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Delayed Impulsive Control for μ -Synchronization of Nonlinear Multi-Weighted Complex Networks with Uncertain Parameter Perturbation and Unbounded Delays

Author

Listed:
  • Hongguang Fan

    (College of Computer, Chengdu University, Chengdu 610106, China
    Engineering Research Center of Big Data Application in Private Health Medicine, Fujian Province University, Putian 351100, China)

  • Jiahui Tang

    (College of Computer, Chengdu University, Chengdu 610106, China)

  • Kaibo Shi

    (School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China)

  • Yi Zhao

    (College of Mathematical and Statistical, Shenzhen University, Shenzhen 518060, China)

  • Hui Wen

    (Engineering Research Center of Big Data Application in Private Health Medicine, Fujian Province University, Putian 351100, China
    New Engineering Industry College, Putian University, Putian 351100, China)

Abstract

The global μ -synchronization problem for nonlinear multi-weighted complex dynamical networks with uncertain parameter perturbation and mixed time-varying delays is investigated in this paper. Unlike other existing works, all delays, including sampling and internal and coupling delays, are assumed to be unbounded, making the considered model more general and practical. Based on the generalized impulsive comparison principles, a time-varying impulsive controller with sampling delays is designed, and some new sufficient conditions are obtained to make drive–response multi-weighted networks reach μ -synchronization. In addition, the external coupling matrices do not need to meet the requirement of zero-row sum, and the limitation of time delay on pulse interval is weakened. The results obtained in this article can be seen as extensions of previous related research.

Suggested Citation

  • Hongguang Fan & Jiahui Tang & Kaibo Shi & Yi Zhao & Hui Wen, 2023. "Delayed Impulsive Control for μ -Synchronization of Nonlinear Multi-Weighted Complex Networks with Uncertain Parameter Perturbation and Unbounded Delays," Mathematics, MDPI, vol. 11(1), pages 1-17, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:1:p:250-:d:1023905
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    References listed on IDEAS

    as
    1. Mao, Kun & Liu, Xiaoyang & Cao, Jinde & Hu, Yuanfa, 2022. "Finite-time bipartite synchronization of coupled neural networks with uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    2. Zhang, Chunmei & Yang, Yinghui, 2020. "Synchronization of stochastic multi-weighted complex networks with Lévy noise based on graph theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    3. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
    4. Fan, Hongguang & Shi, Kaibo & Zhao, Yi, 2022. "Pinning impulsive cluster synchronization of uncertain complex dynamical networks with multiple time-varying delays and impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    5. Fan, Hongguang & Shi, Kaibo & Zhao, Yi, 2022. "Global μ-synchronization for nonlinear complex networks with unbounded multiple time delays and uncertainties via impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    6. Ruofeng Rao & Zhi Lin & Xiaoquan Ai & Jiarui Wu, 2022. "Synchronization of Epidemic Systems with Neumann Boundary Value under Delayed Impulse," Mathematics, MDPI, vol. 10(12), pages 1-10, June.
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