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
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;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946190
