• DocumentCode
    827395
  • Title

    A simple derivation of the gradient conditions for optimal constant output feedback gains

  • Author

    Hutcheson, W.J.

  • Author_Institution
    Imperial College of Science and Technology, London, England
  • Volume
    23
  • Issue
    5
  • fYear
    1978
  • fDate
    10/1/1978 12:00:00 AM
  • Firstpage
    937
  • Lastpage
    938
  • Abstract
    A simple and direct derivation of necessary conditions for optimality of output feedback gains for a linear time-invariant system is presented. The dependence of the cost on the initial state x(0) is eliminated by the well-known technique of averaging the initial state over the surface of the n -dimensional unit sphere.
  • Keywords
    Linear systems, time-invariant continuous-time; Optimal control; Output feedback; Algebra; Calculus; Cost function; Differential equations; Education; Eigenvalues and eigenfunctions; Iron; Lagrangian functions; Output feedback; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1978.1101846
  • Filename
    1101846
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=827395