IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n524028.html

Passivity Analysis and Passive Control for T‐S Fuzzy Systems with Leakage Delay and Mixed Time‐Varying Delays

Author

Listed:
  • Ting Lei
  • Zengshun Chen
  • Qiankun Song
  • Zhenjiang Zhao

Abstract

The passivity and passification for Takagi‐Sugeno (T‐S) fuzzy systems with leakage delay and both discrete and distributed time‐varying delays are investigated. By employing the Lyapunov functional method and using the matrix inequality techniques, several delay‐dependent criteria to ensure the passivity and passification of the considered T‐S fuzzy systems are established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software. The obtained results generalize some previous results. Two examples are given to show the effectiveness of the proposed criteria.

Suggested Citation

  • Ting Lei & Zengshun Chen & Qiankun Song & Zhenjiang Zhao, 2013. "Passivity Analysis and Passive Control for T‐S Fuzzy Systems with Leakage Delay and Mixed Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:524028
    DOI: 10.1155/2013/524028
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/524028
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/524028?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. Park, Ju H., 2007. "Further results on passivity analysis of delayed cellular neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1546-1551.
    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. P. Balasubramaniam & G. Nagamani, 2011. "Global Robust Passivity Analysis for Stochastic Interval Neural Networks with Interval Time-Varying Delays and Markovian Jumping Parameters," Journal of Optimization Theory and Applications, Springer, vol. 149(1), pages 197-215, April.
    2. Rihan, F.A. & Abdel Rahman, D.H. & Lakshmanan, S. & Alkhajeh, A.S., 2014. "A time delay model of tumour–immune system interactions: Global dynamics, parameter estimation, sensitivity analysis," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 606-623.
    3. Singh, Vimal, 2009. "Novel global robust stability criterion for neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 348-353.
    4. Ye, Zhiyong & Ji, Huihui & Zhang, He, 2016. "Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 147-157.

    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:wly:jnlaaa:v:2013:y:2013:i:1:n:524028. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.