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Fixed-time synchronization of complex networks with nonidentical nodes and stochastic noise perturbations

Author

Listed:
  • Zhang, Wanli
  • Li, Chuandong
  • Huang, Tingwen
  • Huang, Junjian

Abstract

This paper investigates the fixed-time synchronization of complex networks (CNs) with nonidentical nodes and stochastic noise perturbations. By designing new controllers, constructing Lyapunov functions and using the properties of Weiner process, different synchronization criteria are derived according to whether the node systems in the CNs or the goal system satisfies the corresponding conditions. Moreover, the role of the designed controllers is analyzed in great detail by constructing a suitable comparison system and a new method is presented to estimate the settling time by utilizing the comparison system. Results of this paper can be applied to both directed and undirected weighted networks. Numerical simulations are offered to verify the effectiveness of our new results.

Suggested Citation

  • Zhang, Wanli & Li, Chuandong & Huang, Tingwen & Huang, Junjian, 2018. "Fixed-time synchronization of complex networks with nonidentical nodes and stochastic noise perturbations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1531-1542.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:1531-1542
    DOI: 10.1016/j.physa.2017.11.079
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    Citations

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    Cited by:

    1. Liu, Xinmiao & Xia, Jianwei & Huang, Xia & Shen, Hao, 2020. "Generalized synchronization for coupled Markovian neural networks subject to randomly occurring parameter uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    2. Hu, Jingting & Sui, Guixia & Li, Xiaodi, 2020. "Fixed-time synchronization of complex networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    3. Yiping Luo & Yuejie Yao, 2019. "Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling," Complexity, Hindawi, vol. 2019, pages 1-14, December.
    4. Jianying Xiao & Yongtao Li, 2022. "Novel Synchronization Conditions for the Unified System of Multi-Dimension-Valued Neural Networks," Mathematics, MDPI, vol. 10(17), pages 1-24, August.
    5. Chen, Chuan & Li, Lixiang & Peng, Haipeng & Yang, Yixian & Mi, Ling & Qiu, Baolin, 2019. "Fixed-time projective synchronization of memristive neural networks with discrete delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    6. 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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