• DocumentCode
    3850208
  • Title

    Common Lyapunov Functions for Some Special Classes of Stable Systems

  • Author

    Taner Buyukkoroglu;Özlem Esen;Vakif Dzhafarov

  • Author_Institution
    Department of Mathematics, Faculty of Science, Anadolu University, Eskisehir, Turkey
  • Volume
    56
  • Issue
    8
  • fYear
    2011
  • Firstpage
    1963
  • Lastpage
    1967
  • Abstract
    In this work we consider the problem of existence and determination of a common positive definite solution (common quadratic Lyapunov function) to a set of Lyapunov matrix inequalities. We investigate a parameterized matrix family and a compact (in particular finite) set of 2 × 2 matrices.
  • Keywords
    "Lyapunov methods","Linear matrix inequalities","Eigenvalues and eigenfunctions","Switches","Stability criteria","Polynomials","Linear systems"
  • Journal_Title
    IEEE Transactions on Automatic Control
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2011.2137510
  • Filename
    5742684
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3850208