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Synchronization of nonlinearly coupled complex networks: Distributed impulsive method

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  • Ding, Dong
  • Tang, Ze
  • Wang, Yan
  • Ji, Zhicheng

Abstract

This paper is devoted to discussing the exponential synchronization of a class of nonlinearly coupled complex networks (NCCNs) with time-varying delays and stochastic disturbance. In consideration of the complex networks would subject to certain impulse disturbances, a kind of distributed controller combining with pinning control and impulsive control schemes is designed. Based on the concept of average impulsive interval and comparison principles, sufficient conditions for achieving the exponential synchronization are derived. In addition, the exponential convergence velocities are obtained, respectively, with considering different functions of the impulsive inputs. Finally, a numerical simulation is presented to demonstrate the feasibility of the theoretical deduction.

Suggested Citation

  • Ding, Dong & Tang, Ze & Wang, Yan & Ji, Zhicheng, 2020. "Synchronization of nonlinearly coupled complex networks: Distributed impulsive method," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    • Handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300199
    DOI: 10.1016/j.chaos.2020.109620
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    References listed on IDEAS

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    Cited by:

    1. Dong, Shiyu & Shi, Kaibo & Wen, Shiping & Shen, Yuan & Zhong, Shouming, 2023. "Almost surely synchronization of directed coupled neural networks via stochastic distributed delayed impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Xuan, Deli & Tang, Ze & Feng, Jianwen & Park, Ju H., 2021. "Cluster synchronization of nonlinearly coupled Lur’e networks: Delayed impulsive adaptive control protocols," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Yuan, Wenying & Tong, Tianchi & Dong, Qian & Sun, Jinsheng, 2024. "Stealthy FDI attacks on modified Kalman filtering in complex networks with non-Gaussian-Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    4. Liu, Haoliang & Zhang, Taixiang & Li, Xiaodi, 2021. "Event-triggered control for nonlinear systems with impulse effects," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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