Asymptotic Analysis Of Delay Neural Networks And Delay Impulsive System

In this paper, we study the stability of neural networks with discrete delays ordistributed delays and delay systems with impulsive effect.In Chapter 1, we analyze the exponential stability of neural networks with discretedelays or distributed delays by nonlinear measure which is a generalization of matrixmeasure, and present the sufficient conditions for exponential stability.In Chapter 2, by using spectral radius of nonnegative matrix, variance of parame-ter and inequality technique, we study the exponential stability of neural networks withdistributed delays.In Chapter 3, by establishing impulsive differential-integro inequality, we analyzethe exponential stability of impulsive dynamical system with distributed delays, andgive the sufficient conditions for it.In Chapter 4, by using Lyapunov-Krasovskii type functional, the quality of nega-tive definite matrix and Cauchy criterion, we study the neural networks with impulsiveeffect and time varying delays, and obtain the sufficient conditions for global exponen-tial stability and global asymptotic stability of such model, in terms of linear matrixinequality(LMI), which depend on the delays.