Analysis of global exponential stability and periodic solutions of FCNNs with constant delays and time-varying delays

被引：0

作者：

Zhang Q. ^{[1
,2
]}

Luo W. ^{[2
]}

Yang L. ^{[3
]}

机构：

[1] Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang

[2] Basic Science Department, Hunan Institute of Technology, Hengyang

[3] Department of Mathematics, Hunan City University, Yiyang

来源：

Journal of Applied Mathematics and Computing | 2011年 / 37卷 / 1-2期

关键词：

Fuzzy cellular neural network; Global exponential stability; Lyapunov functional; Periodic solution; Young inequality;

D O I：

10.1007/s12190-010-0444-1

中图分类号：

学科分类号：

摘要：

In this paper, we investigate a class of fuzzy cellular neural networks with constant delays and time-varying delays. By constructing suitable Lyapunov functional and employing Young inequality, we find sufficient conditions for the existence, uniqueness, global exponential stability of equilibrium, and the existence of periodic solutions of fuzzy cellular neural networks with time-varying delays. The results of this paper are new and they extend previously known results. © 2010 Korean Society for Computational and Applied Mathematics.

引用

页码：459 / 471

页数：12

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