• DocumentCode
    434592
  • Title

    Hidden variables in dissipative systems

  • Author

    Willems, Jan C.

  • Author_Institution
    K.U. Leuven, Belgium
  • Volume
    1
  • fYear
    2004
  • fDate
    17-17 Dec. 2004
  • Firstpage
    358
  • Abstract
    The relevance of hidden variables in dissipative systems is examined. A definition of a dissipative dynamical system is introduced in which the storage function does not need to be observable from the variables that enter into the supply rate. It is shown that a controllable system is dissipative if and only if it has an observable storage function, but that there are uncontrollable dissipative systems that do not have an observable storage function. Finally, we argue that unobservable storage functions are indispensable: they occur in physical systems, for example in electrical circuits and in Maxwell´s equations.
  • Keywords
    observability; time-varying systems; Maxwell equations; dissipative dynamical systems; electrical circuits; hidden variables; observable storage function; Circuits; Control systems; Controllability; Differential equations; Electric variables control; Maxwell equations; Observability; Process control; Signal analysis; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • Conference_Location
    Nassau
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1428655
  • Filename
    1428655