• DocumentCode
    966505
  • Title

    Strict aperiodic property of polynomials with perturbed coefficients

  • Author

    Soh, C.B. ; Berger, C.S.

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore
  • Volume
    34
  • Issue
    5
  • fYear
    1989
  • fDate
    5/1/1989 12:00:00 AM
  • Firstpage
    546
  • Lastpage
    548
  • Abstract
    Let a family of polynomials be P(s)=t 0sn+t1s n±1 + . . . + tn where 0<aj⩽tj⩽b j. V.L. Kharitonov (1978) derived a necessary and sufficient condition for the above equation to have only zeros in the open left-half plane. The present authors derive some similar results for the equation to be strictly aperiodic (distinct real roots)
  • Keywords
    poles and zeros; polynomials; necessary condition; perturbed coefficients; polynomials; strict aperiodic property; sufficient condition; Asymptotic stability; Combinatorial mathematics; Differential equations; Explosions; Polynomials; Robust stability; Stability analysis; Stability criteria; Sufficient conditions; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.24211
  • Filename
    24211