• 论文 •

### 具有多重权值的时滞复杂网络固定时间同步问题研究

1. 1.陆军工程大学 军械士官学校基础部,武汉 430075;2. 陆军工程大学石家庄校区军 政基础系, 石家庄 050003; 3. 陆军工程大学石家庄校区学员十七大队, 石家庄 050003
• 出版日期:2020-01-25 发布日期:2020-04-29

XIAO Feng,GAN Qintao, HUANG Xin. Research on Fixed-Time Synchronization of Delayed Complex Dynamical Networks with Multi-Weights[J]. Journal of Systems Science and Mathematical Sciences, 2020, 40(1): 15-28.

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

XIAO Feng1 ,GAN Qintao2 ,HUANG Xin3

1. 1. Basic Courses Department, Ordnace N.C.O Academy, Army Engineering University of PLA, Wuhan 430075; 2. Basic Military and Political Education Department, Shijiazhuang campus of Army Engineering University, Shijiazhuang 050003; 3. 17th Cadet Regiment, Shijiazhuang Campus of Army Engineering University, Shijiazhuang 050003
• Online:2020-01-25 Published:2020-04-29

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.

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