Behavior of impulsive fuzzy cellular neural networks with distributed delays
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Date
2007-04-05
Authors
Li, Kelin
Li, Zuoan
Song, Qiankun
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Fuzzy cellular neural networks, Impulses, Distributed delays, Global exponential stability, Periodic oscillatory solution
Citation
Li, K., Li, Z., & Song, Q. (2007). Behavior of impulsive fuzzy cellular neural networks with distributed delays. <i>Electronic Journal of Differential Equations, 2007</i>(50), pp. 1-16.
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Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.