Global Asymptotical Bounded Synchronization for a Class of Coupled Complex Networks With Nonidentical Nodes

This paper investigates the bounded synchronization problem for a class of coupled complex networks with nonidentical nodes. Based on the average value trajectory, a new definition of the bounded synchronization is established for the concerned networks, which can be proved to be equivalent to the conventional one. By use of the Lyapunov function method and the linear matrix inequality technique, several sufficient conditions are derived to guarantee the bounded synchronization. Moreover, the corresponding estimations of the bounded synchronization domain can also be obtained. An illustrative numerical example is included to show the effectiveness of the main theoretical results.

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