文献类型：期刊文献

英文题名：Global asymptotic stability for second-order neutral type Cohen-Grossberg neural networks with time delays

作者：Miao, Chunfang[1]; Ke, Yunquan[1]

机构：[1] Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang, China

年份：2012

卷号：13

起止页码：973

外文期刊名：WSEAS Transactions on Mathematics

收录：EI(收录号：20151600751214)、Scopus(收录号：2-s2.0-84927560179)

语种：英文

外文关键词：Asymptotic stability - Differential equations - Lyapunov functions - Stability - Time delay - Time varying networks

外文摘要：In this paper, the global asymptotic stability of second-order neutral type Cohen-Grossberg neural networks with time-varying delays are investigated. First, by choosing properly variable substitution the system is transformed to first-order differential equation. Second, some sufficient conditions which can ensure the existence and global asymptotic stability of equilibrium point for the system are obtained through using homeomorphism and the differential mean value theorem, constructing suitable Lyapunov functional and applying the positive matrix. Finally, two examples are given to illustrate the effectiveness of the results. ? 2014, World Scientific and Engineering Academy and Society. All rights reserved.