• DocumentCode
    859919
  • Title

    Stability of systems with randomly time-varying parameters

  • Author

    Bergen, A.R.

  • Author_Institution
    University of California, Berkeley, CA, USA
  • Volume
    5
  • Issue
    4
  • fYear
    1960
  • fDate
    9/1/1960 12:00:00 AM
  • Firstpage
    265
  • Lastpage
    269
  • Abstract
    The stability of a system which alternates between stable and unstable configurations at random times may be investigated conveniently using Kronecker products. The system is stable with probability one if, and only if, all the eigenvalues of a specified matrix lie within the unit circle. If stability in the presence of a parameter adjustment is to be investigated, a root-locus plot of the eigenvalues is convenient.
  • Keywords
    Circuit faults; Control systems; Convergence; Eigenvalues and eigenfunctions; Linear systems; Probability; Random variables; Stability; Switches; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IRE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-199X
  • Type

    jour

  • DOI
    10.1109/TAC.1960.1105035
  • Filename
    1105035
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=859919