United directed complex dynamical networks with multi-links: Novel synchronization stability criteria

作者：Tang Jianeng; Huang Detian; Liu Peizhong

来源：International Journal of Innovative Computing Information and Control, 2017, 13(5): 1595-1608.

• Complex dynamical networks
• Daily lives
• Lyapunov stability theory
• Multi-link
• Synchronization stability
• Synchronization state
• Transport networks

Networks with multi-links can be found everywhere in our daily life such as communication networks, transport networks and social networks. In view of a method of network split according to the different nature of time-delay, the model of the united directed complex dynamical networks with multi-links is considered in the paper. Then the problem of synchronization stability analysis for the united directed complex dynamical network is further discussed. Taking advantage of linear matrix inequalities (LMI), some novel Lyapunov functions are constructed. And then some new general stability criteria are proposed of synchronization state in the united directed complex dynamical networks by use of the Lyapunov stability theory. Finally, numerical simulations are provided to show the effectiveness and feasibility of the proposed theorems.

• 出版日期2017