system", IEEE Trans. Automat. Control, Vol. AC-16, 1971, pp. 464-468.
    • (1971) IEEE Trans. Automat. Control , vol.AC-16 , pp. 464-468
    • Chang, F.H.I.1    Luus, R.2
  • 8
    • 0024125653 scopus 로고
    • Analysis and parameter estimation of nonlinear systems with hammerstein model using taylor series approach
    • H.Y. Chung and Y.Y. Sun, "Analysis and parameter estimation of nonlinear systems with Hammerstein model using Taylor series approach", IEEE Trans. Circuits Systems, Vol. CAS-35, 1988, pp. 1533-1544.
    • (1988) IEEE Trans. Circuits Systems , vol.CAS-35 , pp. 1533-1544
    • Chung, H.Y.1    Sun, Y.Y.2
  • 10
    • 0026437137 scopus 로고
    • Identification of complex-cell intensive nonlinearities in a cascade model of cat visual cortex
    • R.C. Emerson, M.J. Korenberg and M.C. Citron, "Identification of complex-cell intensive nonlinearities in a cascade model of cat visual cortex", Biological Cybernetics, Vol. 66, 1992, pp. 291-300.
    • (1992) Biological Cybernetics , vol.66 , pp. 291-300
    • Emerson, R.C.1    Korenberg, M.J.2    Citron, M.C.3
  • 11
    • 0026111055 scopus 로고
    • Use of hammerstein models in the identification of nonlinear systems
    • E. Eskinat, S.H. Johnson and W.L. Luyben, Use of Hammerstein models in the identification of nonlinear systems, Amer. Inst. Chem. Eng. J., Vol. 37, 1991, pp. 255-268.
    • (1991) Amer. Inst. Chem. Eng. J. , vol.37 , pp. 255-268
    • Eskinat, E.1    Johnson, S.H.2    Luyben, W.L.3
  • 13
    • 0029392425 scopus 로고
    • Nonlinear neuronal mode analysis of action potential encoding in the cockroach tactile spine neuron
    • A.S. French and V.Z. Marmarelis, "Nonlinear neuronal mode analysis of action potential encoding in the cockroach tactile spine neuron", Biological Cybernetics, Vol. 73, 1995, pp. 425-430.
    • (1995) Biological Cybernetics , vol.73 , pp. 425-430
    • French, A.S.1    Marmarelis, V.Z.2
  • 14
    • 0016634967 scopus 로고
    • An iterative method for identification of nonlinear systems using a Uryson model
    • P.G. Gallman, "An iterative method for identification of nonlinear systems using a Uryson model", IEEE Trans. Automat. Control, Vol. AC-20, 1975, pp. 771-775.
    • (1975) IEEE Trans. Automat. Control , vol.AC-20 , pp. 771-775
    • Gallman, P.G.1
  • 15
    • 0026915065 scopus 로고
    • Nonparametric identification of wiener systems
    • W. Greblicki, "Nonparametric identification of Wiener systems", IEEE Trans. Inform. Theory, Vol. IT-38, 1992, pp. 1487-1493.
    • (1992) IEEE Trans. Inform. Theory , vol.IT-38 , pp. 1487-1493
    • Greblicki, W.1
  • 16
    • 0018542203 scopus 로고
    • Non-parametric identification of a memoryless system with cascade structure
    • W. Greblicki and A. Krzyzak, "Non-parametric identification of a memoryless system with cascade structure", Internat. J. Syst. Science, Vol. 10, 1979, pp. 1301-1310.
    • (1979) Internat. J. Syst. Science , vol.10 , pp. 1301-1310
    • Greblicki, W.1    Krzyzak, A.2
  • 17
    • 51249178643 scopus 로고
    • Fourier and Hermite series estimates of regression functions
    • W. Greblicki and M. Pawlak, "Fourier and Hermite series estimates of regression functions", Ann. Inst. Statist. Math., Vol. 37, Part A, 1985, pp. 443-454.
    • (1985) Ann. Inst. Statist. Math. , vol.37 , Issue.PART A , pp. 443-454
    • Greblicki, W.1    Pawlak, M.2
  • 18
    • 0022440372 scopus 로고
    • Identification of discrete hammerstein systems using kernel regression estimates
    • W. Greblicki and M. Pawlak, "Identification of discrete Hammerstein systems using kernel regression estimates", IEEE Trans. Automat. Control, Vol. AC-31, 1986, pp. 74-77.
    • (1986) IEEE Trans. Automat. Control , vol.AC-31 , pp. 74-77
    • Greblicki, W.1    Pawlak, M.2
  • 20
    • 0025464263 scopus 로고
    • Structure identification of nonlinear dynamic systems - A survey on input/output approaches
    • R. Haber and H. Unbehauen, Structure identification of nonlinear dynamic systems - A survey on input/output approaches, Automatica, Vol. 26, 1990, pp. 651-677.
    • (1990) Automatica , vol.26 , pp. 651-677
    • Haber, R.1    Unbehauen, H.2
  • 22
    • 0023060976 scopus 로고
    • Identifiability of large-scale interconnected linear zero-memory systems
    • Z. Hasiewicz, Identifiability of large-scale interconnected linear zero-memory systems, Internat. J. Systems Sci., Vol. 4, 1987, pp. 649-664.
    • (1987) Internat. J. Systems Sci. , vol.4 , pp. 649-664
    • Hasiewicz, Z.1
  • 23
    • 0004155709 scopus 로고
    • D.C. Heath and Company, Lexington, MA
    • T.C. Hsia, System Identification., D.C. Heath and Company, Lexington, MA, 1977.
    • (1977) System Identification.
    • Hsia, T.C.1
  • 24
    • 0022960073 scopus 로고
    • The identification of nonlinear biological systems: Wiener and Hammerstein cascade models
    • I.W. Hunter and M.J. Korenberg, "The identification of nonlinear biological systems: Wiener and Hammerstein cascade models", Biological Cybernetics, Vol. 55, 1986, pp. 135-144.
    • (1986) Biological Cybernetics , vol.55 , pp. 135-144
    • Hunter, I.W.1    Korenberg, M.J.2
  • 25
    • 0022962525 scopus 로고
    • The identification of nonlinear biological systems: Lnl cascade models
    • M.J. Korenberg and I.W. Hunter, "The identification of nonlinear biological systems: LNL cascade models", Biological Cybernetics, Vol. 55, 1986, pp. 125-134.
    • (1986) Biological Cybernetics , vol.55 , pp. 125-134
    • Korenberg, M.J.1    Hunter, I.W.2
  • 26
    • 0000319005 scopus 로고
    • The estimation of probability densities and cumulatives by fourier series methods
    • R. Kronmal and M. Tarter, "The estimation of probability densities and cumulatives by Fourier series methods", J. Amer. Statist. Assoc., Vol. 63, 1968, pp. 925-952.
    • (1968) J. Amer. Statist. Assoc. , vol.63 , pp. 925-952
    • Kronmal, R.1    Tarter, M.2
  • 27
    • 0025234172 scopus 로고
    • On estimation of a class of nonlinear systems by the kernel regression estimate
    • A. Krzyzak, "On estimation of a class of nonlinear systems by the kernel regression estimate", IEEE Trans. Inform. Theory, Vol. IT-36, 1990, pp. 141-152.
    • (1990) IEEE Trans. Inform. Theory , vol.IT-36 , pp. 141-152
    • Krzyzak, A.1
  • 28
    • 0001235159 scopus 로고
    • Global convergence of the recursive kernel regression estimates with applications in classification and nonlinear system estimation
    • A. Krzyzak, "Global convergence of the recursive kernel regression estimates with applications in classification and nonlinear system estimation", IEEE Trans. Inform. Theory, Vol. IT-38, 1992, pp. 1323-1338.
    • (1992) IEEE Trans. Inform. Theory , vol.IT-38 , pp. 1323-1338
    • Krzyzak, A.1
  • 29
    • 38249003080 scopus 로고
    • Identification of nonlinear block-oriented systems by the recursive kernel regression estimate
    • A. Krzyzak, "Identification of nonlinear block-oriented systems by the recursive kernel regression estimate", J. Franklin Institute, Vol. 330, 1993, pp. 605-627.
    • (1993) J. Franklin Institute , vol.330 , pp. 605-627
    • Krzyzak, A.1
  • 30
    • 0000755820 scopus 로고
    • Identification of block oriented systems by nonparametric techniques
    • A. Krzyzak and M. Partyka, "Identification of block oriented systems by nonparametric techniques", Internat. J. Systems Sci., Vol. 24, 1993, pp. 1049-1066.
    • (1993) Internat. J. Systems Sci. , vol.24 , pp. 1049-1066
    • Krzyzak, A.1    Partyka, M.2
  • 31
    • 0021376039 scopus 로고
    • Discrete-time adaptive control of linear dynamic systems with a two-segment piecewise-linear asymmetric nonlinearity
    • M. Kung and B.F. Womack, "Discrete-time adaptive control of linear dynamic systems with a two-segment piecewise-linear asymmetric nonlinearity", IEEE Trans. Automat. Control, Vol. AC-29, 1984, pp. 170-172.
    • (1984) IEEE Trans. Automat. Control , vol.AC-29 , pp. 170-172
    • Kung, M.1    Womack, B.F.2
  • 32
    • 0022011215 scopus 로고
    • Input-output parametric models for non-linear systems. Part ii: Stochastic non-linear systems
    • I.J. Leontaritis and S. Billings, "Input-output parametric models for non-linear systems. Part II: stochastic non-linear systems", Internat. J. Control, Vol. 41, 1985, pp. 329-344.
    • (1985) Internat. J. Control , vol.41 , pp. 329-344
    • Leontaritis, I.J.1    Billings, S.2
  • 34
    • 0018845150 scopus 로고
    • Signal identification after noisy, nonlinear transformations
    • E. Masry and S. Cambanis, "Signal identification after noisy, nonlinear transformations", IEEE Trans. Inform. Theory, Vol. IT-26, 1980, pp. 50-58.
    • (1980) IEEE Trans. Inform. Theory , vol.IT-26 , pp. 50-58
    • Masry, E.1    Cambanis, S.2
  • 37
    • 82055201757 scopus 로고
    • An iterative method for the identification of nonlinear systems using the Hammerstein model
    • K.S. Narendra and P.O. Gallman, "An iterative method for the identification of nonlinear systems using the Hammerstein model", IEEE Trans. Automat. Control, Vol. AC-11, 1966, pp. 546-550.
    • (1966) IEEE Trans. Automat. Control , vol.AC-11 , pp. 546-550
    • Narendra, K.S.1    Gallman, P.O.2
  • 40
    • 0026156360 scopus 로고
    • Approximation theorems for discrete-time systems
    • I.W. Sandberg, "Approximation theorems for discrete-time systems", IEEE Trans. Circuits Systems, Vol. CAS-31, 1991, pp. 564-566.
    • (1991) IEEE Trans. Circuits Systems , vol.CAS-31 , pp. 564-566
    • Sandberg, I.W.1
  • 42
    • 0342269407 scopus 로고
    • Fourier optics in nonlinear image processing
    • H. Stark, ed., Academic Press, New York
    • A.A. Sawchuck and T.C. Strand, "Fourier optics in nonlinear image processing", in: H. Stark, ed., Applications of Optical Fourier Transforms, Academic Press, New York, 1982, pp. 371-429.
    • (1982) Applications of Optical Fourier Transforms , pp. 371-429
    • Sawchuck, A.A.1    Strand, T.C.2
  • 43
    • 0022010127 scopus 로고
    • Adaptive noise cancelation for a class of nonlinear, dynamic reference channels
    • J.C. Stapleton and S.C. Baas, "Adaptive noise cancelation for a class of nonlinear, dynamic reference channels", IEEE Trans. Circuits and Systems, Vol. CAS-32, 1985.
    • (1985) IEEE Trans. Circuits and Systems , vol.CAS-32
    • Stapleton, J.C.1    Baas, S.C.2
  • 45
    • 0003103778 scopus 로고
    • Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation
    • G. Wahba, "Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation", Ann. Statist., Vol. 3, 1975.
    • (1975) Ann. Statist. , vol.3
    • Wahba, G.1
  • 46
    • 0027015915 scopus 로고
    • A new algorithm for the identification of multiple input Wiener system
    • D.T. Westwick and R.E. Kearney, "A new algorithm for the identification of multiple input Wiener system", Biological Cybernetics, Vol. 68, 1992, pp. 75-85.
    • (1992) Biological Cybernetics , vol.68 , pp. 75-85
    • Westwick, D.T.1    Kearney, R.E.2
  • 48
    • 0027625657 scopus 로고
    • Recursive prediction error identification using the nonlinear wiener model
    • T. Wigren, Recursive prediction error identification using the nonlinear Wiener model, Automatica, Vol. 29, 1993, pp. 1011-1025.
    • (1993) Automatica , vol.29 , pp. 1011-1025
    • Wigren, T.1
  • 49
    • 84953751498 scopus 로고
    • Cambridge University Press, Cambridge
    • A. Zygmund, Trigonometric Series, Vol. I, Cambridge University Press, Cambridge, 1988.
    • (1988) Trigonometric Series , vol.1
    • Zygmund, A.1


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