IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v39y2009i1p182-187.html
   My bibliography  Save this article

On the C(R) stability of uncertain singularly perturbed systems

Author

Listed:
  • Sun, Yeong-Jeu

Abstract

In this paper, a simple criterion for the C(R) stability of uncertain singularly perturbed systems is proposed. Such a criterion can be easily checked by some algebraic inequality. The upper bound of the singular perturbation parameter ε is also given by estimating the unique positive zero of specific function. Finally, a numerical example is provided to illustrate the main result.

Suggested Citation

  • Sun, Yeong-Jeu, 2009. "On the C(R) stability of uncertain singularly perturbed systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 182-187.
  • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:182-187
    DOI: 10.1016/j.chaos.2007.01.117
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007790700241X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2007.01.117?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. Chen, Xianfeng & Yu, Pei & Han, Maoan & Zhang, Weijiang, 2005. "Canard solutions of two-dimensional singularly perturbed systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 915-927.
    2. Liu, Xingwen & Zhang, Hongbin, 2005. "New stability criterion of uncertain systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1343-1348.
    3. Chen, Heng-Hui, 2006. "Stability and chaotic dynamics of a perturbed rate gyro," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 822-835.
    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. Tian, Junkang & Xiong, Lianglin & Liu, Jianxing & Xie, Xiangjun, 2009. "Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1858-1866.
    2. Yan, Huaicheng & Huang, Xinhan & Wang, Min & Zhang, Hao, 2007. "Delay-dependent stability criteria for a class of networked control systems with multi-input and multi-output," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 997-1005.
    3. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "New robust stability condition for uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1073-1079.
    4. Lien, Chang-Hua, 2007. "Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 889-899.
    5. Zhang, Jinhui & Shi, Peng & Qiu, Jiqing, 2008. "Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 160-167.
    6. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "Novel robust stability criteria of uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 771-777.
    7. Yan, Huaicheng & Huang, Xinhan & Zhang, Hao & Wang, Min, 2009. "Delay-dependent robust stability criteria of uncertain stochastic systems with time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1668-1679.
    8. Zhong, Qishui & Bao, Jingfu & Yu, Yongbin & Liao, Xiaofeng, 2009. "Exponential stabilization for discrete Takagi–Sugeno fuzzy systems via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2123-2127.
    9. Liu, Duyu & Zhong, Shouming & Xiong, Lianglin, 2009. "On robust stability of uncertain neutral systems with multiple delays," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2332-2339.
    10. Yan, Huaicheng & Huang, Xinhan & Wang, Min & Zhang, Hao, 2008. "New delay-dependent stability criteria of uncertain linear systems with multiple time-varying state delays," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 157-165.
    11. Ye, Zhiyong & Han, Maoan, 2006. "Singular limit cycle bifurcations to closed orbits and invariant tori," Chaos, Solitons & Fractals, Elsevier, vol. 27(3), pages 758-767.

    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:eee:chsofr:v:39:y:2009:i:1:p:182-187. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.