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Volumn 2, Issue , 2004, Pages 1623-1628

What are singular values of nonlinear operators?

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARAMETER ESTIMATION; PROBLEM SOLVING; SPECTRUM ANALYSIS; VECTORS;

EID: 14344249495     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1430277     Document Type: Conference Paper
Times cited : (10)

References (13)
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  • 2
    • 84972541095 scopus 로고
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  • 3
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    • Eigenvalues and eigenvectors of nonlinear operators and applications
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    • Jingxian, S.1    Bendong, L.2
  • 5
    • 0027879547 scopus 로고
    • On the early history of the singular value decomposition
    • G. W. Stewart, "On the early history of the singular value decomposition," SIAM Review, vol. 35, no. 4, pp. 551-566, 1993.
    • (1993) SIAM Review , vol.35 , Issue.4 , pp. 551-566
    • Stewart, G.W.1
  • 6
    • 0003018087 scopus 로고
    • Nonlinear compact mappings and their adjoints
    • J. Batt, "Nonlinear compact mappings and their adjoints," Math. Ann., vol. 189, pp. 5-25, 1970.
    • (1970) Math. Ann. , vol.189 , pp. 5-25
    • Batt, J.1
  • 7
    • 0009956384 scopus 로고
    • Duals and propagators: A canonilcal formalism for nonlinear equations
    • D. G. Cacuci, R. B. Perez, and V. Protopopescu, "Duals and propagators: A canonilcal formalism for nonlinear equations," J. Math. Phys., vol. 29, no. 2, pp. 353-361, 1988.
    • (1988) J. Math. Phys. , vol.29 , Issue.2 , pp. 353-361
    • Cacuci, D.G.1    Perez, R.B.2    Protopopescu, V.3
  • 8
    • 0036833128 scopus 로고    scopus 로고
    • Nonlinear Hubert adjoints: Properties and applications to Hankel singular value analysis
    • J. M. A. Scherpen and W. S. Gray, "Nonlinear Hubert adjoints: Properties and applications to Hankel singular value analysis," Nonlinear Analysis: Theory, Methods and Applications, vol. 51, no. 5, pp. 883-901, 2002.
    • (2002) Nonlinear Analysis: Theory, Methods and Applications , vol.51 , Issue.5 , pp. 883-901
    • Scherpen, J.M.A.1    Gray, W.S.2
  • 9
    • 0036779202 scopus 로고    scopus 로고
    • Hamiltonian realizations of nonlinear adjoint operators
    • K. Fujimoto, J. M. A. Scherpen, and W. S. Gray, "Hamiltonian realizations of nonlinear adjoint operators," Automatica, vol. 38, no. 10, pp. 1769-1775, 2002.
    • (2002) Automatica , vol.38 , Issue.10 , pp. 1769-1775
    • Fujimoto, K.1    Scherpen, J.M.A.2    Gray, W.S.3
  • 10
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    • Eigenstructure of nonlinear Hankel operators
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    • K. Fujimoto and J. M. A. Scherpen, "Eigenstructure of nonlinear Hankel operators," in Nonlinear Control in the Year 2000, ser. Lecture Notes on Control and Information Science, A. Isidori, F. Lamnabhi-Lagamgue, and W. Respondek, Eds. Paris: Springer-Verlag, 2000, vol. 258, pp. 385-398.
    • (2000) Nonlinear Control in the Year 2000 , vol.258 , pp. 385-398
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  • 11
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  • 12
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    • in Japanese
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