• DocumentCode
    802298
  • Title

    On the solution of time-optimal control problems in the presence of quadratic constraints

  • Author

    Klafter, R.

  • Author_Institution
    Drexel University, Philadelphia, PA, USA
  • Volume
    15
  • Issue
    1
  • fYear
    1970
  • fDate
    2/1/1970 12:00:00 AM
  • Firstpage
    114
  • Lastpage
    115
  • Abstract
    It is shown that the minimization of \\parallel k \\parallel_{2} with respect to λ results in a set of m equations which are linear in ( m - 1 ) lambdas and nonlinear in the minimum time. These equations can also be obtained by satisfying the terminal conditions subject to the condition, \\lambda \\cdot e_{d} = 1 .
  • Keywords
    Linear systems; Time-optimal control; Automatic control; Boundary value problems; Costs; Dynamic programming; Feedback; Functional analysis; Nonlinear equations; Optimal control; Symmetric matrices; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1970.1099367
  • Filename
    1099367
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=802298