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Synchronization for complex dynamic networks with state and coupling time-delays

This paper is concerned with the problem of synchronization for complex dynamic networks with state and coupling time-delays. Therefore, larger class and more complicated complex dynamic networks can be considered for the synchronization problem. Based on the Lyapunov-Krasovskii functional, a delay-independent criterion is obtained and formulated in the form of linear matrix inequalities (LMIs) to ascertain the synchronization between each nodes of the complex dynamic network. The effectiveness of the proposed method is illustrated using a numerical simulation.