• DocumentCode
    991226
  • Title

    A necessary and sufficient criterion for the stability of a convex set of matrices

  • Author

    Cohen, Nir ; Lewkowicz, Izchak

  • Author_Institution
    Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
  • Volume
    38
  • Issue
    4
  • fYear
    1993
  • fDate
    4/1/1993 12:00:00 AM
  • Firstpage
    611
  • Lastpage
    615
  • Abstract
    A Hurwitz stability criterion for the convex hull of two matrices, due to C.R. Johnson (1976), is generalized to the case of any compact convex set of matrices. It is shown that the same criterion is not available in the case of Schur stability
  • Keywords
    matrix algebra; set theory; stability criteria; Hurwitz stability criterion; compact convex set; convex hull; convex set; matrices; necessary and sufficient criterion; Control theory; Entropy; Information science; Linear approximation; Minerals; Notice of Violation; Optimal control; Petroleum; Robust stability; Stability criteria;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.250532
  • Filename
    250532