具有多重权值的时滞复杂网络固定时间同步问题研究

Research on Fixed-Time Synchronization of Delayed Complex Dynamical Networks with Multi-Weights

文章研究了基于非周期间歇性控制的具有多重权值和耦合时滞的复杂网络固定时间同步问题.通过构建具有多重权值的复杂网络模型,并基于固定时间稳定性引理和矩阵理论,给出了实现复杂网络固定时间同步的充分条件.此外,文章设计了固定时间非周期切换控制器,获得了实现复杂网络同步的时间上界的估计值.结论证明了实现网络同步的时间与网络的初始状态无关,最后数值模拟说明了理论结果的正确性和有效性.

In this paper,fixed-time synchronization of time-varying delayed complex dynamical networks with multi-weights via aperiodically intermittent control is investigated.By establishing a new complex network model with multiple weights and using matrix theory and Lyapunov fixed-time stability lemma,the sufficient conditions are given for fixed-time synchronization of complex networks.Moreover,this paper has designed the fixed-time aperiodically switching controller and acquired the estimated value of an upper bound time of accomplishment complex networks synchronization.The result shows that the settling time of realizing network synchronization is not dependent on the initial states.Numerical simulations are finally presented to demonstrate the feasibility and validity of the theoretical results.