Lyapunov stability and practical stability of nonlinear delay stochastic systems: a unified approach

Author

Feng, Zhao-Shu

Author_Institution

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

fYear

1993

fDate

15-17 Dec 1993

Firstpage

865

Abstract

In this paper, both Lyapunov stability in the pth mean and practical stability in the pth mean are defined for the delay stochastic systems. By applying the Lyapunov-like functions and the theory of differential inequalities, comparison principles are set up for the nonlinear delay stochastic systems. Based on these comparison principles, a unified approach is developed to deal with both the Lyapunov stability and the practical stability. Criteria are established for various types of Lyapunov stability and practical stability of the delay stochastic systems. By these criteria, the stability properties (Lyapunov and practical) of the delay stochastic systems can be obtained by testing the corresponding stability properties of the auxiliary delay deterministic systems

Keywords

Lyapunov methods; delays; nonlinear control systems; stability criteria; stochastic systems; Lyapunov stability; deterministic systems; differential inequalities; nonlinear delay stochastic systems; practical stability; Automation; Biology; Delay systems; Differential equations; History; Lyapunov method; Nonlinear dynamical systems; Stability criteria; Stochastic systems; System testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-1298-8

Type

conf

DOI

10.1109/CDC.1993.325023

Filename

325023