Title :
Hankel singular value functions from Schmidt pairs for nonlinear input-output systems
Author :
Gray, W. Steven ; Scherpen, Jacquelien M A
Author_Institution :
Dept. of Electr. & Comput. Eng., Old Dominion Univ., Norfolk, VA, USA
Abstract :
In this paper three results are presented in singular value analysis of Hankel operators for nonlinear input-output systems. First the notion of a Schmidt pair is introduced which makes it possible to describe a Hankel singular value function from a purely input-output point of view. If a state space realization is known to exist then a set of sufficient conditions is provided for the existence of a Schmidt pair. Finally, it is shown that in a certain coordinate frame it is possible to relate this new singular value function definition to the existing definition due to Scherpen (1993, 1995).
Keywords :
Hankel matrices; nonlinear control systems; singular value decomposition; Hankel operators; Hankel singular value functions; Schmidt pairs; nonlinear I/O systems; nonlinear input-output systems; singular value analysis; Ear; Nonlinear systems; Reduced order systems; Signal mapping; State-space methods; Sufficient conditions; Technological innovation;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1024477
