Electron. J. Diff. Eqns., Vol. 2007(2007), No. 50, pp. 1-16.

Behavior of impulsive fuzzy cellular neural networks with distributed delays

Kelin Li, Zuoan Li, Qiankun Song

Abstract:
In this paper, we investigate a generalized model of fuzzy cellular neural networks with distributed delays and impulses. By employing the theory of topological degree, M-matrix and Lypunov functional, we find sufficient conditions for the existence, uniqueness and global exponential stability of both the equilibrium point and the periodic solution. Two examples are given to illustrate the results obtained here.

Submitted October 2, 2006. Published April 5, 2007.
Math Subject Classifications: 92B20, 34K20, 34K13.
Key Words: Fuzzy cellular neural networks; impulses; distributed delays; global exponential stability; periodic oscillatory solution.

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Kelin Li
Department of Mathematics
Sichuan University of Science and Engineering
Sichuan 643000, China
email: lkl@suse.edu.cn
Zuoan Li
Department of Mathematics
Sichuan University of Science and Engineering
Sichuan 643000, China
email: lizuoan@suse.edu.cn
Qiankun Song
Department of Mathematics
Chongqing Jiaotong University
Chongqing, 400074, China
email: qiankunsong@163.com

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