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Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks

Author

Listed:
  • Zhang, Lili
  • Wang, Yinhe
  • Huang, Yuanyuan
  • Chen, Xuesong

Abstract

This paper investigates the delay-dependent synchronization schemes for the non-diffusively coupled time-varying complex dynamical networks. The outer coupling configuration matrix in our network model may be non-diffusive, time-varying, uncertain, asymmetric and irreducible. Different time-varying coupling delays for different nodes are also put into consideration in this paper. Besides, the nodes may have different state dimensions. Furthermore, only the common bound of the outer coupling coefficients (CBOCC) is used to design the synchronization controllers. If the CBOCC is known, our delay-dependent synchronization scheme can guarantee the network achieving exponential synchronization. And when the CBOCC is uncertain, the adaptive synchronization scheme, where only one adaptive law is needed, is proposed to guarantee the network realizing asymptotic synchronization. Simulation examples are provided to verify the effectiveness and feasibility of our theoretical results.

Suggested Citation

  • Zhang, Lili & Wang, Yinhe & Huang, Yuanyuan & Chen, Xuesong, 2015. "Delay-dependent synchronization for non-diffusively coupled time-varying complex dynamical networks," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 510-522.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:510-522
    DOI: 10.1016/j.amc.2014.12.034
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    References listed on IDEAS

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    1. Wang, Qingyun & Duan, Zhisheng & Chen, Guanrong & Feng, Zhaosheng, 2008. "Synchronization in a class of weighted complex networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5616-5622.
    2. 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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    Cited by:

    1. Feng, Jianwen & Yang, Pan & Zhao, Yi, 2016. "Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 52-68.
    2. Rakkiyappan, R. & Velmurugan, G. & Nicholas George, J. & Selvamani, R., 2017. "Exponential synchronization of Lur’e complex dynamical networks with uncertain inner coupling and pinning impulsive control," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 217-231.
    3. Jindao Zha & Chunbiao Li & Bing Song & Wen Hu, 2016. "Synchronisation control of composite chaotic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3952-3959, December.
    4. Liu, Lizhi & Wang, Yinhe & Gao, Zilin, 2020. "Tracking control for the dynamic links of discrete-time complex dynamical network via state observer," Applied Mathematics and Computation, Elsevier, vol. 369(C).

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