• DocumentCode
    321355
  • Title

    Stability of optimal control systems

  • Author

    Eberhar, Rowena L.

  • Author_Institution
    Lockheed Martin Tactical Aircraft Syst., Fort Worth, TX, USA
  • Volume
    3
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    2644
  • Abstract
    The relationship between solution of the infinite horizon optimal control problem and the stability of the corresponding optimal control system is investigated. Under suitable assumptions about the Lagrangian, the well-known result that optimality of the control in conjunction with controllability of the system implies that the cost is finite is used to conclude that the closed loop optimal system is L(0,∞) 2 input-output stable. In the case where the system is also detectable and reachable, it is shown that L(0,∞)2 input-output stability implies internal stability
  • Keywords
    asymptotic stability; controllability; input-output stability; nonlinear control systems; optimal control; optimisation; controllability; infinite horizon optimal control; input-output stability; internal stability; optimal control systems; Aerospace control; Aircraft; Control systems; Controllability; Cost function; Infinite horizon; Lagrangian functions; Optimal control; Postal services; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.657779
  • Filename
    657779
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=321355