Title :
Asymptotic stability of impulsive stochastic functional differential systems via Razumikhin techniques
Author :
Cheng, Pei ; Deng, Fei-qi ; Qiu, Shen-shan
Author_Institution :
Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China
Abstract :
In this paper, we extend the Razumikhin-type theory to impulsive stochastic functional differential systems. By using Lyapunov functions and Razumikhin techniques, criteria on pth moment asymptotic stability for impulsive stochastic functional differential systems is established. As an application, a class of impulsive stochastic delay systems is discussed. One illustrative example is provided to show the effectiveness of our results.
Keywords :
Lyapunov methods; stability; stochastic systems; type theory; Lyapunov functions; Razumikhin techniques; Razumikhin-type theory; asymptotic stability; impulsive stochastic functional differential systems; Asymptotic stability; Cybernetics; Machine learning; Stochastic systems; Razumikhin theorems; Stochastic functional differential systems; asymptotic stability; impulsive;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212721
