%0 Journal Article
%T Chaotic Lag Synchronization of Coupled Time-delayed Neural Networks with Two Neurons Using LMI Approach
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
%A LI Bo
%A YANG Dan
%A ZHANG Xiao-Hong
%A MA Li-Tao
%A
李博
%A 杨丹
%A 张小洪
%A 马丽涛
%J 自动化学报
%D 2007
%I
%X 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.
%K Lag synchronization
%K chaos
%K delayed neural system
%K linear matrix inequality (LMI)
%K generalized eigenvalue minimization programming (GEVP)
Lag
%K synchronization
%K chaos
%K delayed
%K neural
%K system
%K linear
%K matrix
%K inequality
%K (LMI)
%K generalized
%K eigenvalue
%K minimization
%K programming
%K (GEVP)
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=FEE8DE6549DEF0A3908C41B3F08EDA6D&yid=A732AF04DDA03BB3&vid=27746BCEEE58E9DC&iid=708DD6B15D2464E8&sid=D7FC8AF637611368&eid=EB3DE2AA673AE431&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=13