GLOBAL ASYMPTOTIC STABILITY CONDITIONS OF DELAYED NEURAL NETWORKS  

作　　者：周冬明 曹进德 张立明 

机构地区：[1]Department of Electronic Engineering, Fudan University, Shanghai 200433, P.R.China Department of Electronic Engineering, Yunnan University,Kunming 650091, P.R.China [2]Department of Applied Mathematics, Southeast University, Nanjing 210096, P.R.China [3]Department of Electronic Engineering, Fudan University, Shanghai 200433, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第3期372-380,共9页应用数学和力学（英文版）

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina (No .60 1 71 0 3 6)

摘　　要：Utilizing the Liapunov functional method and combining the inequality of matrices technique to analyze the existence of a unique equilibrium point and the global asymptotic stability for delayed cellular neural networks (DCNNs), a new sufficient criterion ensuring the global stability of DCNNs is obtained. Our criteria provide some parameters to appropriately compensate for the tradeoff between the matrix definite condition on feedback matrix and delayed feedback matrix. The criteria can easily be used to design and verify globally stable networks. Furthermore,the condition presented here is independent of the delay parameter and is less restrictive than that given in the references.Utilizing the Liapunov functional method and combining the inequality of matrices technique to analyze the existence of a unique equilibrium point and the global asymptotic stability for delayed cellular neural networks (DCNNs), a new sufficient criterion ensuring the global stability of DCNNs is obtained. Our criteria provide some parameters to appropriately compensate for the tradeoff between the matrix definite condition on feedback matrix and delayed feedback matrix. The criteria can easily be used to design and verify globally stable networks. Furthermore,the condition presented here is independent of the delay parameter and is less restrictive than that given in the references.

关 键 词：cellular neural network global stability inequality of matrix DELAY 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程] O175[自动化与计算机技术—控制科学与工程]