Asymptotic stability of completely retarded time-varying linear systems

Author

Deng Deiqi ; Lin Yongqing ; Zhaoshu, Feng

Author_Institution

Dept. of Autom. Control Eng., South China Univ. of Technol., Guangzhou, China

Volume

5

fYear

1998

fDate

21-26 Jun 1998

Firstpage

3224

Abstract

Asymptotic stability of completely retarded time-invariant linear systems is investigated with the Lyapunov functional method. Some delay inequalities are first established as lemmas then a new type of stability theorem is established for general retarded functional differential equations and a sufficient criterion for the asymptotic stability of completely retarded time-varying linear systems is obtained. Some corollaries on the asymptotic stability of zero solutions of completely retarded time-invariant linear systems are then given in algebraic form

Keywords

Lyapunov methods; asymptotic stability; delay systems; differential equations; functional equations; linear systems; stability criteria; time-varying systems; Lyapunov functional method; asymptotic stability; completely retarded time-invariant linear systems; completely retarded time-varying linear systems; delay inequalities; general retarded functional differential equations; zero solutions; Asymptotic stability; Delay; Large-scale systems; Linear systems; Stability criteria; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.688458

Filename

688458