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Synchronization of complex networks with non-delayed and delayed couplings via adaptive feedback and impulsive pinning control

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Abstract

In this paper, synchronization between two general complex delayed dynamical networks via adaptive feedback and impulsive pinning control is investigated. Based on the Lyapunov stability theory and mathematical analysis method, some novel synchronization criteria are derived, and an adaptive feedback and impulsive pinning control strategy is proposed simultaneously. These results remove some restrictions on coupling matrices, node dynamics, the number of pinned nodes and the impulsive gain. Further, we take the variable control into account in the impulsive pinning control scheme. Finally, some numerical simulations are performed to illustrate the effectiveness and correctness of the derived theoretical results.

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Acknowledgments

The authors would like to thank the editors and the reviewers for their valuable suggestions and comments, which have led to a much improved paper. This work was financially support by the National Natural Science Foundation of China (No. 61273015 and No. 61533006) and Key Program of Sichuan Provincial Department of Education.

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Authors and Affiliations

  1. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People’s Republic of China

    Xin Wang & Kun She

  2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, People’s Republic of China

    Shouming Zhong

  3. School of Science, Hubei University for Nationalities, Enshi, 445000, Hubei, People’s Republic of China

    Jun Cheng

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  1. Xin Wang
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Correspondence to Xin Wang.

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Wang, X., She, K., Zhong, S. et al. Synchronization of complex networks with non-delayed and delayed couplings via adaptive feedback and impulsive pinning control. Nonlinear Dyn 86, 165–176 (2016). https://doi.org/10.1007/s11071-016-2879-x

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  • DOI: https://doi.org/10.1007/s11071-016-2879-x

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