IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-11550-9_16.html
   My bibliography  Save this book chapter

Discontinuous Dynamical Systems

In: Analysis and Design of Nonlinear Control Systems

Author

Listed:
  • Daizhan Cheng

    (Chinese Academy of Sciences, Academy of Mathematics & Systems Science)

  • Xiaoming Hu

    (Royal Institute of Technology, Optimization and Systems Theory)

  • Tielong Shen

    (Sophia University, Department of Engineering and Applied Sciences)

Abstract

This chapter discusses analysis and design problems of discontinuous dynamic systems represented by differential equations with discontinuous right-hand side. After a brief review of discontinuous dynamic systems, which is summarized in Section 16.1, Filippov framework including solution and some analyzing tools for control system design is explained in Section 16.2. Furthermore, a feedback design problem is investigated in Section 16.3 for a class of nonlinear systems which have cascaded structure. Section 16.4 demonstrates an application example of stability analysis for PD controlled mechanical systems.

Suggested Citation

  • Daizhan Cheng & Xiaoming Hu & Tielong Shen, 2010. "Discontinuous Dynamical Systems," Springer Books, in: Analysis and Design of Nonlinear Control Systems, chapter 0, pages 509-532, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11550-9_16
    DOI: 10.1007/978-3-642-11550-9_16
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-642-11550-9_16. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.