Abstrait

Global stability of impulsive hopfield neural networkswithmultiple delays

Yuanqiang Chen

In this paper, the global stability problem of discrete impulsive Hopfield neural networkswithmultiple delays is studied. Bymeans of the Lyapunov stability theory and discrete Halanay inequality technique, we develop sufficient conditions for the global asymptotical stability and global exponential stability for discrete impulsive Hopfield neural networks with multiple delays. Finally, a numerical example is presented to illustrate the efficiency of our results.