BAMCG模型周期解的全局指数稳定性

Global Exponential Stability of Periodic Solutions to BAM-type Cohen-Grossberg Models

利用李雅普诺夫泛函和不等式Z_(m+1)multiply from k=1 to m z_k^(q_k)≤1/r sum from k=1 to m q_kZ_k^r+1/r z_(m +1)~r研究了一类BAMCG模型的周期解,并获得了一些充分条件.

In this paper, some sufficient conditions are obtained to ensure the existence and the global exponential stability of the periodic solution to the BAM- type Cohen- Grossberg neural networks involving distributed delays, using and Liapunov functional method and inequalay zm＋ 1∏k=1^m zk^qk≤1/r ∑k=1^m qkzk^r＋1/rzm＋1^r ,here zm＋1〉0,zk〉0（k=1,2…,m）,qk〉0（k=1,2…,m）and m∑k=1^m qk=r-1,r〉1 .The results generalize the earlier publications.