IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i1p303-313.html
   My bibliography  Save this article

Average consensus in networks of multi-agents with both switching topology and coupling time-delay

Author

Listed:
  • Lin, Peng
  • Jia, Yingmin

Abstract

This paper is devoted to the study of the average-consensus problem in directed networks of agents with both switching topology and time-delay. The stability analysis is performed based on a proposed Lyapunov–Krasovskii function. Sufficient conditions in terms of linear matrix inequalities (LMIs) are given to guarantee the average consensus under arbitrary switching of the network topology even if the time-delay is time-varying. Numerical simulations show the effectiveness of our theoretical results.

Suggested Citation

  • Lin, Peng & Jia, Yingmin, 2008. "Average consensus in networks of multi-agents with both switching topology and coupling time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 303-313.
  • Handle: RePEc:eee:phsmap:v:387:y:2008:i:1:p:303-313
    DOI: 10.1016/j.physa.2007.08.040
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437107009442
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2007.08.040?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2012. "Admissible consensus and consensualization of high-order linear time-invariant singular swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5839-5849.
    3. Ning, Bo & Ren, Quansheng & Zhao, Jianye, 2012. "Enhancing consensus in weighted networks with coupling time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3061-3068.
    4. Wu, Jinying & Xi, Jianxiang & Yang, Xiaogang & Liu, Guangbin, 2015. "Uniqueness of consensus functions for time-delayed swarm systems with time-varying topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 781-787.
    5. Xi, Jianxiang & Cai, Ning & Zhong, Yisheng, 2010. "Consensus problems for high-order linear time-invariant swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5619-5627.
    6. Zhang, Xuxi & Liu, Xianping & Lewis, Frank L. & Wang, Xia, 2020. "Bipartite tracking consensus of nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    7. Kazunori Sakurama & Kazushi Nakano, 2015. "Necessary and sufficient condition for average consensus of networked multi-agent systems with heterogeneous time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 818-830, April.
    8. Wu, Zhihai & Peng, Li & Xie, Linbo & Wen, Jiwei, 2013. "Stochastic bounded consensus tracking of leader–follower multi-agent systems with measurement noises based on sampled-data with small sampling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 918-928.
    9. Martín-Hernández, J. & Wang, H. & Van Mieghem, P. & D’Agostino, G., 2014. "Algebraic connectivity of interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 92-105.
    10. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2011. "Consensus analysis and design for high-order linear swarm systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4114-4123.
    11. Leng, Jun-qiang & Zhai, Jing & Li, Qian-wen & Zhao, Lin, 2018. "Construction of road network vulnerability evaluation index based on general travel cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 421-429.
    12. Hong Xia & Ting-Zhu Huang & Jin-Liang Shao & Jun-Yan Yu, 2014. "Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, July.
    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).
    14. Mo, Lipo & Niu, Yuguang & Pan, Tingting, 2015. "Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 132-140.

    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:phsmap:v:387:y:2008:i:1:p:303-313. 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.

    We have no bibliographic references for this item. You can help adding them by using 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/physica-a-statistical-mechpplications/ .

    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.