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2014 Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument
Xiaoai Li
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/145061

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. pth 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.

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Xiaoai Li. "Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument." J. Appl. Math. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/145061

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010552
MathSciNet: MR3193616
Digital Object Identifier: 10.1155/2014/145061

Rights: Copyright © 2014 Hindawi

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