Novel criteria for global exponential stability and periodic solutions of delayed Hopfield neural ne

• 作 者: 高潮
• 机 构: Department of Automatic Engineering, Foshan Science &. Technology University, Foshan 518000, P.R. Ch
• 出 处: Journal of Chongqing University
• 发表日期: 2003年01期
• 关键词: exponential globally Poincare exactly algebraic hence inequality integer refined

The global exponentially stability and the existence of periodic solutions of a class of Hopfield neural networks with time delays are investigated. By constructing a novel Lyapunov function, new criteria are provided to guarantee the global exponentially stability of such systems. For the delayed Hopfield neural networks with time-varying external inputs, new criteria are also acquired for the existence and exponentially stability of periodic solutions. The results are generalizations and improvements of some recent achievements reported in the literature on networks with time delays.

The global exponentially stability and the existence of periodic solutions of a class of Hopfield neural networks with time delays are investigated. By constructing a novel Lyapunov function, new criteria are provided to guarantee the global exponentially stability of such systems. For the delayed Hopfield neural networks with time-varying external inputs, new criteria are also acquired for the existence and exponentially stability of periodic solutions. The results are generalizations and improvements of some recent achievements reported in the literature on networks with time delays.