N&S conditions of exponential stability for retarded dynamic systems and some applications

Author

Xu, Bugong

Author_Institution

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

Volume

3

fYear

1998

fDate

21-26 Jun 1998

Firstpage

1953

Abstract

The necessary and sufficient conditions of generalized exponential stability for general retarded dynamic systems are established. Based on the established necessary and sufficient conditions, the exponential decay estimates on the transient responses for the systems are presented. All of the results are derived by using Lyapunov function methods. Some stability and stabilization results with respect to time-varying/time-invariant decay degree for some classes of retarded dynamic systems are also presented as the applications of the established conditions. It is revealed that the established estimates can be less conservative than those obtained by only using the sufficient stability conditions in the literature

Keywords

Lyapunov methods; asymptotic stability; delay systems; transient response; Lyapunov function methods; exponential decay estimates; exponential stability; necessary and sufficient conditions; retarded dynamic systems; time-invariant decay degree; time-varying decay degree; transient responses; Convergence; Differential equations; Erbium; Lyapunov method; Stability analysis; Sufficient conditions; Time domain analysis; Topology; Vectors;

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.1998.707363

Filename

707363