DocumentCode
337700
Title
Hankel singular values and vectors of a class of infinite dimensional systems with totally ordered inner functions
Author
Ohta, Yoshito
Author_Institution
Dept. of Comput.-Controlled Mech. Syst., Osaka Univ., Japan
Volume
1
fYear
1998
fDate
1998
Firstpage
610
Abstract
This paper considers the Hankel singular value problem for a class of infinite dimensional systems with totally ordered inner functions. An exact Hamiltonian determinant formula for singular values is derived if the inner functions generate a totally ordered set of finite cardinality. A formula for singular vectors is derived in state-space representation of finite-dimensional part of the system
Keywords
Hankel matrices; multidimensional systems; singular value decomposition; state-space methods; system theory; Hankel singular value problem; Hankel singular vectors; exact Hamiltonian determinant formula; finite cardinality; infinite dimensional systems; state-space representation; totally ordered inner functions; Control systems; Delay systems; Fourier transforms; Frequency; Integral equations; Kernel; MIMO; Optimal control; Polynomials; Robust control;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location
Tampa, FL
ISSN
0191-2216
Print_ISBN
0-7803-4394-8
Type
conf
DOI
10.1109/CDC.1998.760746
Filename
760746
Link To Document