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