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Finite-time hybrid projective synchronization of the drive-response complex networks with distributed-delay via adaptive intermittent control

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  • Cheng, Lin
  • Yang, Yongqing
  • Li, Li
  • Sui, Xin

Abstract

This paper studies the finite-time hybrid projective synchronization of the drive-response complex networks. In the model, general transmission delays and distributed delays are also considered. By designing the adaptive intermittent controllers, the response network can achieve hybrid projective synchronization with the drive system in finite time. Based on finite-time stability theory and several differential inequalities, some simple finite-time hybrid projective synchronization criteria are derived. Two numerical examples are given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Cheng, Lin & Yang, Yongqing & Li, Li & Sui, Xin, 2018. "Finite-time hybrid projective synchronization of the drive-response complex networks with distributed-delay via adaptive intermittent control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 273-286.
    • Handle: RePEc:eee:phsmap:v:500:y:2018:i:c:p:273-286
    DOI: 10.1016/j.physa.2018.02.124
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    References listed on IDEAS

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    1. Li, Ping & Yi, Zhang, 2008. "Synchronization analysis of delayed complex networks with time-varying couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3729-3737.
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    3. Shi, Yanchao & Cao, Jinde & Chen, Guanrong, 2017. "Exponential stability of complex-valued memristor-based neural networks with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 222-234.
    4. Liu, Xiwei & Chen, Tianping, 2008. "Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4429-4439.
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    Cited by:

    1. Zhang, Hai & Ye, Miaolin & Ye, Renyu & Cao, Jinde, 2018. "Synchronization stability of Riemann–Liouville fractional delay-coupled complex neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 155-165.
    2. Cai, Shuiming & Zhou, Feilong & He, Qinbin, 2019. "Fixed-time cluster lag synchronization in directed heterogeneous community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 128-142.

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