脉冲Hopfield 神经网络的鲁棒H-稳定性及其脉冲控制器设计

摘要

This paper studies the robust H-stability (e.g. in the sense of Hopfield) for Hopfield neural networks (HNN for short) with impulsive effects. By employing the method of Lyapunov functions and Riccati inequality, some sufficient conditions for robust H-stability and robustly asymptotical H-stability are established. On the basis of these results, the author also designs some impulsive controllers to stabilize HNN. Finally, one illustrative example is given.%研究了脉冲Hopfield 神经网络在Hopfield 意义下的鲁棒稳定性.通过应用Lyapunov 函数法和Riccati 不等式方法,得到了脉冲Hopfield神经网络鲁棒稳定和鲁棒渐近稳定的充分条件,在此基础上,设计出了易于实施的脉冲控制器来镇定Hopfield神经网络.最后,给出了例子.