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Outer synchronization of a class of mixed delayed complex networks based on pinning control. (English) Zbl 1448.93168

Summary: In this paper, the problem on outer synchronization is investigated for a class of mixed delayed complex networks by using the pinning control strategy. Together with some Lyapunov-Krasovskii functional and effective mathematical techniques, several conditions are derived to guarantee a class of complex networks with mixed delays to be outer synchronization. By proposing a novel functional condition which has not been proposed so far, further improved synchronization criteria are proposed. Finally, two examples are given to illustrate the effectiveness of the results.

MSC:

93C40 Adaptive control/observation systems
34D06 Synchronization of solutions to ordinary differential equations
93A14 Decentralized systems

References:

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