IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4614-2281-5_3.html
   My bibliography  Save this book chapter

Linear System Theory

In: Discrete-Time Linear Systems

Author

Listed:
  • Guoxiang Gu

    (Louisiana State University, Department of Electrical and Computer Engineering)

Abstract

Linear system theory is the central part of this book. It is developed for state-space models and centered right at the intrinsic structural properties of linear systems in relation to their inputs and outputs. This chapter examines basic issues such as realization, observation, and control. It studies system structures from inputs to state vectors and from state vectors to outputs via rigorous mathematical analysis. However it is the conceptual notions of reachability, observability, stabilizability, and detectability that are at the heart of the linear system theory and are the central theme of this chapter. These fundamental concepts empower not only our insight to minimal realization, but also to optimal estimation and control to be investigated in a later chapter. Moreover Lyapunov stability, i.e., asymptotic stability and linear feedback stabilization are developed based on these concepts. Both numerical tool and illustrative examples are presented.

Suggested Citation

  • Guoxiang Gu, 2012. "Linear System Theory," Springer Books, in: Discrete-Time Linear Systems, edition 127, chapter 0, pages 67-124, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-2281-5_3
    DOI: 10.1007/978-1-4614-2281-5_3
    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:978-1-4614-2281-5_3. 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.