• Title of article

    Different interpretations of the improper integral objective in an infinite horizon control problem

  • Author/Authors

    Valeriya Lykina، نويسنده , , Sabine Pickenhain، نويسنده , , Marcus Wagner، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2008
  • Pages
    13
  • From page
    498
  • To page
    510
  • Abstract
    We provide an example of a convex infinite horizon problem with a linear objective functional where the different interpretations of the improper integral ∞0 f (t, x(t), u(t)) dt in either Lebesgue or Riemann sense lead to different but finite optimal values. © 2007 Elsevier Inc. All rights reserved.
  • Keywords
    Improper Riemann integral , optimal control , Infinite horizon , Convex problem , Lebesgue integral
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2008
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    936760