• DocumentCode
    814177
  • Title

    On the boundedness of a distributed parameter process with noisy boundary conditions

  • Author

    Yavin, Yaakov

  • Author_Institution
    University of the Negev, Beer-Sheva, Israel
  • Volume
    19
  • Issue
    2
  • fYear
    1974
  • fDate
    4/1/1974 12:00:00 AM
  • Firstpage
    164
  • Lastpage
    166
  • Abstract
    A distributed parameter process with noisy boundary conditions is considered. The noise acting on the system´s boundary is either a Gaussian white noise or a Poissonian type process. A Lyapunov type functional is defined on the sample functions of the distributed process, and sufficient conditions, for the ultimate boundedness of this functional, are derived.
  • Keywords
    Distributed systems, stochastic; Lyapunov methods; Boundary conditions; Diffusion processes; Eigenvalues and eigenfunctions; Equations; Gaussian noise; Heat engines; Microelectronics; Random processes; Stability; White noise;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1974.1100515
  • Filename
    1100515
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=814177