Global exponential stability analysis for cellular neural networks with variable coefficients and delays

被引：0
作者：
Yonggui Kao
Cunchen Gao
机构：
[1] Ocean University of China,College of Information Science and Engineering
[2] Ocean University of China,Department of Mathematics
[3] zaozhuang University,Department of Mathematics
来源：
Neural Computing and Applications | 2008年 / 17卷
关键词：
Global exponential stability; Cellular neural networks; Variable coefficients; Delays; 46G05; 37F99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Some sufficient conditions for the global exponential stability of cellular neural networks with variable coefficients and time-varying delays are obtained by a method based on a delayed differential inequality. The method, which does not make use of Lyapunov functionals, is simple and effective for the stability analysis of cellular neural networks with variable coefficients and time-varying delays. Some previous results in the literature are shown to be special cases of our results.
引用
收藏
页码：291 / 295
页数：4
相关论文
共 39 条
[1]  
Clarke F(1982)Nonlinear oscillations and boundary-value problems for Hamiltonian systems Arch Rat Mech Anal 78 315-333
[2]  
Ekeland I(2003)Global exponential convergence analysis of delayed neural networks with time-varying delays Phys Lett A 318 537-544
[3]  
Zhang Q(2005)On global exponential stability of delayed cellular neural networks with time-varying delays Appl Math Comput 162 679-86
[4]  
Wei X(2005)Delay-dependent exponential stability of cellular neural networks with time-varying delays Chaos Solitons Fractals 23 1363-1369
[5]  
Xu J(1994)Stability in asymmetric Hopfield nets with transmission delays Physica D 76 344-358
[6]  
Zhang Q(1998)Global attractivity in delayed Hopfield neural networks models SIAM J Appl Math 58 1878-1890
[7]  
Wei X(2001)An exponential convergence estimate for analog neural networks with delay Phys Lett A 283 113-118
[8]  
Xu J(2000)On stability of nonlinear continuous-time neural networks with delays Neural Netw 13 1135-1143
[9]  
Zhang Q(2001)Global dynamics of Hopfield neural networks involving variable delays Comput Math Appl 42 39-45
[10]  
Wei X(2002)LMI-based approach for asymptotically stability analysis of delayed neural networks IEEE Trans Circ Syst I 49 1033-1039
1234