Comparison principle and stability of impulsive stochastic functional differential systems in terms of two measures

Author

Yao, Fengqi ; Deng, Feiqi

Author_Institution

Inst. of Syst. Eng., South China Univ. of Technol., Guangzhou, China

fYear

2010

fDate

9-11 June 2010

Firstpage

333

Lastpage

338

Abstract

This paper investigates the stability properties in terms of two measures for impulsive stochastic functional differential systems. A comparison principle for impulsive stochastic functional differential systems is established for the first time. Employing the comparison principle and theory of differential inequalities, sufficient conditions ensuring stability and asymptotical stability in terms of two measures are obtained. An example is given to illustrate our results.

Keywords

asymptotic stability; differential equations; functional equations; stochastic systems; asymptotical stability; comparison principle; differential inequalities; impulsive stochastic functional differential systems; stability properties; Asymptotic stability; Automatic control; Automation; Control systems; Control theory; Physics; Stability criteria; Stochastic processes; Stochastic systems; Sufficient conditions; Comparison principle; Impulsive functional differential systems; Stochastic systems; Uniformly asymptotical stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (ICCA), 2010 8th IEEE International Conference on

Conference_Location

Xiamen

ISSN

1948-3449

Print_ISBN

978-1-4244-5195-1

Electronic_ISBN

1948-3449

Type

conf

DOI

10.1109/ICCA.2010.5524451

Filename

5524451