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Pinning Synchronization of Discrete-Time Complex Networks with Different Time-Varying Delays

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Abstract

This paper investigates pinning synchronization of discrete-time complex networks with different time-varying delays. An important lemma is presented and proved, then detailed analysis is given to yield some synchronization criteria for this kind of networks. The results provide an effective way to synchronize discrete-time complex networks by reducing control cost. Furthermore, these theoretical results are illustrated by a complex network via two kinds of pinning schemes. Numerical simulations verify the feasibility of the proposed methods.

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Acknowledgments

The authors would like to thank the editor and the anonymous reviewers for their valuable comments and suggestions, which improved the quality of the paper. Further, the authors also thank Dr. Zhao Junchan (Hunan University of Commerce in Changsha) for his kind help.

Author information

Authors and Affiliations

  1. School of Mathematics and Computer, Wuhan Textile University, Wuhan, 430073, China

    Zhang Qunjiao

  2. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Wu Xiaoqun

  3. School of Mathematics and Computer, Wuhan Textile University, Wuhan, 430073, China

    Liu Jie

Authors
  1. Zhang Qunjiao
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  2. Wu Xiaoqun
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  3. Liu Jie
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Corresponding author

Correspondence to Zhang Qunjiao.

Additional information

This research was jointly supported by the National Natural Science Foundation of China under Grant Nos. 61304022, 61573262 and 61573011, and the Excellent Youth Foundation of Hunan Provincial Department of Education (16B141).

This paper was recommended for publication by Editor CHEN Jie.

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Qunjiao, Z., Xiaoqun, W. & Jie, L. Pinning Synchronization of Discrete-Time Complex Networks with Different Time-Varying Delays. J Syst Sci Complex 32, 1560–1571 (2019). https://doi.org/10.1007/s11424-019-7178-4

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  • DOI: https://doi.org/10.1007/s11424-019-7178-4

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