• DocumentCode
    294289
  • Title

    An abstract approach to dissipation

  • Author

    Sontag, Eduardo

  • Author_Institution
    Dept. of Math., Rutgers Univ., New Brunswick, NJ, USA
  • Volume
    3
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    2702
  • Abstract
    We suggest that a very natural mathematical framework for the study of dissipation-in the sense of Willems (1976), Moylan and Hill, and others-is that of indefinite quasimetric spaces. Several basic facts about dissipative systems are seen to be simple consequences of the properties of such spaces. Quasimetric spaces provide also one natural context for optimal control problems, and even for “gap” formulations of robustness
  • Keywords
    stability; dissipative systems; gap formulations; indefinite quasimetric spaces; optimal control; robustness; Attenuation; Control systems; Cost function; Equations; Extraterrestrial measurements; Mathematics; Optimal control; Robust control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.478522
  • Filename
    478522
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=294289