• DocumentCode
    824461
  • Title

    Applicability of the Lagrange multiplier method to the optimization of quadratic systems

  • Author

    Malinowski, Krzysztof B.

  • Author_Institution
    Technical University of Warsaw, Warsaw, Poland
  • Volume
    22
  • Issue
    4
  • fYear
    1977
  • fDate
    8/1/1977 12:00:00 AM
  • Firstpage
    648
  • Lastpage
    651
  • Abstract
    Conditions under which the Lagrange multiplier method (LMM) can be applied to optimization of the class of quadratic systems are considered. It is shown that quadratic systems can be optimised by LMM under rather general, and to some extent constructive, assumptions. The applicability of the results is illustrated with examples.
  • Keywords
    Nonlinear algebraic equations; Nonlinear systems; Optimization methods; Control theory; Gradient methods; Hilbert space; Lagrangian functions; Large-scale systems; Optimal control; Optimization methods; Performance analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1977.1101546
  • Filename
    1101546
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=824461