• DocumentCode
    1265158
  • Title

    On the existence of Caratheodory solutions in mechanical systems with friction

  • Author

    Kim, Seung-Jean ; Ha, In-Joong

  • Author_Institution
    Sch. of Electr. Eng., Seoul Nat. Univ., South Korea
  • Volume
    44
  • Issue
    11
  • fYear
    1999
  • fDate
    11/1/1999 12:00:00 AM
  • Firstpage
    2086
  • Lastpage
    2089
  • Abstract
    It is shown that the differential equation with discontinuous right-hand side, which describes the dynamic behavior of a mechanical system with friction, has a Caratheodory solution. This result supports theoretically the prior work on the control of mechanical systems with friction, which assumes the existence of Caratheodory solutions without proof
  • Keywords
    closed loop systems; differential equations; force control; stiction; Caratheodory solutions; discontinuous right-hand side; dynamic behavior; mechanical systems; Adaptive control; Adaptive systems; Control systems; Differential equations; Force control; Friction; Mechanical systems; Mechanical variables control; Programmable control; Variable structure systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.802921
  • Filename
    802921