• DocumentCode
    3193360
  • 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
    2
  • fYear
    2004
  • fDate
    14-17 Dec. 2004
  • Firstpage
    1337
  • Abstract
    We provide a 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) = Σ i=0NρiAi 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
    linear matrix inequalities; linear systems; polynomials; stability; compact interval; convex feasibility; exact stability analysis test; linear matrix inequalities; single-parameter polynomially-dependent linear systems; Aerospace engineering; Linear matrix inequalities; Linear systems; Lyapunov method; Matrix decomposition; Polynomials; Stability analysis; Sufficient conditions; System testing; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1430228
  • Filename
    1430228
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3193360