IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i16p3543-d1218565.html
   My bibliography  Save this article

Outer Synchronization of Two Muti-Layer Dynamical Complex Networks with Intermittent Pinning Control

Author

Listed:
  • Yi Liang

    (School of Network Security and Information Technology, Yili Normal University, Yining 835000, China
    Key Laboratory of Intelligent Computing Research and Application, Yili Normal University, Yining 835000, China)

  • Yunyun Deng

    (School of Network Security and Information Technology, Yili Normal University, Yining 835000, China
    Key Laboratory of Intelligent Computing Research and Application, Yili Normal University, Yining 835000, China)

  • Chuan Zhang

    (School of Mathematical Science, Qufu Normal University, Qufu 273165, China)

Abstract

This paper regards the outer synchronization of multi-layer dynamical networks with additive couplings via aperiodically intermittent pinning control, in which different layers of each multi-layer network have different topological structures. First, a state-feedback intermittent pinning controller is designed in the drive and response configuration, and sufficient conditions to achieve the outer synchronization are derived based on the Lyapunov stability theory and matrix inequalities. Second, outer synchronization problem of multi-layer networks is discussed by setting an adaptive intermittent pinning controller; an appropriate Lyapunov function is selected to prove the criteria of synchronization between the drive multi-layer network and the response multi-layer network. Finally, three simulation examples are given to show the effectiveness of our control schemes.

Suggested Citation

  • Yi Liang & Yunyun Deng & Chuan Zhang, 2023. "Outer Synchronization of Two Muti-Layer Dynamical Complex Networks with Intermittent Pinning Control," Mathematics, MDPI, vol. 11(16), pages 1-15, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3543-:d:1218565
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/16/3543/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/16/3543/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yang, Huilan & Wang, Xin & Zhong, Shouming & Shu, Lan, 2018. "Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 75-85.
    2. Wang, Xiao Fan & Chen, Guanrong, 2002. "Pinning control of scale-free dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 521-531.
    3. Wang, Guanjun & Cao, Jinde & Lu, Jianquan, 2010. "Outer synchronization between two nonidentical networks with circumstance noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1480-1488.
    4. Xudong Hai & Guojian Ren & Yongguang Yu & Conghui Xu, 2019. "Adaptive Pinning Synchronization of Fractional Complex Networks with Impulses and Reaction–Diffusion Terms," Mathematics, MDPI, vol. 7(5), pages 1-17, May.
    5. M. Hymavathi & Tarek F. Ibrahim & M. Syed Ali & Gani Stamov & Ivanka Stamova & B. A. Younis & Khalid I. Osman, 2022. "Synchronization of Fractional-Order Neural Networks with Time Delays and Reaction-Diffusion Terms via Pinning Control," Mathematics, MDPI, vol. 10(20), pages 1-18, October.
    6. Liang, Yi & Qi, Xiaolong & Wei, Qiang, 2018. "Synchronization of delayed complex networks via intermittent control with non-period," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1327-1339.
    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. Pi, Xiaochen & Tang, Longkun & Chen, Xiangzhong, 2021. "A directed weighted scale-free network model with an adaptive evolution mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    2. T. Botmart & N. Yotha & P. Niamsup & W. Weera, 2017. "Hybrid Adaptive Pinning Control for Function Projective Synchronization of Delayed Neural Networks with Mixed Uncertain Couplings," Complexity, Hindawi, vol. 2017, pages 1-18, August.
    3. Wenle Zhang & Jianchang Liu, 2016. "Ultra-fast consensus of discrete-time multi-agent systems with multi-step predictive output feedback," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1465-1479, April.
    4. Miao, Qingying & Rong, Zhihai & Tang, Yang & Fang, Jianan, 2008. "Effects of degree correlation on the controllability of networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6225-6230.
    5. Wang, Fei & Yang, Yongqing & Hu, Manfeng & Xu, Xianyun, 2015. "Projective cluster synchronization of fractional-order coupled-delay complex network via adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 134-143.
    6. Yunlong Wu & Qian Zhao & Hui Li, 2018. "Synchronization of directed complex networks with uncertainty and time-delay," International Journal of Distributed Sensor Networks, , vol. 14(5), pages 15501477187, May.
    7. Yan, Jiaye & Zhou, Jiaying & Wu, Zhaoyan, 2019. "Structure identification of unknown complex-variable dynamical networks with complex coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 256-265.
    8. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
    9. Yi, Chengbo & Feng, Jianwen & Wang, Jingyi & Xu, Chen & Zhao, Yi, 2017. "Synchronization of delayed neural networks with hybrid coupling via partial mixed pinning impulsive control," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 78-90.
    10. Guo, Beibei & Wu, Yinhu & Xiao, Yu & Zhang, Chiping, 2018. "Graph-theoretic approach to synchronizing stochastic coupled systems with time-varying delays on networks via periodically intermittent control," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 341-357.
    11. Wang, Jian-an & Ma, Xiaohui & Wen, Xinyu & Sun, Qianlai, 2016. "Pinning lag synchronization of drive–response complex networks via intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 278-287.
    12. Wang, Aijuan & Liao, Xiaofeng & Dong, Tao, 2018. "Finite-time event-triggered synchronization for reaction–diffusion complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 111-120.
    13. Chan, Felix T.S. & Wang, Zheng & Zhang, Jie, 2007. "A two-level hedging point policy for controlling a manufacturing system with time-delay, demand uncertainty and extra capacity," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1528-1558, February.
    14. Noah J Cowan & Erick J Chastain & Daril A Vilhena & James S Freudenberg & Carl T Bergstrom, 2012. "Nodal Dynamics, Not Degree Distributions, Determine the Structural Controllability of Complex Networks," PLOS ONE, Public Library of Science, vol. 7(6), pages 1-5, June.
    15. Yang-Yu Liu & Jean-Jacques Slotine & Albert-László Barabási, 2012. "Control Centrality and Hierarchical Structure in Complex Networks," PLOS ONE, Public Library of Science, vol. 7(9), pages 1-7, September.
    16. Liu, Z.X. & Chen, Z.Q. & Yuan, Z.Z., 2007. "Pinning control of weighted general complex dynamical networks with time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 345-354.
    17. Liu, Xinzhi & Zhang, Kexue & Xie, Wei-Chau, 2016. "Stabilization of time-delay neural networks via delayed pinning impulses," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 223-234.
    18. Ancona, Camilla & Della Rossa, Fabio & Lo Iudice, Francesco & De Lellis, Pietro, 2024. "Percolation-induced explosive synchronization in pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    19. Xiang, L.Y. & Liu, Z.X. & Chen, Z.Q. & Chen, F. & Yuan, Z.Z., 2007. "Pinning control of complex dynamical networks with general topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(1), pages 298-306.
    20. Wang, Fei & Yang, Yongqing, 2018. "Intermittent synchronization of fractional order coupled nonlinear systems based on a new differential inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 142-152.

    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:gam:jmathe:v:11:y:2023:i:16:p:3543-:d:1218565. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.