Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840682 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 13 Pages |
This paper is concerned with the stability of nn-dimensional stochastic differential delay systems with nonlinear impulsive effects. First, the equivalent relation between the solution of the nn-dimensional stochastic differential delay system with nonlinear impulsive effects and that of a corresponding nn-dimensional stochastic differential delay system without impulsive effects is established. Then, some stability criteria for the nn-dimensional stochastic differential delay systems with nonlinear impulsive effects are obtained. Finally, the stability criteria are applied to uncertain impulsive stochastic neural networks with time-varying delay. The results show that, this convenient and efficient method will provide a new approach to study the stability of impulsive stochastic neural networks. Some examples are also discussed to illustrate the effectiveness of our theoretical results.