• DocumentCode
    3036355
  • Title

    Remarks on continuous feedback

  • Author

    Sontag, E. ; Sussmann, H.

  • Author_Institution
    Rutgers University, New Brunswick, N.J.
  • fYear
    1980
  • fDate
    10-12 Dec. 1980
  • Firstpage
    916
  • Lastpage
    921
  • Abstract
    We show that, in general, it is impossible to stabilize a controllable system by means of a continuous feedback, even if memory is allowed. No optimality considerations are involved. All state spaces are Euclidean spaces, so no obstructions arising from the state space topology are involved either. For one dimensional state and input, we prove that continuous stabilization with memory is always possible.
  • Keywords
    Control systems; Extraterrestrial measurements; Mathematics; Optimal control; Pathology; Regulators; State feedback; State-space methods; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control including the Symposium on Adaptive Processes, 1980 19th IEEE Conference on
  • Conference_Location
    Albuquerque, NM, USA
  • Type

    conf

  • DOI
    10.1109/CDC.1980.271934
  • Filename
    4046800
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3036355