• DocumentCode
    404278
  • Title

    Robust stability of quasipolynomials: frequency-sweeping conditions

  • Author

    Chen, Jie ; Niculescu, Silviu-Iulian

  • Author_Institution
    Dept. of Electr. Eng., California Univ., Riverside, CA, USA
  • Volume
    5
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    5048
  • Abstract
    In this paper we study the robust stability independent of delay of some class of uncertain quasipolynomials, whose coefficients may vary in a certain prescribed range. Our main contributions include frequency-sweeping conditions for interval, diamond and spherical quasipolynomial families. The corresponding results provide necessary and sufficient conditions, and are easy to check, requiring only the computation of two simple frequency-dependent functions.
  • Keywords
    delays; frequency-domain analysis; polynomials; robust control; delays; diamond quasipolynomials; frequency dependent functions; frequency sweeping conditions; interval quasipolynomials; necessary conditions; robust stability; spherical quasipolynomials; sufficient conditions; uncertain quasipolynomials; Delay lines; Delay systems; Frequency domain analysis; Frequency measurement; Polynomials; Programmable control; Robust stability; Robustness; Testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1272434
  • Filename
    1272434