具有动态突触的Hopfield时滞神经网络的稳定性分析

Stability Analysis of Equilibrium for Hopfield Neural Networks with Dynamic Synapses and Time Delay

在研究Hopfield神经网络时,通常把连接权视为常数;但实际上神经元间的突触是随时间变化的。文章运用拓扑度理论和Liapunov泛函方法,研究具有动态突触的Hopfield时滞神经网络平衡点的存在性和全局吸引性,得到了平衡点存在的简单的代数判据。

Hopfield neural networks are usually discussed under the assumption that all the synapses are constants. However, the synapses are changed with time.By using the theory of topological degree and Liapunov functional methods, this paper discusses the existence and global asymptotic stability of the equilibrium for Hopfield neural networks with dynamic synapses and time delay.