具有N个相同节点带外部扰动的复杂网络同步

复杂网络受到外部干扰时，网络每个节点的状态会发生改变，也就影响了网络的稳定性.为了加强网络的抗干扰能力，实现网络同步，增强网络稳定性，通过引入Lyapunov稳定性理论、积分不等式Barbalat引理、Schur补引理和复杂网络的同步准则，设计了一款自适应控制器.该控制器即使在网络不知道被扰动的强度的情况下，依然可以实现复杂网络的同步，既增强了网络的稳定性又降低了网络的脆弱性，有一定的现实意义.

Synchronization of Complex Network with Several Same Nodes and External Disturbance

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.