• DocumentCode
    300658
  • Title

    A proof of stability of all-pass Pade approximants to e-s

  • Author

    Hwang, Chyi ; Lee, Ying-Chin

  • Author_Institution
    Dept. of Chem. Eng., Nat. Chung Cheng Univ., Chia-Yi, Taiwan
  • Volume
    5
  • fYear
    1995
  • fDate
    21-23 Jun 1995
  • Firstpage
    3039
  • Abstract
    This paper presents an explicit derivation of the all-pass Routh approximants to e-s. It then shows that the stable all-pass Routh approximants to e-s are exactly the same as the all-pass Pade approximants. As a result, the derivation provides an alternative way of proving that the all-pass Pade approximants to e-s are always asymptotically stable
  • Keywords
    Routh methods; approximation theory; asymptotic stability; delays; series (mathematics); Routh approximation; Taylor series; all-pass Pade approximants; stability; time delay; Chemical engineering; Delay effects; Differential equations; Jacobian matrices; Mathematical model; Network synthesis; Polynomials; Stability; Taylor series; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, Proceedings of the 1995
  • Conference_Location
    Seattle, WA
  • Print_ISBN
    0-7803-2445-5
  • Type

    conf

  • DOI
    10.1109/ACC.1995.532072
  • Filename
    532072