基于LMI技术的两个神经元的时滞混沌神经网络的耦合延迟同步研究(英文)

• 作 者: 李博 杨丹 张小洪 马丽涛
• 机 构: College of Mathematics and Physics Chongqing University,College of Software Engineering,Chongqing,Un
• 出 处: 自动化学报
• 发表日期: 2007年11期
• 关键词: 混沌神经网络 chaotic eigenvalue dynamical asymptotic inequality criterion interactive

In this paper,the chaotic lag synchronization of coupled time-delayed systems with two neurons is investigated. We analyze the asymptotic stability for the error dynamical sys- tem based on Lyapunov method and linear matrix inequality (LMI)technique.Some new sufficient conditions for determin- ing the lag synchronization between the coupling systems are derived.Above all,we skillfully shift our criterion which is ex- pressed in terms of LMI into the generalized eigenvalue mini- mization programming(GEVP)for the first time.The mini- mum of coupling strength is obtained successfully.A numerical experiment illustrates the effectiveness and advantage of our re- sults.

In this paper, the chaotic lag synchronization of coupled time-delayed systems with two neurons is investigated. We analyze the asymptotic stability for the error dynamical sys- tem based on Lyapunov method and linear matrix inequality (LMI) technique. determin- ing the lag synchronization between the coupling systems are derived. Abbove all, we skillfully shift our criterion which is ex- pressed in terms of LMI into the generalized eigenvalue mini- mization programming (GEVP) for the first time. The mini- mum of coupling strength is obtained successfully. A numerical experiment shows the effectiveness and advantage of our re- sults.