机构地区: 广西师范学院数学科学学院
出 处: 《哈尔滨理工大学学报》 2010年第2期63-66,共4页
摘 要: 利用拓扑度理论和Lyapunov泛函方法研究了S-分布时滞反应扩散Hopfield神经网络平衡点的存在性及全局鲁棒指数稳定性.例子表明所得结果易于验证,具有广泛的适用性. This paper investigates the global exponential robust stability of reaction-diffusion Hopfield neural networks with S-type distributed delays.By means of the topological degree theory and Lyapunov function method,easily verifiable sufficient conditions to guarantee the exponential robust stability of an equilibrium solution are obtained.The results are new and helpful for designs and applications of neural networks.