• DocumentCode
    809409
  • Title

    Reachable sets and singular arcs for minimum fuel problems based on norm-invariant systems

  • Author

    Katz, Philip L.

  • Author_Institution
    University of Illinois at Chicago Circle, Chicago, IL, USA
  • Volume
    17
  • Issue
    4
  • fYear
    1972
  • fDate
    8/1/1972 12:00:00 AM
  • Firstpage
    557
  • Lastpage
    559
  • Abstract
    A class of norm-invariant systems with an added fuel coordinate is shown to have easily described reachable sets. A class of minimum fuel problems defined on such systems, having a solution that follows from Athans and Falb [1], is shown to contain singular arcs.
  • Keywords
    Fuel-optimal control; Nonlinear systems, continuous-time; Singular optimal control; Control systems; Costs; Differential equations; Fuels; Nonlinear systems; Optimal control; Time measurement;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1100051
  • Filename
    1100051
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=809409