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Nonperiodic intermittent control for pinning synchronization of directed dynamical networks with internal delay and hybrid coupling

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  • Zhou, Peipei
  • Shen, Yafei
  • Cai, Shuiming

Abstract

This paper considers the intermittent control problem for pinning synchronization of directed dynamical networks with internal delay and hybrid coupling. Each uncoupled node is governed by a delayed dynamical system, and hybrid coupling is composed of current-state coupling and distributed-delay coupling. Through adding some nonperiodic intermittent controllers to partial nodes of addressed dynamical networks, a general criterion is derived to ensure global exponential synchronization. Moreover, by using the matrix decomposition method, some low-dimensional synchronization criteria are obtained, based on which the lower bounds of the control gains and control rates can be estimated easily, and accordingly the intermittent pinning controllers can be designed conveniently. Finally, the validity of the proposed method is confirmed by a numerical example.

Suggested Citation

  • Zhou, Peipei & Shen, Yafei & Cai, Shuiming, 2019. "Nonperiodic intermittent control for pinning synchronization of directed dynamical networks with internal delay and hybrid coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    • Handle: RePEc:eee:phsmap:v:531:y:2019:i:c:s0378437119309951
    DOI: 10.1016/j.physa.2019.121737
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    Cited by:

    1. Lin, Hai & Wang, Jingcheng, 2022. "Pinning synchronization of complex networks with time-varying outer coupling and nonlinear multiple time-varying delay coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    2. Shen, Yafei & Shi, Jinyao & Cai, Shuiming, 2020. "Pinning synchronization of weighted bipartite networks with time-varying delays via aperiodic intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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