IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v258y2015icp138-154.html
   My bibliography  Save this article

Decentralized finite-time H∞ filtering for interconnected Markovian jump system with interval mode-dependent delays

Author

Listed:
  • Chen, Zhaohui
  • Huang, Qi
  • Liu, Zhang

Abstract

This paper concerns with the problem of finite-time H∞ filtering for a class of interconnected Markovian jump system with mode-dependent delays in the interconnection. Sufficient conditions guaranteeing the interconnected Markovian jump systems to be finite-time bounded are established by constructing an augmented Lyapunov–Krasovskii functional. The obtained conditions are delay-range-dependent and mode-dependent. Based on the results, the decentralized filter is proposed to guarantee the finite-time bounded and H∞ performance of the resulting augmented system for admissible disturbances. The desired filter parameters can be obtained via solving a group of linear matrix inequalities (LMIs). Finally, a numerical example is employed to illustrate the effectiveness of the proposed methods.

Suggested Citation

  • Chen, Zhaohui & Huang, Qi & Liu, Zhang, 2015. "Decentralized finite-time H∞ filtering for interconnected Markovian jump system with interval mode-dependent delays," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 138-154.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:138-154
    DOI: 10.1016/j.amc.2015.01.065
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315000971
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.01.065?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. M. S. Mahmoud, 2009. "Decentralized Reliable Control of Interconnected Systems with Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 497-518, December.
    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. Wenhai Qi & Yonggui Kao & Xianwen Gao, 2017. "Further results on finite-time stabilisation for stochastic Markovian jump systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 2967-2975, October.

    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. Y. Y. Wang & P. F. Zhou & Q. B. Wang & D. P. Duan, 2014. "State Estimation and Reliable Control of Singular Markovian Systems with Distributed State Delays and Input Delays," Journal of Optimization Theory and Applications, Springer, vol. 162(1), pages 313-328, July.
    2. Tri Tran & Q. P. Ha, 2014. "Decentralized Model Predictive Control for Networks of Linear Systems with Coupling Delay," Journal of Optimization Theory and Applications, Springer, vol. 161(3), pages 933-950, June.

    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:258:y:2015:i:c:p:138-154. 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.