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Global asymptotic stability of fuzzy cellular neural networks with time-varying delays |
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| Authors: | Qianhong Zhang Riguang Xiang |
| Affiliation: | aSchool of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan 410083, PR China bBasic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, PR China cSchool of Information Science and Computing Technology, Changsha University of Science and Technology, Changsha, Hunan 410000, PR China |
| Abstract: | In this Letter fuzzy cellular neural networks with time-varying delays are studied. Sufficient conditions for the existence, uniqueness and global asymptotic stability of equilibrium point are established by using the theory of topological degree and applying the properties of nonsingular M-matrix. The activation functions are not required to be differentiable, bounded or monotone nondecreasing. The results of this Letter are new and they complement previously known results. |
| Keywords: | Fuzzy cellular neural networks Global asymptotic stability Topological degree theory Lyapunov functional Equilibrium point |
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