Novel Criterion for Synchronization Stability of Complex Dynamical Networks with Non-delayed and Delayed Coupling

Detian Huang, Jianeng Tang, Peizhong Liu, Yuzhao Zhang · International Journal of Control and Automation · 2016

In the paper, a class of complex dynamical network with non-delayed and delayed coupling is investigated.Then the problem of synchronization stability analysis for the complex dynamical network is further discussed.Taking advantage of linear matrix inequalities (LMI), a novel Lyapunov function is constructed.And then a new general stability criterion is proposed of synchronization state in the complex dynamical networks.Finally, numerical simulations are provided to show the effectiveness and feasibility of the proposed theorem.

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