• DocumentCode
    294487
  • Title

    Expected reachability for piecewise deterministic linear Markov processes

  • Author

    Boukas, E.K. ; Zhu, Q. ; Malhamé, R.

  • Author_Institution
    Dept. of Mech. Eng., Ecole Polytech., Montreal, Que., Canada
  • Volume
    1
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    784
  • Abstract
    In this paper, we define expected reachability and reachable set for the class of piecewise linear deterministic systems. We develop formulas for calculating the reachable set and analyze its variance and discuss how to implement these formulas numerically. We also discuss a sufficient condition for the system to be completely reachable. Our definition is motivated by problems in the field of manufacturing production control and examples are given to show the usefulness of these concepts
  • Keywords
    Markov processes; controllability; expected reachability; manufacturing production control; piecewise-deterministic linear Markov processes; reachable set; Analysis of variance; Control systems; Controllability; Covariance matrix; Manufacturing systems; Markov processes; Mechanical engineering; Piecewise linear techniques; Production planning; Sufficient conditions;
  • 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.1995.479077
  • Filename
    479077