IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v45y2014i5p970-976.html
   My bibliography  Save this article

The global convergence analysis of a class of nonlinear network systems

Author

Listed:
  • Xinjin Liu
  • Yun Zou

Abstract

In this paper, the global convergence for a class of nonlinear network systems with multiple equilibriums was studied, which can be viewed as interconnected systems composed of nonlinear systems through linear input and output interconnections. Frequency-domain conditions were established for global convergence and convergence of bounded solutions. The effects of the input and output interconnections can be studied through a nonsingular inner coupling matrix and nonzero scales, representing the interconnection, which takes values according to the eigenvalues of the nonsingular outer coupling matrix. Then, the design method based on linear matrix inequality was presented by using the KYP Lemma and Schur complement.

Suggested Citation

  • Xinjin Liu & Yun Zou, 2014. "The global convergence analysis of a class of nonlinear network systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 970-976, May.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:970-976
    DOI: 10.1080/00207721.2012.743055
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2012.743055
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2012.743055?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. Ching-Hung Lee & Bo-Ren Chung, 2012. "Adaptive backstepping controller design for nonlinear uncertain systems using fuzzy neural systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(10), pages 1855-1869.
    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. Yan-Si Lin & Chih-Chiang Cheng, 2016. "Design of block backstepping controllers for a class of perturbed multiple inputs and state-delayed systems in semi-strict-feedback form," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1296-1311, April.
    2. Yongming Li & Shaocheng Tong, 2016. "Adaptive fuzzy switched control design for uncertain nonholonomic systems with input nonsmooth constraint," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(14), pages 3436-3446, October.
    3. Tarek Abedin & M. Shahadat Hossain Lipu & Mahammad A. Hannan & Pin Jern Ker & Safwan A. Rahman & Chong Tak Yaw & Sieh K. Tiong & Kashem M. Muttaqi, 2021. "Dynamic Modeling of HVDC for Power System Stability Assessment: A Review, Issues, and Recommendations," Energies, MDPI, vol. 14(16), pages 1-25, August.

    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:taf:tsysxx:v:45:y:2014:i:5:p:970-976. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.