IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v273y2016icp1234-1245.html
   My bibliography  Save this article

Consensus seeking over Markovian switching networks with time-varying delays and uncertain topologies

Author

Listed:
  • Shang, Yilun

Abstract

Stochastic consensus problems for linear time-invariant multi-agent systems over Markovian switching networks with time-varying delays and topology uncertainties are dealt with. By using the linear matrix inequality method and the stability theory of Markovian jump linear system, we show that consensus can be achieved for appropriate time delays and topology uncertainties which are not caused by the Markov process, provided the union of topologies associated with the positive recurrent states of the Markov process admits a spanning tree and the agent dynamics is stabilizable. Feasible linear matrix inequalities are established to determine the maximal allowable upper bound of time-varying delays. Numerical examples are given to show the feasibility of theoretical results.

Suggested Citation

  • Shang, Yilun, 2016. "Consensus seeking over Markovian switching networks with time-varying delays and uncertain topologies," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 1234-1245.
  • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:1234-1245
    DOI: 10.1016/j.amc.2015.08.115
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315011960
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2015.08.115?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. Yunpeng Wang & Long Cheng & Zeng-Guang Hou & Min Tan & Chao Zhou & Ming Wang, 2015. "Consensus seeking in a network of discrete-time linear agents with communication noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1874-1888, July.
    2. Guoying Miao & Shengyuan Xu & Yun Zou, 2013. "Necessary and sufficient conditions for mean square consensus under Markov switching topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 178-186.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Zhao, Lin & Yu, Jinpeng & Lin, Chong & Yu, Haisheng, 2017. "Distributed adaptive fixed-time consensus tracking for second-order multi-agent systems using modified terminal sliding mode," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 23-35.
    2. María Jesús García-Ligero & Aurora Hermoso-Carazo & Josefa Linares-Pérez, 2022. "Distributed Fusion Estimation in Network Systems Subject to Random Delays and Deception Attacks," Mathematics, MDPI, vol. 10(4), pages 1-17, February.
    3. María Jesús García-Ligero & Aurora Hermoso-Carazo & Josefa Linares-Pérez, 2020. "Distributed Fusion Estimation with Sensor Gain Degradation and Markovian Delays," Mathematics, MDPI, vol. 8(11), pages 1-19, November.
    4. Ismi Rosyiana Fitri & Jung-Su Kim, 2020. "A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets," Mathematics, MDPI, vol. 8(11), pages 1-15, November.
    5. Zhao, Lin & Jia, Yingmin & Yu, Jinpeng & Du, Junping, 2017. "H∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 375-389.
    6. Cheng-Yu Tang & Jun-Ting Lin, 2019. "Bidirectional Power Flow Control of a Multi Input Converter for Energy Storage System," Energies, MDPI, vol. 12(19), pages 1-16, September.
    7. Li, Hongjie & Zhu, Yinglian & jing, Liu & ying, Wang, 2018. "Consensus of second-order delayed nonlinear multi-agent systems via node-based distributed adaptive completely intermittent protocols," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 1-15.

    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. Dmitry Vengertsev & Hongkeun Kim & Jin Heon Seo & Hyungbo Shim, 2015. "Consensus of output-coupled high-order linear multi-agent systems under deterministic and Markovian switching networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1790-1799, July.
    2. Kun Deng & Dayu Huang, 2015. "Optimal Kullback–Leibler approximation of Markov chains via nuclear norm regularisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 2029-2047, August.
    3. Yilun Shang, 2015. "Group consensus of multi-agent systems in directed networks with noises and time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(14), pages 2481-2492, October.
    4. Zhihai Wu & Li Peng & Linbo Xie & Jiwei Wen, 2015. "Stochastic bounded consensus tracking of second-order multi-agent systems with measurement noises based on sampled-data with general sampling delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(3), pages 546-561, February.

    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:apmaco:v:273:y:2016:i:c:p:1234-1245. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.