IDEAS home Printed from https://ideas.repec.org/a/hin/complx/9821063.html
   My bibliography  Save this article

Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling

Author

Listed:
  • Yiping Luo
  • Yuejie Yao

Abstract

The finite-time synchronization control is studied in this paper for a class of nonlinear uncertain complex dynamic networks. The uncertainties in the network are unknown but bounded and satisfy some matching conditions. The coupling relationship between network nodes is described by a nonlinear function satisfying the Lipchitz condition. By introducing a simple Lyapunov function, two main results regarding finite-time synchronization of a class of complex dynamic networks with parameter uncertainties are derived. By employing some analysis techniques like matrix inequalities, suitable controllers can be designed based on the obtained synchronization criteria. Moreover, with the obtained control input, the time instant required for the system to achieve finite-time synchronization can be estimated if a set of LMIs are feasible or an assumption on the eigenvalues of some matrices can be satisfied. Finally, the effectiveness of the proposed results is verified by numerical simulation.

Suggested Citation

  • Yiping Luo & Yuejie Yao, 2019. "Finite-Time Synchronization of Uncertain Complex Dynamic Networks with Nonlinear Coupling," Complexity, Hindawi, vol. 2019, pages 1-14, December.
    • Handle: RePEc:hin:complx:9821063
    DOI: 10.1155/2019/9821063
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2019/9821063.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2019/9821063.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/9821063?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
    ---><---

    References listed on IDEAS

    as
    1. Rakkiyappan, R. & Velmurugan, G. & Nicholas George, J. & Selvamani, R., 2017. "Exponential synchronization of Lur’e complex dynamical networks with uncertain inner coupling and pinning impulsive control," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 217-231.
    2. Yu, Tianhu & Cao, Dengqing & Yang, Yang & Liu, Shengqiang & Huang, Wenhu, 2016. "Robust synchronization of impulsively coupled complex dynamical network with delayed nonidentical nodes," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 92-101.
    3. Zhang, Wanli & Li, Chuandong & Huang, Tingwen & Huang, Junjian, 2018. "Fixed-time synchronization of complex networks with nonidentical nodes and stochastic noise perturbations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1531-1542.
    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. Cai, Shuiming & Zhou, Feilong & He, Qinbin, 2019. "Fixed-time cluster lag synchronization in directed heterogeneous community networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 128-142.
    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. Li, Jiarong & Jiang, Haijun & Hu, Cheng & Yu, Juan, 2018. "Analysis and discontinuous control for finite-time synchronization of delayed complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 291-305.
    4. Fei Wang & Zhaowen Zheng & Yongqing Yang, 2019. "Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method," Complexity, Hindawi, vol. 2019, pages 1-17, December.
    5. Hu, Jingting & Sui, Guixia & Li, Xiaodi, 2020. "Fixed-time synchronization of complex networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    6. Zeng, Deqiang & Zhang, Ruimei & Liu, Yajuan & Zhong, Shouming, 2017. "Sampled-data synchronization of chaotic Lur’e systems via input-delay-dependent-free-matrix zero equality approach," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 34-46.
    7. Yang, Te & Wang, Zhen & Huang, Xia & Xia, Jianwei, 2022. "Sampled-data exponential synchronization of Markovian jump chaotic Lur'e systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    8. 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.
    9. Liu, Xinmiao & Xia, Jianwei & Huang, Xia & Shen, Hao, 2020. "Generalized synchronization for coupled Markovian neural networks subject to randomly occurring parameter uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    10. Chen, Chuan & Li, Lixiang & Peng, Haipeng & Yang, Yixian & Mi, Ling & Qiu, Baolin, 2019. "Fixed-time projective synchronization of memristive neural networks with discrete delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    11. Yang, Huilan & Wang, Xin & Shu, Lan & Zhao, Guozhu & Zhong, Shouming, 2019. "A new sampling interval fragmentation approach to synchronization of chaotic Lur’e systems," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 12-24.
    12. Jianying Xiao & Yongtao Li, 2022. "Novel Synchronization Conditions for the Unified System of Multi-Dimension-Valued Neural Networks," Mathematics, MDPI, vol. 10(17), pages 1-24, August.
    13. Nirvin, Prasath & Rihan, Fathalla A. & Rakkiyappan, Rajan & Pradeep, Chandrasekar, 2022. "Impulsive sampled-data controller design for synchronization of delayed T–S fuzzy Hindmarsh–Rose neuron model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 588-602.
    14. Wenhua Xia & Yiping Luo & Bifeng Zhou & Guanghui Liu, 2017. "Exponential Synchronization of a Class of -Coupled Complex Partial Differential Systems with Time-Varying Delay," Complexity, Hindawi, vol. 2017, pages 1-9, October.
    15. Feng, Yuming & Yang, Xinsong & Song, Qiang & Cao, Jinde, 2018. "Synchronization of memristive neural networks with mixed delays via quantized intermittent control," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 874-887.
    16. Liangzhi Gan & Shuo Li & Na Duan & Xiangyong Kong, 2020. "Adaptive Output Synchronization of General Complex Dynamical Network with Time-Varying Delays," Mathematics, MDPI, vol. 8(3), pages 1-10, March.

    More about this item

    Statistics

    Access and download statistics

    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:hin:complx:9821063. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.