• DocumentCode
    811121
  • Title

    Upper Bounds for Induced Operator Norms of Nonlinear Systems

  • Author

    Zahedzadeh, Vahid ; Marquez, Horacio Jose ; Chen, Tongwen

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB
  • Volume
    54
  • Issue
    5
  • fYear
    2009
  • fDate
    5/1/2009 12:00:00 AM
  • Firstpage
    1159
  • Lastpage
    1165
  • Abstract
    In this technical note, new methods are proposed to compute upper bounds on the L 1 , L 2 and L infin induced operator norms of continuous-time nonlinear systems. These methods are based on the so-called zetaA representation of nonlinear systems, which was introduced earlier by the authors. Examples are provided in order to show the applicability of our approach. Moreover, a weighting technique is suggested to improve the upper bounds.
  • Keywords
    continuous time systems; nonlinear control systems; computational techniques; continuous-time nonlinear systems; induced operator norms; Attenuation measurement; Control systems; Councils; Linear systems; Lyapunov method; Nonlinear systems; Optimization methods; Reactive power; Stability; System testing; Upper bound; Continuous-time systems; induced operator norms; nonlinear systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2009.2017813
  • Filename
    4908925
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=811121