DocumentCode
1751616
Title
Nonlinear Hilbert adjoints: properties and applications to Hankel singular value analysis
Author
Gray, W. Steven ; Scherpen, Jacquelien M A
Author_Institution
Dept. of Electr. & Comput. Eng., Old Dominion Univ., Virginia, VA, USA
Volume
5
fYear
2001
fDate
2001
Firstpage
3582
Abstract
The notion of an adjoint operator for a nonlinear mapping has few interpretations in the literature. In this paper a nonlinear Hilbert adjoint operator is proposed. It is shown to unite several existing concepts and provides an essential tool for singular value analysis of nonlinear Hankel operators
Keywords
Hankel matrices; Hilbert spaces; controllability; nonlinear control systems; observability; singular value decomposition; state-space methods; Hankel singular value analysis; nonlinear Hankel operators; nonlinear Hilbert adjoint operator; nonlinear mapping; Application software; Hilbert space; State-space methods; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2001. Proceedings of the 2001
Conference_Location
Arlington, VA
ISSN
0743-1619
Print_ISBN
0-7803-6495-3
Type
conf
DOI
10.1109/ACC.2001.946190
Filename
946190
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