Title :
Asymptotic stability of stochastic impulsive system via comparison approach
Author :
Gao, Jing-Guang ; Deng, Fei-qi ; Zhang, Cheng-ke ; Sun, You-fa
Author_Institution :
Coll. of Autom., South China Univ. of Technol., Guangzhou, China
Abstract :
This paper studies stability of solutions for a class of stochastic impulsive systems. The impulsive stochastic comparison theorem is established using stochastic differential inequalities. By using the comparison theorem, the comparison criterion of asymptotic stability of trivial solution of the systems is obtained based on vector Lyapunov-like function.
Keywords :
Lyapunov methods; asymptotic stability; differential equations; stochastic systems; Lyapunov-like function; asymptotic stability; comparison approach; stochastic differential inequalities; stochastic impulsive system; Asia; Asymptotic stability; Control systems; Differential equations; Indium tin oxide; Informatics; Lyapunov method; Robotics and automation; Stochastic processes; Stochastic systems; asymptotic stability; comparison approach; impulsive; stochastic systems;
Conference_Titel :
Informatics in Control, Automation and Robotics (CAR), 2010 2nd International Asia Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-5192-0
Electronic_ISBN :
1948-3414
DOI :
10.1109/CAR.2010.5456572