• DocumentCode
    3743784
  • Title

    Riemannian trust-region methods for H2 optimal model reduction

  • Author

    Hiroyuki Sato;Kazuhiro Sato

  • Author_Institution
    Department of Management Science, Tokyo University of Science, Japan
  • fYear
    2015
  • Firstpage
    4648
  • Lastpage
    4655
  • Abstract
    In this paper, the Riemannian trust-region method for the H2 optimal model reduction problem is proposed. The problem is regarded as optimization problems on the Stiefel and Grassmann manifolds and several geometric quantities of the problems are discussed to develop the Riemannian trust-region method. Numerical experiments show that the proposed methods can solve the H2 optimal model reduction problem effectively.
  • Keywords
    "Manifolds","Optimization","Reduced order systems","Linear programming","Yttrium","Geometry","Mathematical model"
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
  • Type

    conf

  • DOI
    10.1109/CDC.2015.7402944
  • Filename
    7402944
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3743784