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The Impact of Coupling Function on Finite-Time Synchronization Dynamics of Multi-Weighted Complex Networks with Switching Topology

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  • Bin Yang
  • Xin Wang
  • Jian-an Fang
  • Yuhua Xu

Abstract

This paper is not only concerned with the problem of finite-time synchronization control for a class of nonlinear coupling multi-weighted complex networks (NCMWCNs) with switching topology but also an attempt at using the derived results and Lyapunov stability theory to study the impact of nonlinear coupling function on finite-time synchronization dynamics of the raised network model. Firstly, different from the existing related results, based on the existing and new finite-time theories, two finite-time synchronization controllers are, respectively, designed to make the considered network achieve finite-time synchronization. Secondly, according to the obtained results, several finite-time synchronization dynamics criteria are established to show that nonlinear coupled function and the switching of outer-coupling matrix are how to impact finite-time synchronization dynamics. Finally, two illustrated examples are provided to verify the effectiveness of theoretical results proposed in this paper.

Suggested Citation

  • Bin Yang & Xin Wang & Jian-an Fang & Yuhua Xu, 2019. "The Impact of Coupling Function on Finite-Time Synchronization Dynamics of Multi-Weighted Complex Networks with Switching Topology," Complexity, Hindawi, vol. 2019, pages 1-15, March.
  • Handle: RePEc:hin:complx:7276152
    DOI: 10.1155/2019/7276152
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    References listed on IDEAS

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    1. Hu, Aihua & Cao, Jinde & Hu, Manfeng & Guo, Liuxiao, 2014. "Cluster synchronization in directed networks of non-identical systems with noises via random pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 537-548.
    2. An, Xin-lei & Zhang, Li & Zhang, Jian-gang, 2015. "Research on urban public traffic network with multi-weights based on single bus transfer junction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 748-755.
    3. Xie, Qian & Si, Gangquan & Zhang, Yanbin & Yuan, Yiwei & Yao, Rui, 2016. "Finite-time synchronization and identification of complex delayed networks with Markovian jumping parameters and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 35-49.
    4. An, Xin-lei & Zhang, Li & Li, Yin-zhen & Zhang, Jian-gang, 2014. "Synchronization analysis of complex networks with multi-weights and its application in public traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 149-156.
    5. Yilun Shang, 2017. "Finite-time scaled consensus through parametric linear iterations," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2033-2040, July.
    6. R. Saravanakumar & M. Syed Ali & H. R. Karimi, 2017. "Robust control of uncertain stochastic Markovian jump systems with mixed time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 862-872, March.
    7. Rathinasamy Sakthivel & Ramalingam Sakthivel & Boomipalagan Kaviarasan & Chao Wang & Yong-Ki Ma, 2018. "Finite-Time Nonfragile Synchronization of Stochastic Complex Dynamical Networks with Semi-Markov Switching Outer Coupling," Complexity, Hindawi, vol. 2018, pages 1-13, January.
    8. Zhang, Chuan & Wang, Xingyuan & Luo, Chao & Li, Junqiu & Wang, Chunpeng, 2018. "Robust outer synchronization between two nonlinear complex networks with parametric disturbances and mixed time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 251-264.
    9. Yuhua Xu & Jinmeng Wang & Wuneng Zhou & Xin Wang, 2019. "Synchronization in pth Moment for Stochastic Chaotic Neural Networks with Finite-Time Control," Complexity, Hindawi, vol. 2019, pages 1-8, January.
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    Cited by:

    1. Fei Wang & Zhaowen Zheng & Yongqing Yang, 2019. "Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method," Complexity, Hindawi, vol. 2019, pages 1-17, December.

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