• DocumentCode
    1465282
  • Title

    Characterization and Stability of Autonomous Positive Descriptor Systems

  • Author

    Rami, M.A. ; Napp, D.

  • Author_Institution
    Dept. de Ing. de Sist. y Autom., Univ. of Valladolid, Valladolid, Spain
  • Volume
    57
  • Issue
    10
  • fYear
    2012
  • Firstpage
    2668
  • Lastpage
    2673
  • Abstract
    This note addresses two problems: the characterization of positivity of autonomous descriptor systems and the problem of finding conditions for their stability. For these fundamental issues, we provide necessary and sufficient conditions complemented with a numerically reliable computational approach. The given conditions can be checked by means of linear programming (LP). Also, we derive a necessary and sufficient condition for stability that is connected to the underlying eigenstructure of the system.
  • Keywords
    linear programming; stability; vocabulary; Stability stability; autonomous positive descriptor systems; linear programming; numerically reliable computational approach; Eigenvalues and eigenfunctions; Equations; Kernel; Linear matrix inequalities; Linear systems; Stability analysis; Stress;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2012.2190211
  • Filename
    6165648
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1465282