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Modified Functional Projective Synchronization of the Unidirectional and Bidirectional Hybrid Connective Star Network with Coupling Time-Delay

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Wuhan University Journal of Natural Sciences

Abstract

An unidirectional and bidirectional hybrid connective star network model with coupling time-delay is constructed in this paper. According to synchronization error systems, adaptive controllers for each node are structured by using the linear system stability method and the Lyapunov stability method. These adaptive controllers can realize the modified functional projective synchronization between each node of star network and an isolated node by argument and analysis. Finally, the corrective and effective of the adaptive controllers are illustrated by some numerical examples.

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Correspondence to Dekui Li.

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>Foundation item: Supported by the National Natural Science Foundation of China (11161027), Natural Science Foundation of Gansu Province (1610RJZA080), and the Foundation of Gansu Education Bureau (2017A-155)

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Li, D. Modified Functional Projective Synchronization of the Unidirectional and Bidirectional Hybrid Connective Star Network with Coupling Time-Delay. Wuhan Univ. J. Nat. Sci. 24, 321–328 (2019). https://doi.org/10.1007/s11859-019-1403-9

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  • DOI: https://doi.org/10.1007/s11859-019-1403-9

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