Title :
Exponential p-stability of impulsive stochastic differential equations with mixed delays
Author :
Qin Fajin ; Yao Xiaojie
Author_Institution :
Dept. of Math. & Comput. Sci., Liuzhou Teachers Coll., Liuzhou, China
Abstract :
In this paper, we consider a class of impulsive stochastic differential equations with mixed delays. By establishing an L - operator differential inequality and using the properties of M -cone and stochastic analysis technique, we obtain the exponential p - stability of the impulsive stochastic functional differential equations. The results of this paper are new and they extend and improve previously known results. An example is given to show the effectiveness of our results.
Keywords :
asymptotic stability; delays; differential equations; numerical stability; stochastic processes; L-operator differential inequality; M-cone technique; exponential p-stability; impulsive stochastic differential equation; mixed delays; stochastic analysis technique; Convergence; Delay; Differential equations; Linear matrix inequalities; Stability criteria; Transmission line matrix methods; Exponential p -stability; Impulsive Stochastic Differential Equations; L -operator Differential Inequality;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768