• DocumentCode
    114824
  • Title

    Modified balanced truncation preserving ellipsoidal cone-invariance

  • Author

    Grussler, Christian ; Rantzer, Anders

  • Author_Institution
    Dept. of Autom. Control, Lund Univ., Lund, Sweden
  • fYear
    2014
  • fDate
    15-17 Dec. 2014
  • Firstpage
    2365
  • Lastpage
    2370
  • Abstract
    We consider model order reduction of stable linear systems which leave ellipsoidal cones invariant. We show how balanced truncation can be modified to preserve cone-invariance. Additionally, this implies a method to perform external positivity preserving model reduction for a large class of systems.
  • Keywords
    linear systems; stability; balanced truncation; ellipsoidal cone-invariance; linear system stability; model order reduction; Eigenvalues and eigenfunctions; Equations; Linear systems; Mathematical model; Reduced order systems; Standards; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2014 IEEE 53rd Annual Conference on
  • Conference_Location
    Los Angeles, CA
  • Print_ISBN
    978-1-4799-7746-8
  • Type

    conf

  • DOI
    10.1109/CDC.2014.7039749
  • Filename
    7039749