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Journal of Applied Mathematics
Volume 2014, Article ID 145061, 11 pages
Research Article

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

School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China

Received 27 October 2013; Accepted 6 January 2014; Published 30 March 2014

Academic Editor: Sabri Arik

Copyright © 2014 Xiaoai Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.