• DocumentCode
    2827935
  • Title

    New insights on stochastic reachability

  • Author

    Bujorianu, Manuela L. ; Lygeros, John

  • Author_Institution
    Univ. of Twente, Enschede
  • fYear
    2007
  • fDate
    12-14 Dec. 2007
  • Firstpage
    6172
  • Lastpage
    6177
  • Abstract
    In this paper, we give new characterizations of the stochastic reachability problem for stochastic hybrid systems in the language of different theories that can be employed in studying stochastic processes (Markov processes, potential theory, optimal control). These characterizations are further used to obtain the probabilities involved in the context of stochastic reachability as viscosity solutions of some variational inequalities.
  • Keywords
    stochastic processes; Markov processes; optimal control; potential theory; stochastic hybrid systems; stochastic reachability problem; Automobiles; Chemical processes; Control systems; Diffusion processes; Markov processes; Optimal control; Stochastic processes; Stochastic systems; USA Councils; Viscosity; Markov processes; optimal stopping problem; reduite; stochastic hybrid systems; stochastic reachability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2007 46th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-1497-0
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2007.4434784
  • Filename
    4434784