• DocumentCode
    1006358
  • Title

    The symmetric Rouche´s form for robustness

  • Author

    El-Sakkary, Ahned Kamal

  • Author_Institution
    Dept. of Syst. Eng., King Fahd Univ. of Petrol. & Miner., Dhahran, Saudi Arabia
  • Volume
    37
  • Issue
    6
  • fYear
    1992
  • fDate
    6/1/1992 12:00:00 AM
  • Firstpage
    810
  • Lastpage
    812
  • Abstract
    The objective of this work is to bring to control literature the strengthened and symmetric version of the classical Rouche´s form. The author discusses the need for Rouche´s form as a tool for the analysis of linear time-invariant control systems. A robustness criterion is given, and its corresponding geometrical interpretation is obtained. A simplified implementation of the symmetric form is obtained, and its relation to passivity is highlighted. An application to time delay systems is given
  • Keywords
    control system analysis; delays; linear systems; stability; control system analysis; geometrical interpretation; linear time-invariant control systems; passivity; robustness; symmetric Rouche´s form; time delay systems; Control systems; Delay effects; Open loop systems; Robust stability; Robustness; Stability criteria; Systems engineering and theory; Testing; Transfer functions; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.256338
  • Filename
    256338