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Outer Synchronization of Drive-Response Complex-Valued Complex Networks via Intermittent Pinning Control

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  • Xuefei Wu
  • Jianwen Feng
  • Zhe Nie
  • Guang Li

Abstract

This paper is concerned with the outer exponential synchronization of the drive-response complex dynamical networks subject to time-varying delays. The dynamics of nodes is complex valued, the interactions among of the nodes are directed, and the two coupling matrices in the drive system and the response system are also different. The intermittent pinning control is proposed to achieve outer exponential synchronization in the aperiodical way. Some novel sufficient conditions are derived to guarantee outer exponential synchronization of the considered complex-valued complex networks by using the Lyapunov functional method. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed control protocols.

Suggested Citation

  • Xuefei Wu & Jianwen Feng & Zhe Nie & Guang Li, 2021. "Outer Synchronization of Drive-Response Complex-Valued Complex Networks via Intermittent Pinning Control," Complexity, Hindawi, vol. 2021, pages 1-10, February.
  • Handle: RePEc:hin:complx:6649519
    DOI: 10.1155/2021/6649519
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    Cited by:

    1. Yanjie Ji & Zhaoyan Wu, 2021. "Outer Synchronization of Complex-Variable Networks with Complex Coupling via Impulsive Pinning Control," Mathematics, MDPI, vol. 9(17), pages 1-10, September.

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