Exponential stability of impulsive CohenGrossberg neural networks with time-varying delays and reactiondiffusion terms
In this paper, we investigate a class of impulsive CohenGrossberg neural networks with time-varying delays and reactiondiffusion terms. By establishing a delay differential inequality with impulsive initial conditions and employing M-matrix theory, we find some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for impulsive CohenGrossberg neural networks with time-varying delays and reactiondiffusion terms. In particular, the estimate of the exponential convergence rate is also provided, which depends on the system parameters and delays. Two examples are given to illustrate the results obtained here.
impulses cohengrossberg neural networks delays reactiondiffusion global exponential stability