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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

Keywords: Lag synchronization,chaos,delayed neural system,linear matrix inequality (LMI),generalized eigenvalue minimization programming (GEVP)
Lag
,synchronization,chaos,delayed,neural,system,linear,matrix,inequality,(LMI),generalized,eigenvalue,minimization,programming,(GEVP)

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Abstract:

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.

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