• DocumentCode
    2865803
  • Title

    Maximum singular value and power of an interval matrix

  • Author

    Ahn, Hyo-Sung ; Chen, YangQuan ; Moore, Kevin L.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Utah State Univ., Logan, UT
  • fYear
    2006
  • fDate
    25-28 June 2006
  • Firstpage
    678
  • Lastpage
    683
  • Abstract
    In this paper we provide solutions for the problems of finding the maximum singular value of an interval matrix and computing the power of an interval matrix at a specified order. First, to calculate the exact value of the maximum singular value of an interval matrix we make use of a solution to finding the eigenvalues of a symmetric interval matrix. Second, we use a sensitivity transfer method to prove that the power of an interval matrix can be found from a set of vertex matrices
  • Keywords
    maximum principle; robust control; singular value decomposition; uncertain systems; eigenvalues; maximum singular value; sensitivity transfer method; symmetric interval matrix; Artificial intelligence; Automation; Eigenvalues and eigenfunctions; Intelligent systems; Mechatronics; Power engineering and energy; Power engineering computing; Stability; Symmetric matrices; Uncertain systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mechatronics and Automation, Proceedings of the 2006 IEEE International Conference on
  • Conference_Location
    Luoyang, Henan
  • Print_ISBN
    1-4244-0465-7
  • Electronic_ISBN
    1-4244-0466-5
  • Type

    conf

  • DOI
    10.1109/ICMA.2006.257671
  • Filename
    4026165