Global exponential stability of impulsive cellular neural networks with time-varying and distributed delay

In this paper, a model of impulsive cellular neural networks with time-varying and distributed delays is investigated. By establishing an integro-differential inequality with impulsive initial conditions and employing the M-matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for impulsive cellular neural networks with time-varying and distributed delays are obtained. An example is given to show the effectiveness of the results obtained here.