带有周期系数和时滞的细胞神经网络模型的周期解的存在性和全局指数稳定性  

Existence and Global Exponential Stability of Periodic Solution of Cellular Neural Networks with Periodic Coefficients and Delays

作　　者：刘艳青[1,2] 唐万生[1] 

机构地区：[1]天津大学系统工程研究所 [2]天津大学数学系,天津300072

出　　处：《工程数学学报》2007年第6期995-1006,共12页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(70471049).

摘　　要：本文运用非奇异M矩阵的性质,不等式分析法和建立在重合度基础上的连续性定理,得到了带有周期系数和周期时滞的细胞神经网络的周期解的存在性以及全局指数稳定性的新判据。并且给出了指数收敛率的估计。By using the properties of nonsingular M-matrix, inequity analysis and a continuation theorem based on the coincidence degree, derived in this paper are some new sufficient conditions ensuring existence and global exponential stability of periodic solution of cellular neural networks with periodic coefficients and delays, and at the same time, the exponentially convergent rates are also estimated.

关 键 词：细胞神经网络 周期解 解的存在性 全局指数稳定性 

分 类 号：O175.13[理学—数学] TP183[理学—基础数学]