• DocumentCode
    1017788
  • Title

    An exact stability analysis test for single-parameter polynomially-dependent linear systems

  • Author

    Tsiotras, P. ; Bliman, P.-A.

  • Author_Institution
    Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    51
  • Issue
    7
  • fYear
    2006
  • fDate
    7/1/2006 12:00:00 AM
  • Firstpage
    1161
  • Lastpage
    1164
  • Abstract
    We provide a new condition for testing the stability of a single-parameter, polynomially-dependent linear system of polynomial degree N of the form x˙=A(ρ)x, A(ρ)=Σi=0Nρi Ai (1) over a compact interval. The test is nonconservative and can be cast as a convex feasibility problem in terms of a pair of linear matrix inequalities (LMIs).
  • Keywords
    distributed parameter systems; linear matrix inequalities; linear systems; polynomials; stability; convex feasibility problem; linear matrix inequalities; single-parameter polynomially-dependent linear systems; stability analysis; Linear matrix inequalities; Linear systems; Lyapunov method; Polynomials; Robust stability; Springs; Stability analysis; Sufficient conditions; System testing; Upper bound; Linear matrix inequalities (LMIs); parameter-dependent systems; robust stability;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2006.878773
  • Filename
    1652877
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1017788