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Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods

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  • Wang, Jian-an
  • Ma, Xiaohui
  • Wen, Xinyu
  • Sun, Qianlai

Abstract

This paper develops an intermittent control with two switched periods to study the pinning lag synchronization problem of drive–response complex networks. These two switched periods may have different control rates. By designing appropriate adaptive intermittent pinning controllers and using Lyapunov stability theory, some sufficient conditions for ensuring the lag synchronization between two coupled networks are derived. The minimum number of pinned nodes is determined by node dynamics, coupling strength, inner coupling matrix and a design parameter. Two simple pinning lag synchronization criteria are obtained from the proposed conditions. A numerical example is provided to illustrate the feasibility of the theoretical results.

Suggested Citation

  • Wang, Jian-an & Ma, Xiaohui & Wen, Xinyu & Sun, Qianlai, 2016. "Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 278-287.
    • Handle: RePEc:eee:phsmap:v:461:y:2016:i:c:p:278-287
    DOI: 10.1016/j.physa.2016.05.016
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    References listed on IDEAS

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    1. Wang, Guanjun & Cao, Jinde & Lu, Jianquan, 2010. "Outer synchronization between two nonidentical networks with circumstance noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1480-1488.
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    Cited by:

    1. Luo, Mengzhuo & Liu, Xinzhi & Zhong, Shouming & Cheng, Jun, 2018. "Synchronization of multi-stochastic-link complex networks via aperiodically intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 20-38.
    2. Yi-Ping Luo & Li Shu & Bi-Feng Zhou, 2017. "Global Exponential Synchronization of Nonlinearly Coupled Complex Dynamical Networks with Time-Varying Coupling Delays," Complexity, Hindawi, vol. 2017, pages 1-10, August.
    3. Ma, Mihua & Cai, Jianping & Zhang, Hua, 2019. "Quasi-synchronization of Lagrangian networks with parameter mismatches and communication delays via aperiodically intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1146-1160.

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