• DocumentCode
    883717
  • Title

    A Partial Solution of the Aizerman Problem for Second-Order Systems With Delays

  • Author

    Altshuller, Dmitry A.

  • Author_Institution
    Crane Aerosp. & Electron., Burbank, CA
  • Volume
    53
  • Issue
    9
  • fYear
    2008
  • Firstpage
    2158
  • Lastpage
    2160
  • Abstract
    This paper considers the Aizerman problem for second-order systems with delays. It is proved that for retarded systems with a single delay the Aizerman conjecture is true. For systems with multiple delays, a delay-dependent class of systems is found, for which the Aizerman conjecture is true. The proof is based on the Popov´s frequency-domain criterion for absolute stability.
  • Keywords
    Popov criterion; absolute stability; delays; frequency-domain analysis; Aizerman conjecture; Popov frequency-domain criterion; absolute stability; delay-dependent class; multiple delay; retarded system; second-order system; single delay; Aerospace electronics; Asymptotic stability; Cranes; Delay systems; H infinity control; History; Nonlinear equations; Stability criteria; Sufficient conditions; Transfer functions; Absolute stability; Aizerman problem; delay systems; frequency-domain methods;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2008.930193
  • Filename
    4639439
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=883717