IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v211y2023icp134-153.html
   My bibliography  Save this article

Delay-dependent impulsive control for lag quasi-synchronization of stochastic complex dynamical networks

Author

Listed:
  • Suo, JingJing
  • Hu, Hongxiao
  • Xu, Liguang

Abstract

In this paper, the globally exponential lag quasi-synchronization problem of stochastic complex dynamical networks with impulsive control is studied. Sufficient conditions ensuring the exponential lag quasi-synchronization in mean square for the systems with and without communication delay are obtained by using some important inequalities, Lyapunov function and Itô formula respectively. The results show that the lag quasi-synchronization of stochastic complex dynamical networks can be realized by using the impulsive control method. Two numerical examples are also given to verify the effectiveness of the theoretical results.

Suggested Citation

  • Suo, JingJing & Hu, Hongxiao & Xu, Liguang, 2023. "Delay-dependent impulsive control for lag quasi-synchronization of stochastic complex dynamical networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 134-153.
    • Handle: RePEc:eee:matcom:v:211:y:2023:i:c:p:134-153
    DOI: 10.1016/j.matcom.2023.04.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475423001453
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2023.04.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Wang & Zhao, Lingzhi & Shi, Hongjun & Zhao, Donghua & Sun, Yongzheng, 2021. "Realizing generalized outer synchronization of complex dynamical networks with stochastically adaptive coupling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 379-390.
    2. Yuanfu Shao & Changjin Xu & Qianhong Zhang, 2012. "Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, May.
    3. Liu, Xiwei & Chen, Tianping, 2007. "Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 82-92.
    4. Wang, Sixin & Mei, Jun & Xia, Dan & Yang, Zhanying & Hu, Junhao, 2022. "Finite-time optimal feedback control mechanism for knowledge transmission in complex networks via model predictive control," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    5. Zhang, Wanli & Yang, Xinsong & Yang, Shiju & Alsaedi, Ahmed, 2021. "Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 319-329.
    6. Qiu, Xiaofen & Zhu, Guanghu & Ding, Yong & Li, Kezan, 2019. "Successive lag synchronization on complex dynamical networks via delay-dependent impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sun, Ruyi & Chang, Jiaqi & Wang, Hongmei & Li, Miaomiao & Sun, Yongzheng, 2024. "Time and energy costs for synchronization of multi-layer networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 440-455.
    2. Junwei Wang & Kairui Chen & Yun Zhang, 2017. "Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies," Complexity, Hindawi, vol. 2017, pages 1-11, January.
    3. Korneev, I.A. & Semenov, V.V. & Slepnev, A.V. & Vadivasova, T.E., 2021. "Complete synchronization of chaos in systems with nonlinear inertial coupling," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    4. Tseng, Jui-Pin, 2016. "A novel approach to synchronization of nonlinearly coupled network systems with delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 452(C), pages 266-280.
    5. Xu, Changjin & Li, Peiluan, 2017. "Global exponential convergence of neutral-type Hopfield neural networks with multi-proportional delays and leakage delays," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 139-144.
    6. Liu, Xiwei & Chen, Tianping, 2008. "Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4429-4439.
    7. Huafei Chen & Jia Chen & Dan Qu & Kelin Li & Fei Luo, 2022. "An Uncertain Sandwich Impulsive Control System with Impulsive Time Windows," Mathematics, MDPI, vol. 10(24), pages 1-14, December.
    8. Chao Li & Qiming Yang & Bowen Pang & Tiance Chen & Qian Cheng & Jiaomin Liu, 2021. "A Mixed Strategy of Higher-Order Structure for Link Prediction Problem on Bipartite Graphs," Mathematics, MDPI, vol. 9(24), pages 1-13, December.
    9. Hongjie Li & W. K. Wong & Yang Tang, 2012. "Global Synchronization Stability for Stochastic Complex Dynamical Networks with Probabilistic Interval Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 152(2), pages 496-516, February.
    10. Gani Stamov & Ivanka Stamova & Stanislav Simeonov & Ivan Torlakov, 2020. "On the Stability with Respect to H-Manifolds for Cohen–Grossberg-Type Bidirectional Associative Memory Neural Networks with Variable Impulsive Perturbations and Time-Varying Delays," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    11. Yang, Shiju & Li, Chuandong & He, Xiping & Zhang, Wanli, 2022. "Variable-time impulsive control for bipartite synchronization of coupled complex networks with signed graphs," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    12. Lu, Jun Guo & Chen, Guanrong, 2009. "Global asymptotical synchronization of chaotic neural networks by output feedback impulsive control: An LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2293-2300.
    13. Zhai, Shidong & Huang, Tao & Luo, Guoqiang & Wang, Xin & Ma, Jun, 2022. "Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:211:y:2023:i:c:p:134-153. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.