Electron. J. Diff. Eqns., Vol. 2007(2007), No. 44, pp. 1-6.

Almost sure exponential stability of delayed cellular neural networks

Chuangxia Huang, Yigang He, Lihong Huang

Abstract:
The stability of stochastic delayed Cellular Neural Networks (DCNN) is investigated in this paper. Using suitable Lyapunov functional and the semimartingale convergence theorem, we obtain some sufficient conditions for checking the almost sure exponential stability of the DCNN.

Submitted February 27, 2007. Published March 15, 2007.
Math Subject Classifications: 34K50, 60H10.
Key Words: Stochastic; cellular neural networks; almost sure exponential stability; Lyapunov functional.

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Chuangxia Huang
College of Mathematics and Computing Science
Changsha University of Science and Technology
Changsha, Hunan 410076, China
College of Electrical and Information Engineering
Hunan University, Changsha, Hunan 410082, China
email: huangchuangxia@sina.com.cn
Yigang He
College of Electrical and Information Engineering
Hunan University, Changsha
Hunan 410082, China
email: yghe@hnu.cn
Lihong Huang
College of Mathematics and Econometrics
Hunan University, Changsha
Hunan 410082, China
email: lhhuang@hnu.cn

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