• DocumentCode
    3469006
  • Title

    Avoidance and intersection in the complex plane, a tool for simultaneous stabilization

  • Author

    Blondel, V. ; Campion, G. ; Gevers, M.

  • Author_Institution
    Dept. of Autom. Control, Louvain Univ., Belgium
  • fYear
    1991
  • fDate
    11-13 Dec 1991
  • Firstpage
    47
  • Abstract
    The authors study the following problem: `under what condition(s) is it possible to find a single controller which stabilizes k single-input-single-output (SISO) linear time-invariant plants pi(s) (i=l,. . .,k )?´. They show that the problem admits a solution if and only if an avoidance condition in the complex plane is satisfied, and this result is used to derive a sufficient condition for k plants to be simultaneously stabilizable
  • Keywords
    linear systems; set theory; stability; SISO linear time-invariant plants; avoidance condition; complex plane; intersection; simultaneous stabilization; single-input single-output plants; sufficient condition; Automatic control; Control systems; Control theory; Stability; Sufficient conditions; Time invariant systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
  • Conference_Location
    Brighton
  • Print_ISBN
    0-7803-0450-0
  • Type

    conf

  • DOI
    10.1109/CDC.1991.261249
  • Filename
    261249
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3469006