• DocumentCode
    855231
  • Title

    Stability of the second-order matrix polynomial

  • Author

    Shieh, Leang S. ; Mehio, Mohamad M. ; Dib, Hani M.

  • Author_Institution
    University of Houston, Houston, TX, USA
  • Volume
    32
  • Issue
    3
  • fYear
    1987
  • fDate
    3/1/1987 12:00:00 AM
  • Firstpage
    231
  • Lastpage
    233
  • Abstract
    This note summarizes some existing stability and instability conditions of the second-order matrix polynomial which arises in the formulation of classical mechanics, aerodynamics, and robotic systems. Also, some sufficient conditions for stability or instability of the second-order matrix polynomial are newly developed via the relevant linear matrix equation obtained from the Lyapunov theory.
  • Keywords
    Lyapunov matrix equations; Polynomial matrices; Stability, linear systems; Aerodynamics; Damping; Differential equations; Missiles; Polynomials; Robots; Stability; Sufficient conditions; Symmetric matrices; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1987.1104572
  • Filename
    1104572
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=855231