Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:290

Article

Liu, ZG ; Liao, LS

关键词: neural networks;    topological degree;    periodic solution;    exponential stability;   

DOI  :  10.1016/j.jmaa.2003.09.052

来源: Elsevier

【 摘 要 】

By using the continuation theorem of Mawhin's coincidence degree theory and Gronwall's inequality, some new sufficient conditions are obtained ensuring existence and global exponential stability of periodic solution of cellular neural networks with periodic coefficients and delays. These results are helpful to design globally exponentially stable and oscillatory cellular neural networks. (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

Free