1. Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks
- Author
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Li, Chunxiang, Shi, Junping, and Sun, Jitao
- Subjects
- *
STOCHASTIC systems , *DELAY differential equations , *ARTIFICIAL neural networks , *IMPULSIVE differential equations , *TIME delay systems , *STABILITY (Mechanics) - Abstract
Abstract: This paper is concerned with the stability of -dimensional stochastic differential delay systems with nonlinear impulsive effects. First, the equivalent relation between the solution of the -dimensional stochastic differential delay system with nonlinear impulsive effects and that of a corresponding -dimensional stochastic differential delay system without impulsive effects is established. Then, some stability criteria for the -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. [Copyright &y& Elsevier]
- Published
- 2011
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