Discrete Dynamics in Nature and Society (Jan 2010)

Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays

  • Chuangxia Huang,
  • Lehua Huang,
  • Yigang He

DOI
https://doi.org/10.1155/2010/513218
Journal volume & issue
Vol. 2010

Abstract

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This paper addresses the issue of mean square exponential stability of stochastic Cohen-Grossberg neural networks (SCGNN), whose state variables are described by stochastic nonlinear integrodifferential equations. With the help of Lyapunov function, stochastic analysis technique, and inequality techniques, some novel sufficient conditions on mean square exponential stability for SCGNN are given. Furthermore, we also establish some sufficient conditions for checking exponential stability for Cohen-Grossberg neural networks with unbounded distributed delays.