Globally Exponential Stability of Impulsive Neural Networks with Variable Delays

Jianfu Yang,Fengjian Yang,Ren Liu,Wei Li,Dongqing Wu,Chuanxiang Gao

Computer Science and Engineering, 2009. WCSE '09. Second International Workshop（2009）

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摘要

In this paper, a class of impulsive neural networks with time-varying delays is studied. Without assumption of global Lipschitz conditions on the activation functions, applying idea of vector Lyapunov function, combining Halanay differential inequality with delay, a sufficient condition for globally exponential stability of the equilibrium is obtained.

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关键词

halanay differential inequality,impulsive neural network,global lipschitz conditions,asymptotic stability,time-varying delays,time-varying delay,vector lyapunov function,impulsive neural networks,sufficient condition,exponential stability,activation functions,activation function,globally exponential stability,global lipschitz condition,variable delays,lyapunov methods,neural nets,vectors,neural network,cellular neural networks,artificial neural networks,lipschitz condition,lyapunov function

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