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Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument

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  • Xiaoai Li

Abstract

By using the concept of differential equations with piecewise constant argument of generalized type, a model of stochastic cellular neural networks with piecewise constant argument is developed. Sufficient conditions are obtained for the existence and uniqueness of the equilibrium point for the addressed neural networks. th moment exponential stability is investigated by means of Lyapunov functional, stochastic analysis, and inequality technique. The results in this paper improve and generalize some of the previous ones. An example with numerical simulations is given to illustrate our results.

Suggested Citation

  • Xiaoai Li, 2014. "Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, March.
    • Handle: RePEc:hin:jnljam:145061
    DOI: 10.1155/2014/145061
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