Robust stability of the time varying singular distributed parameter system in hilbert space

Author

Ge Zhaoqiang

Author_Institution

Dept. of Appl. Math., Xi´an Jiaotong Univ., Xi´an, China

fYear

2014

fDate

28-30 July 2014

Firstpage

2630

Lastpage

2634

Abstract

Perturbation and robust exponential stability of the time varying singular distributed parameter system are discussed via functional analysis and operator theory in Hilbert space. The perturbation principle of generalized evolution operators and the sufficient condition concerning the robust exponential stability of the time varying singular distributed parameter system are obtained, in which the exponential stability for the time varying singular distributed parameter system is not destroyed, if we perturb the equation by linear operator. The perturbation are assumed to have unbounded structure and the smallest perturbation which destroys exponential stability is determined.

Keywords

Hilbert spaces; asymptotic stability; distributed parameter systems; functional analysis; perturbation techniques; robust control; time-varying systems; Hilbert space; functional analysis; generalized evolution operators; linear operator; operator theory; perturbation principle; robust exponential stability; sufficient condition; time varying singular distributed parameter system; unbounded structure; Control theory; Distributed parameter systems; Hilbert space; Robust stability; Robustness; Time-varying systems; perturbation; robust exponential stability; time varying singular distributed parameter system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6897051

Filename

6897051