Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (1): 42-53.

• Articles • Previous Articles     Next Articles

Exponential Stability for Stochastic Neural Networks with Multiple Delays: an LMI Approach

WANG Hong-Chu, HU Shi-Geng   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631
  • Received:2007-11-08 Revised:2009-05-31 Online:2010-01-01 Published:2010-01-01
  • Supported by:

    国家自然科学基金(10826095, 10801056)资助

Abstract:

This paper studies mean square exponential stability for a class of stochastic neural networks with multiple constant or time-varying delays. Based on the Lyapunov-Krasovskii stability theory, new stability criterion is derived in terms of the linear matrix inequalities (LMIs) for these networks.  Some examples are also presented as illustration.

Key words: Exponential stability, Linear matrix inequality (LMI), Multiple delays, Lyapunov-Krasovskii functional, Stochastic neural networks

CLC Number: 

  • 60H10
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