• DocumentCode
    3079437
  • Title

    Singular perturbations in linear control systems with constraints

  • Author

    Dontchev, A.L. ; Veliov, V.M.

  • Author_Institution
    Bulgarian Academy of Sciences Institute of Mathematics, Sofia, Bulgaria
  • fYear
    1986
  • fDate
    10-12 Dec. 1986
  • Firstpage
    1781
  • Lastpage
    1783
  • Abstract
    This paper is devoted to linear control systems with a small parameter in a part of the derivatives. The behavior of the set of trajectories and of the reachable set is considered when the small parameter tends to zero. We relax the usual asymptotic stability requirement for the subsystem that reduces. For some typical optimal control problem the continuity of the marginal function and the optimal controls is studied.
  • Keywords
    Control systems; Control theory; Differential equations; Eigenvalues and eigenfunctions; Large-scale systems; Mathematics; Numerical models; Optimal control; Tellurium; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1986 25th IEEE Conference on
  • Conference_Location
    Athens, Greece
  • Type

    conf

  • DOI
    10.1109/CDC.1986.267266
  • Filename
    4049093