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Mean square stability analysis of impulsive stochastic differential equations with delays. (English) Zbl 1142.93035

Summary: Based on the Lyapunov-Krasovskii functional method and stochastic analysis theory, we obtain some new criteria ensuring mean square stability of the trivial solution of a class of impulsive stochastic differential equations with delays. As an application, a class of stochastic impulsive neural networks with delays has been discussed. An illustrative example has been provided to show the effectiveness of our results.

MSC:

93E15 Stochastic stability in control theory
93C15 Control/observation systems governed by ordinary differential equations
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
92B20 Neural networks for/in biological studies, artificial life and related topics
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