Global exponential stability and existence of periodic solutions of CNNs with delays

被引:45
作者
Dong, MF [1 ]
机构
[1] SE Univ, Dept Math Appl, Nanjing 210096, Peoples R China
基金
中国国家自然科学基金;
关键词
cellular neural networks; delay; global exponential stability; periodic solution; Lyapunov functional; inequality;
D O I
10.1016/S0375-9601(02)00706-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, we establish general sufficient conditions for global exponential stability and existence of periodic solutions of a class of cellular neural networks (CNNs) with delays. The key to proving the sufficient conditions is the construction of a new Lyapunov functional. An elementary inequality, which may be of independent interest, has been employed in the proof. Checking the sufficient conditions is often reduced to checking some algebraic relations among certain set of parameter. Our sufficient conditions recover the known results in literature as special cases. Finally, we give two examples to illustrate the usage of our main results. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:49 / 57
页数:9
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