• DocumentCode
    511624
  • Title

    On an eigenflow equation and its structure preserving properties

  • Author

    Ebenbauer, Christian ; Arsie, Alessandro

  • Author_Institution
    Inst. for Syst. Theor. & Autom. Control, Stuttgart Univ., Stuttgart, Germany
  • fYear
    2009
  • fDate
    15-18 Dec. 2009
  • Firstpage
    7491
  • Lastpage
    7496
  • Abstract
    The present work deals with a dynamical system of the form A¿ = [[N, AT+A], A]+¿[[AT, A], A], where A¿ is an n×n real matrix, N is constant n×n real matrix, [A, B] = AB-BA, and ¿ is a positive constant. In particular, the purpose of this work is to establish structure preserving properties of this dynamical system for tridiagonal, Hessenberg, and Hamiltonian matrices in combination with potential applications.
  • Keywords
    eigenvalues and eigenfunctions; matrix algebra; Hamiltonian matrices; constant real matrix; dynamical system; eigenflow equation; structure preserving properties; Algorithm design and analysis; Analog computers; Automatic control; Control systems; Eigenvalues and eigenfunctions; Equations; Geometry; Mathematics; Polynomials; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
  • Conference_Location
    Shanghai
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-3871-6
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2009.5400768
  • Filename
    5400768
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=511624