Synchronization of Complex Network with Several Same Nodes and External Disturbance

doi:10.3969/j.cnki.jdxb.2016.04.002

Abstract

Abstract:

With external disturbance,the changed states of network nodes will influence the stability of the complex network.With the aim of strengthening the capacity of resisting disturbance,realizing network synchronization and increasing network stability,this paper designs an adaptive controller through the introduction of Lyapunov stability theory,Integral inequality Barbalat lemma,Schur complement lemma and Synchronization Criterion.The network can be synchronized without the awareness of the disturbance intensity.This controller not only strengthens the network stability but also reduces its vulnerability;therefore,this research has certain practical significance.

Key words: complex network, self-adaption, controller, synchronization, stability

CHANG Ancheng，XIA Xiuyun . Synchronization of Complex Network with Several Same Nodes and External Disturbance[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.3969/j.cnki.jdxb.2016.04.002.

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Synchronization of Complex Network with Several Same Nodes and External Disturbance

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