多比例时滞Hopfield神经网络的全局渐近稳定性及仿真

Global Asymptotic Stability and Simulation of Hopfield Neural Networks with Multi-Proportional Delays

针对具有多比例时滞Hopfield神经网络,利用Barbalat引理和2ab≤a2+b2,构造合适的Lyapunov泛函,得到该Hopfield神经网络全局渐近稳定性的一个充分条件.最后根据数值算例及仿真结果验证结论的有效性.

For Hopfield neural networks with multi-proportional delays.This paper,by constructing a suitable Lyapunov functional,use 2ab≤a2+b2 and Barbalat lemma,the novel sufficient conditions guaranteeing the global asymptotic stability of Hopfield neural networks are given.Finally,numerical examples and simulations are given to illustrate the effectiveness of the obtained result.