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Volumn , Issue , 2006, Pages 3730-3735

Algebraically defined Gramians for nonlinear systems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONTROLLABILITY; MONTE CARLO METHODS; OBSERVABILITY; STATE SPACE METHODS;

EID: 39649091839     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.376840     Document Type: Conference Paper
Times cited : (18)

References (21)
  • 2
    • 0027242729 scopus 로고
    • Transient approximation of bilinear two-area interconnected power systems
    • S. A. Al-Baiyat, A. S. Farag, and M. Bettayeb, Transient approximation of bilinear two-area interconnected power systems, Electric Power Systems Research, 26 1993, pp. 11-19.
    • (1993) Electric Power Systems Research , vol.26 , pp. 11-19
    • Al-Baiyat, S.A.1    Farag, A.S.2    Bettayeb, M.3
  • 4
    • 11644309569 scopus 로고
    • Generalized nonlinear functional and operator splines in Fock spaces
    • W. Cheney, Ed, New York: Academic Press
    • R. J. P. de Figueiredo, Generalized nonlinear functional and operator splines in Fock spaces, in Approximation Theory III, W. Cheney, Ed., New York: Academic Press, 1980, pp. 937-944.
    • (1980) Approximation Theory III , pp. 937-944
    • de Figueiredo, R.J.P.1
  • 5
    • 0020809262 scopus 로고    scopus 로고
    • R. J. P. de Figueiredo, A generalized Fock space framework for nonlinear system and signal snalysis, IEEE Trans. Circuits and Systems 30, 1983, pp. 637-647 (correction: 31 1984, p. 236).
    • R. J. P. de Figueiredo, A generalized Fock space framework for nonlinear system and signal snalysis, IEEE Trans. Circuits and Systems 30, 1983, pp. 637-647 (correction: 31 1984, p. 236).
  • 7
    • 0002755062 scopus 로고    scopus 로고
    • Observability functions for linear and nonlinear systems
    • W. S. Gray and J. Mesko, Observability functions for linear and nonlinear systems, Systems & Control Letters, 38 1999, pp. 99-113.
    • (1999) Systems & Control Letters , vol.38 , pp. 99-113
    • Gray, W.S.1    Mesko, J.2
  • 8
    • 0035940637 scopus 로고    scopus 로고
    • Scherpen, On the nonuniqueness of singular value functions and balanced nonlinear realizations
    • W. S. Gray and J. M. A Scherpen, On the nonuniqueness of singular value functions and balanced nonlinear realizations, Systems & Control Letters, 44 2001, pp. 219-232.
    • (2001) Systems & Control Letters , vol.44 , pp. 219-232
    • Gray, W.S.1    Scherpen, J.M.A.2
  • 9
    • 10444285086 scopus 로고    scopus 로고
    • Hankel singular value functions from Schmidt pairs for nonlinear input-output systems
    • W. S. Gray and J. M. A. Scherpen, Hankel singular value functions from Schmidt pairs for nonlinear input-output systems, Systems & Control Letters, 54 2005, pp. 135-144.
    • (2005) Systems & Control Letters , vol.54 , pp. 135-144
    • Gray, W.S.1    Scherpen, J.M.A.2
  • 10
    • 0020918303 scopus 로고
    • Realization algorithms and approximation methods of bilinear systems
    • San Antonio, Texas
    • C. H. Hsu, U. B. Desai and C. A. Crawley, Realization algorithms and approximation methods of bilinear systems, Proc. 22nd IEEE Conf. on Decision and Control, San Antonio, Texas, 1983, pp. 83-788.
    • (1983) Proc. 22nd IEEE Conf. on Decision and Control , pp. 83-788
    • Hsu, C.H.1    Desai, U.B.2    Crawley, C.A.3
  • 11
    • 0000321992 scopus 로고
    • Explicit solutions of linear matrix equations
    • P. Lancaster, Explicit solutions of linear matrix equations, SIAM Review, 12 1970, pp. 544-566.
    • (1970) SIAM Review , vol.12 , pp. 544-566
    • Lancaster, P.1
  • 12
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems: Controllability, observability, and model reduction
    • B. C. Moore, Principal component analysis in linear systems: controllability, observability, and model reduction, IEEE Trans. Automatic Control, 26 1981, pp. 17-32.
    • (1981) IEEE Trans. Automatic Control , vol.26 , pp. 17-32
    • Moore, B.C.1
  • 15
    • 0027641967 scopus 로고
    • Balancing for nonlinear systems
    • J. M. A. Scherpen, Balancing for nonlinear systems, Systems & Control Letters, 21 1993, pp. 143-153.
    • (1993) Systems & Control Letters , vol.21 , pp. 143-153
    • Scherpen, J.M.A.1
  • 16
    • 0004279650 scopus 로고
    • Doctoral Dissertation, University of Twente, Enschede, The Netherlands
    • J. M. A. Scherpen, Balancing for Nonlinear Systems, Doctoral Dissertation, University of Twente, Enschede, The Netherlands, 1994.
    • (1994) Balancing for Nonlinear Systems
    • Scherpen, J.M.A.1
  • 17
    • 0034317867 scopus 로고    scopus 로고
    • Minimality and local state decompositions of a nonlinear state space realization using energy functions
    • J. M. A. Scherpen and W. S. Gray, Minimality and local state decompositions of a nonlinear state space realization using energy functions, IEEE Trans. Automatic Control, 45 2000, pp. 2079-2086.
    • (2000) IEEE Trans. Automatic Control , vol.45 , pp. 2079-2086
    • Scherpen, J.M.A.1    Gray, W.S.2
  • 18
    • 0036833128 scopus 로고    scopus 로고
    • Nonlinear Hilbert adjoints: Properties and applications to Hankel singular value analysis
    • J. M. A. Scherpen and W. S. Gray, Nonlinear Hilbert adjoints: properties and applications to Hankel singular value analysis, Nonlinear Analysis: Theory, Methods & Applications, 51 2002, pp. 883-901.
    • (2002) Nonlinear Analysis: Theory, Methods & Applications , vol.51 , pp. 883-901
    • Scherpen, J.M.A.1    Gray, W.S.2
  • 19
    • 0021558480 scopus 로고
    • Approximation and order reduction in nonlinear models using an RKHS approach
    • Princeton, New Jersey
    • E. I. Verriest, Approximation and order reduction in nonlinear models using an RKHS approach, Proc. 18th Conf. on Information Sciences and Systems, Princeton, New Jersey, 1984, pp. 197-201.
    • (1984) Proc. 18th Conf. on Information Sciences and Systems , pp. 197-201
    • Verriest, E.I.1
  • 20
    • 0030402776 scopus 로고    scopus 로고
    • The σ-reciprocal system for model reduction of k-power bilinear systems
    • Kobe, Japan
    • B. Xie and V.L. Syrmos, The σ-reciprocal system for model reduction of k-power bilinear systems, Proc. 35th IEEE Conf. on Decision and Control, Kobe, Japan, 1996, pp. 4294-4299.
    • (1996) Proc. 35th IEEE Conf. on Decision and Control , pp. 4294-4299
    • Xie, B.1    Syrmos, V.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.