Abstract
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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