IDEAS home Printed from https://ideas.repec.org/a/taf/nmcmxx/v8y2002i4p377-396.html
   My bibliography  Save this article

Interconnections and Initial Conditions of Linear Systems With First-Order Representations

Author

Listed:
  • Kiyotsugu Takaba
  • Yutaka Ichihara

Abstract

This paper considers the initial value problem of an interconnection composed of linear systems described by the first-order differential/algebraic equations (DAEs). An initial condition of the system variable for which the DAE has a solution is called admissible. For the interconnected system, we formulate the invariance of the admissible initial condition sets (AICSs) of the sub-systems under interconnection. Namely, the AICSs are said to be invariant if they remain unchanged even when additional constraints due to interconnection are imposed on the system variables. It is shown that the feedback and regular feedback structures of the interconnection guarantee the invariance of the AICSs in the senses of impulsive-smooth distributions and smooth distributions, respectively. The results in this paper justify the use of a feedback controller in the control system design.

Suggested Citation

  • Kiyotsugu Takaba & Yutaka Ichihara, 2002. "Interconnections and Initial Conditions of Linear Systems With First-Order Representations," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 8(4), pages 377-396, December.
    • Handle: RePEc:taf:nmcmxx:v:8:y:2002:i:4:p:377-396
    DOI: 10.1076/mcmd.8.4.377.15851
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1076/mcmd.8.4.377.15851
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1076/mcmd.8.4.377.15851?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.

    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:nmcmxx:v:8:y:2002:i:4:p:377-396. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/NMCM20 .

    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.