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Pinning Synchronization of Complex Dynamical Networks on Time Scales

Fang-Di Kong* and Jian-Ping Sun
International Journal of Control, Automation, and Systems, vol. 19, no. 2, pp.878-888, 2021

Abstract : The purpose of this paper is to investigate the synchronization problem of complex dynamical networks on time scales, which includes the synchronization problem of continuous-time and discrete-time complex dynamical networks as special cases. A pinning control strategy is designed to achieve synchronization of complex dynamical networks on time scales. Based on the theory of calculus on time scales and the Lyapunov method, pinning synchronization criteria for complex dynamical networks on time scales are established. Moreover, a numerical example is given to verify the effectiveness of theoretical results.

Keyword : Complex dynamical network, pinning control, synchronization, time scale.

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