Title :
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
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;
Conference_Titel :
Control and Automation (ICCA), 2010 8th IEEE International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4244-5195-1
Electronic_ISBN :
1948-3449
DOI :
10.1109/ICCA.2010.5524451
