• DocumentCode
    391142
  • Title

    An IQC characterization of decentralized Lyapunov functions in spatially invariant arrays

  • Author

    De Castro, Gustavo Ayres ; Paganini, Fernando

  • Author_Institution
    Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
  • Volume
    1
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    563
  • Abstract
    We derive state-space integral quadratic constraints (IQC) equivalent to global performance criteria for a spatially invariant array of systems. We first show that a local IQC is equivalent to global stability with a decentralized Lyapunov function. Then, we show the equivalence between a local state-space IQC and a global H norm bound.
  • Keywords
    Lyapunov matrix equations; decentralised control; linear systems; time-varying systems; decentralized Lyapunov functions; global H norm bound; global performance criteria; global stability; spatially invariant arrays; state-space integral quadratic constraints; Algebra; Control system synthesis; Control systems; Lyapunov method; Paper making machines; Robust stability; State-space methods; Vehicles;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184557
  • Filename
    1184557