• DocumentCode
    2970091
  • Title

    The minimal dimension of stable faces required to guarantee stability of a matrix polytope: D-stability

  • Author

    Cobb, J.Daniel

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
  • fYear
    1988
  • fDate
    7-9 Dec 1988
  • Firstpage
    119
  • Abstract
    The author considers the problem of determining whether a polytope P of n×n matrices is D-stable, i.e. whether each point in P has all its eigenvalues in a given nonempty, open, convex, conjugate-symmetric subset D of the complex plane. The approach used is to check D-stability of certain faces of P. In particular, for each D and n the author determines the smallest integer m such that D-stability of every m-dimensional face guarantees D-stability of P
  • Keywords
    matrix algebra; stability; D-stability; eigenvalues; m-dimensional face; matrix algebra; matrix polytope; stable faces; Drives; Eigenvalues and eigenfunctions; Linear systems; Polynomials; Robust control; Stability; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
  • Conference_Location
    Austin, TX
  • Type

    conf

  • DOI
    10.1109/CDC.1988.194280
  • Filename
    194280
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2970091