• DocumentCode
    882953
  • Title

    On the existence and uniqueness of solutions in adaptive control systems

  • Author

    Polycarpou, Marios M. ; Ioannou, Petor A.

  • Volume
    38
  • Issue
    3
  • fYear
    1993
  • fDate
    3/1/1993 12:00:00 AM
  • Firstpage
    474
  • Lastpage
    479
  • Abstract
    The issue of existence and uniqueness of solutions, which arises in the analysis of adaptive control systems, is investigated. Sufficient conditions that guarantee existence and uniqueness in positive time of solutions to differential equations describing a wide class of adaptive schemes are given. The concept of Filippov´s solution is introduced as a method of dealing with discontinuous adaptive systems
  • Keywords
    adaptive control; control system analysis; differential equations; Filippov´s solution; adaptive control systems; control system analysis; differential equations; discontinuous systems; existence; sufficient conditions; uniqueness; Adaptive control; Adaptive systems; Control system analysis; Differential equations; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.210149
  • Filename
    210149