• DocumentCode
    3000713
  • Title

    The control dynamics of a loop in R2 and related differential game-theoretic problems

  • Author

    Lukes, D.L.

  • Author_Institution
    University of Virginia, Charlottesville, Virginia
  • fYear
    1972
  • fDate
    13-15 Dec. 1972
  • Firstpage
    350
  • Lastpage
    354
  • Abstract
    A distributed parameter model for a class of search and capture problems in the plane is derived. The output is a time-varying simple loop in R2 and the input a moving line segment. The applications discussed include destroyer search, oil spill clearance, forest fire control and fishing. Circular motion is shown to produce a non-trivial steady-state region whenever the velocity ratio between searcher and evader attains a computed critical value.
  • Keywords
    Fires; Petroleum; Steady-state;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1972 and 11th Symposium on Adaptive Processes. Proceedings of the 1972 IEEE Conference on
  • Conference_Location
    New Orleans, Louisiana, USA
  • Type

    conf

  • DOI
    10.1109/CDC.1972.269018
  • Filename
    4044941