Existence and stability of equilibria of the continuous-time Hopfield neural network
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摘要
The qualitative properties of the continuous-time Hopfield neural network are investigated. By using the Cauchy existence theorem of ordinary differential equations, a set of new and simple sufficient conditions guaranteeing the existence and uniqueness of equilibrium is derived. Furthermore, global and asymptotical stability conditions are established by means of Lyapunov method.
论文关键词：Hopfield neural network,Existence and uniqueness of equilibrium,Global and asymptotical stability
论文评审过程：Received 4 June 2003, Revised 20 November 2003, Available online 20 February 2004.
论文官网地址：https://doi.org/10.1016/j.cam.2003.11.014
