• DocumentCode
    2830333
  • Title

    Mathematical theory of nondeterministic fluctuations of systems

  • Author

    Horiuchi, Kazuo ; Iino, Riichi

  • Author_Institution
    Waseda Univ., Tokyo, Japan
  • fYear
    1991
  • fDate
    11-14 Jun 1991
  • Firstpage
    1105
  • Abstract
    Gives a mathematical theory based on the concept of Hausdorff´s ball measure, by representing a fixed point theorem for the set-valued mapping which describes such nondeterministic fluctuations of systems. From the standpoint of this functional analysis theory, methods based on the fixed point theorem for set-valued mappings are discussed for the analysis of nonlinear system fluctuations. Clear descriptions are given for the tolerability and quasitolerability of the system fluctuation
  • Keywords
    functional analysis; nonlinear systems; Hausdorff´s ball measure; fixed point theorem; functional analysis theory; nondeterministic fluctuations; nonlinear system; quasitolerability; set-valued mapping; tolerability; Equations; Fluctuations; Functional analysis; Nonlinear systems; Security; Signal design; Signal mapping; Stability analysis; System performance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1991., IEEE International Sympoisum on
  • Print_ISBN
    0-7803-0050-5
  • Type

    conf

  • DOI
    10.1109/ISCAS.1991.176559
  • Filename
    176559