• DocumentCode
    2184088
  • Title

    Some results on L1-performance for nonlinear systems

  • Author

    Hao, Fei ; Chu, Tianguang ; Huang, Lin

  • Author_Institution
    Center for Syst. & Control, Peking Univ., Beijing, China
  • Volume
    4
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    3421
  • Abstract
    The L1-performance analysis of nonlinear systems is discussed using the theory of positively invariant sets and the set-valued analysis. The main result of the paper shows that the L1 performance cost of a nonlinear continuous-time system is upper bounded by the L1 performance cost of its Euler approximating discrete-time system (EAS). Another result shows that the optimal L1 performance cost of a continuous-time system can be arbitrarily closed by the L1 performance cost of its EAS
  • Keywords
    closed loop systems; continuous time systems; control system analysis; discrete time systems; feedback; nonlinear systems; optimal control; Euler approximating system; closed-loop system; continuous-time system; discrete-time system; feedback; nonlinear systems; optimal control; performance analysis; positively invariant sets; set-valued analysis; Control systems; Costs; Nonlinear systems; Performance analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-7061-9
  • Type

    conf

  • DOI
    10.1109/.2001.980386
  • Filename
    980386
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2184088