Almost sure exponential stability of stochastic cellular neural networks with unbounded distributed delays

Authors:
Chuangxia Huang;Jinde Cao
Affiliations:
Department of Mathematics, Southeast University, Nanjing 210096, China and College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, Chin ...;Department of Mathematics, Southeast University, Nanjing 210096, China
Venue:
Neurocomputing
Year:
2009

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Abstract

In this paper, a cellular neural network whose state variables are governed by stochastic non-linear integro-differential equations is investigated. The considered delays are distributed continuously over unbounded intervals. By applying the Lyapunov functional method, the semimartingale convergence theorem, and some inequality technique, we obtain some sufficient criteria to check the almost sure exponential stability of the system, which generalizes and improves some earlier publications. Two examples are also given to demonstrate our results.