• DocumentCode
    824728
  • Title

    The derivative of the exponential matrix with respect to a matrix

  • Author

    Brewer, J.W.

  • Author_Institution
    University of California, Davis, CA, USA
  • Volume
    22
  • Issue
    4
  • fYear
    1977
  • fDate
    8/1/1977 12:00:00 AM
  • Firstpage
    656
  • Lastpage
    657
  • Abstract
    The gradient matrix and its extensions have been useful tools in estimation theory [1], [3], [6]. Vetter developed the generalization to matrix-valued functions [4], [8]. Vetter´s theory is extended here to include the differentiation of the exponential of a matrix function.
  • Keywords
    Differentiation; Gradient methods; Matrix functions; Algebra; Calculus; Eigenvalues and eigenfunctions; Estimation theory; Linear systems; Mechanical engineering; Reduced order systems; Riccati equations; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1977.1101576
  • Filename
    1101576
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=824728