Stability of Stochastic Neutral Cellular Neural Networks

Authors:
Ling Chen;Hongyong Zhao
Affiliations:
Basic Department, Jinling Institute of Technology, Nanjing 210001, China and Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Venue:
ICIC '07 Proceedings of the 3rd International Conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence
Year:
2009

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Abstract

In this paper, we study a class of stochastic neutral cellular neural networks. By constructing a suitable Lyapunov functional and employing the nonnegative semi-martingale convergence theorem we give some sufficient conditions ensuring the almost sure exponential stability of the networks. The results obtained are helpful to design stability of networks when stochastic noise is taken into consideration. Finally, two examples are provided to show the correctness of our analysis.