关键词： 复杂网络, 自适应性, 同步, 稳定性

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