• DocumentCode
    2822745
  • Title

    Stability and controllability of planar, conewise linear systems

  • Author

    Arapostathis, Ari ; Broucke, Mireille E.

  • Author_Institution
    Univ. of Texas, Austin
  • fYear
    2007
  • fDate
    12-14 Dec. 2007
  • Firstpage
    6268
  • Lastpage
    6273
  • Abstract
    This paper presents a fairly complete treatment of stability and controllability of piecewise-linear systems defined on a conic partition of R2. This includes necessary and sufficient conditions for stability and controllability, as well as establishing that controllability implies stabilizability by piecewise-linear state feedback. A key tool in the approach is the study of the Poincare map.
  • Keywords
    Poincare mapping; controllability; eigenvalues and eigenfunctions; linear systems; piecewise linear techniques; stability; state feedback; Poincare map; algebraic expressions; conic partition; controllability; eigenvalues; piecewise-linear state feedback; planar conewise linear systems; stability; Control systems; Controllability; Linear systems; Piecewise linear techniques; Stability; State feedback; Sufficient conditions; Trajectory; Transmission line matrix methods; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2007 46th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-1497-0
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2007.4434511
  • Filename
    4434511
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2822745