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Distributed synchronization of delayed dynamic networks under asynchronous delay-dependent impulsive control

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  • Zhang, Lingzhong
  • Lu, Jianquan
  • Jiang, Bangxin
  • Huang, Chi

Abstract

In this paper, we investigate the distributed synchronization of delayed dynamic networks (DNs) with asynchronous delayed impulsive control. Compared with some related works, the design of delayed impulsive control input allows asynchronous actuation, which is more reasonable for distributed synchronization. The methods of average asynchronous impulsive interval and average asynchronous impulsive delay are used to effectively fetch the delay information existing in asynchronous impulses and integrated to the synchronization of delayed DNs. Some sufficient synchronization criteria for delayed DNs with/without delay are given by using mathematical induction and averaging method. The relationship among impulsive gain, average impulsive interval and average impulsive delays is discussed. The proposed pinning control acts at the asynchronous impulsive instants of the network nodes, which indicates that the time delays existing in asynchronous impulsive control input have a synchronizing effect on the synchronization of delayed DNs. Finally, typical networks are considered to show the validity of asynchronous delayed impulsive control approach.

Suggested Citation

  • Zhang, Lingzhong & Lu, Jianquan & Jiang, Bangxin & Huang, Chi, 2023. "Distributed synchronization of delayed dynamic networks under asynchronous delay-dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s096007792300022x
    DOI: 10.1016/j.chaos.2023.113121
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    References listed on IDEAS

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    1. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    2. Hu, Cheng & Yu, Juan, 2016. "Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 262-269.
    3. He, Xinyi & Wang, Yuhan & Li, Xiaodi, 2021. "Uncertain impulsive control for leader-following synchronization of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    4. Alsaedi, Ahmed & Cao, Jinde & Ahmad, Bashir & Alshehri, Ahmed & Tan, Xuegang, 2022. "Synchronization of master-slave memristive neural networks via fuzzy output-based adaptive strategy," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
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    Cited by:

    1. Jiang, Xiaowei & Zhang, Ni & Li, Bo & Zhang, Xianhe, 2023. "Impulsive consensus of nonlinear multi-agent systems with input and state saturation constraints," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Gao, Zifan & Zhang, Dawei & Zhu, Shuqian, 2023. "Hybrid event-triggered synchronization control of delayed chaotic neural networks against communication delay and random data loss," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Shi, Lingna & Li, Jiarong & Jiang, Haijun & Wang, Jinling, 2023. "Quasi-synchronization of multi-layer delayed neural networks with parameter mismatches via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    4. Zhang, Lingzhong & Zhong, Jie & Lou, Jungang & Liu, Yang & Lu, Jianquan, 2023. "Bipartite secure synchronization for dynamic networks under deception attacks via delay-dependent impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    5. Zheng, Huannan & Zhu, Wei & Li, Xiaodi, 2024. "Quasi-synchronization of parameter mismatch drive-response systems: A self-triggered impulsive control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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