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Volumn 54, Issue 2, 2005, Pages 135-144

Hankel singular value functions from Schmidt pairs for nonlinear input-output systems

Author keywords

Adjoint systems; Hankel operators; Nonlinear balanced realizations; Singular values functions

Indexed keywords

FUNCTIONS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; VECTORS;

EID: 10444285086     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2004.08.001     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 0041193142 scopus 로고    scopus 로고
    • Some properties of nonlinear adjoint operators
    • V. Burysková, Some properties of nonlinear adjoint operators, Rocky Mountain J. Math. 28 (1998) 41-59.
    • (1998) Rocky Mountain J. Math. , vol.28 , pp. 41-59
    • Burysková, V.1
  • 3
    • 0001667481 scopus 로고
    • Réalisation locale des systèmes non linéaires algèbres de Lie filtrées transitives et séries génératrices non commutatives
    • M. Fliess, Réalisation locale des systèmes non linéaires algèbres de Lie filtrées transitives et séries génératrices non commutatives, Invent. Math. 71 (1983) 521-537.
    • (1983) Invent. Math. , vol.71 , pp. 521-537
    • Fliess, M.1
  • 4
    • 0000332769 scopus 로고    scopus 로고
    • Eigenstructure of nonlinear Hankel operators
    • A. Isidori, F. Lamnabhi-Lagarrigue, W. Respondek (Eds.), Springer, London
    • K. Fujimoto, J.M.A. Scherpen, Eigenstructure of nonlinear Hankel operators, in: A. Isidori, F. Lamnabhi-Lagarrigue, W. Respondek (Eds.), Nonlinear Control in the Year 2000, Springer, London, 2001, pp. 385-397.
    • (2001) Nonlinear Control in the Year 2000 , pp. 385-397
    • Fujimoto, K.1    Scherpen, J.M.A.2
  • 6
    • 0036779202 scopus 로고    scopus 로고
    • Hamiltonian realizations of nonlinear adjoint operators
    • K. Fujimoto, J.M.A. Scherpen, W.S. Gray, Hamiltonian realizations of nonlinear adjoint operators, Automatica 38 (2002) 1769-1775.
    • (2002) Automatica , vol.38 , pp. 1769-1775
    • Fujimoto, K.1    Scherpen, J.M.A.2    Gray, W.S.3
  • 8
    • 0035940637 scopus 로고    scopus 로고
    • On the nonuniqueness of singular value functions and balanced nonlinear realizations
    • W.S. Gray, J.M.A. Scherpen, On the nonuniqueness of singular value functions and balanced nonlinear realizations, Systems Control Lett. 44 (2001) 219-232.
    • (2001) Systems Control Lett. , vol.44 , pp. 219-232
    • Gray, W.S.1    Scherpen, J.M.A.2
  • 9
    • 0034848275 scopus 로고    scopus 로고
    • Nonlinear Hilbert adjoints: Properties and applications to Hankel singular value analysis
    • Arlington, VA, USA
    • W.S. Gray, J.M.A. Scherpen, Nonlinear Hilbert adjoints: properties and applications to Hankel singular value analysis, in: Proceedings of 2001 American Control Conference, Arlington, VA, USA, 2001, pp. 3582-3587.
    • (2001) Proceedings of 2001 American Control Conference , pp. 3582-3587
    • Gray, W.S.1    Scherpen, J.M.A.2
  • 10
    • 0005556482 scopus 로고
    • Realization theory of bilinear systems
    • D.Q. Mayne, R.W. Brockelt (Eds.), D. Reidel, Dordrecht, The Netherlands
    • A. Isidori, A. Ruberti, Realization theory of bilinear systems, in: D.Q. Mayne, R.W. Brockelt (Eds.), Geometric Methods in System Theory, D. Reidel, Dordrecht, The Netherlands, 1973, pp. 83-130.
    • (1973) Geometric Methods in System Theory , pp. 83-130
    • Isidori, A.1    Ruberti, A.2
  • 13
    • 0027641967 scopus 로고
    • Balancing for nonlinear systems
    • J.M.A. Scherpen, Balancing for nonlinear systems, Systems Control Letters 21 (1993) 143-153.
    • (1993) Systems Control Letters , vol.21 , pp. 143-153
    • Scherpen, J.M.A.1
  • 14
    • 0033283815 scopus 로고    scopus 로고
    • On singular value functions and Hankel operators for nonlinear systems
    • San Diego, CA, USA
    • J.M.A. Scherpen, W.S. Gray, On singular value functions and Hankel operators for nonlinear systems, in: Proceedings of the 1999 American Control Conference, San Diego, CA, USA, 1999, pp. 2360-2364.
    • (1999) Proceedings of the 1999 American Control Conference , pp. 2360-2364
    • Scherpen, J.M.A.1    Gray, W.S.2
  • 15
    • 0034317867 scopus 로고    scopus 로고
    • Minimality and local state decompositions of a nonlinear state space realization using energy functions
    • J.M.A. Scherpen, W.S. Gray, Minimality and local state decompositions of a nonlinear state space realization using energy functions, IEEE Trans. Automat. Control AC-45 (2000) 2079-2086.
    • (2000) IEEE Trans. Automat. Control , vol.AC-45 , pp. 2079-2086
    • Scherpen, J.M.A.1    Gray, W.S.2
  • 16
    • 0036833128 scopus 로고    scopus 로고
    • Nonlinear Hilbert adjoints: Properties and applications to Hankel singular value analysis
    • J.M.A. Scherpen, W.S. Gray, Nonlinear Hilbert adjoints: properties and applications to Hankel singular value analysis, Nonlinear Anal. Theory, Methods Appl. 51 (2002) 883-901.
    • (2002) Nonlinear Anal. Theory, Methods Appl. , vol.51 , pp. 883-901
    • Scherpen, J.M.A.1    Gray, W.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.