Hankel singular values and vectors of a class of infinite dimensional systems for control and approximation problems

Author

Ohta, Yoshito

Author_Institution

Dept. of Comput.-Controlled Mech. Syst., Osaka Univ., Japan

Volume

3

fYear

1997

fDate

10-12 Dec 1997

Firstpage

2765

Abstract

This paper considers the problem of computing singular values and singular vectors of Hankel operators of a class of infinite dimensional systems. The class consists of plants that are a product of a general inner function and a rational function. It is shown that there is a transcendental equation characterizing the singular values and that the singular vectors are calculated from the null vector of a matrix. This extends the results in the literature to include the approximation problem having a general inner part

Keywords

H^∞ control; Hankel matrices; controllability; function approximation; multidimensional systems; singular value decomposition; vectors; H_∞ control; Hankel operators; controllability; function approximation; infinite dimensional systems; inner function; matrix algebra; null vector; rational function; singular values; singular vectors; Approximation error; Approximation methods; Calculus; Control systems; Delay systems; Fasteners; Frequency domain analysis; Integral equations; Kernel; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657829

Filename

657829