Another proof for the equivalence between invariance of closed sets with respect to stochastic and deterministic systems

نویسندگان

  • Rainer Buckdahn
  • Marc Quincampoix
  • Catherine Rainer
  • Josef Teichmann
چکیده

We provide a short and elementary proof for the recently proved result by G. da Prato and H. Frankowska that – under minimal assumptions – a closed set is invariant with respect to a stochastic control system if and only if it is invariant with respect to the (associated) deterministic control system.

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A simple proof for the equivalence between invariance for stochastic and deterministic Systems

We provide a short and elementary proof for the recently proved result by G. da Prato and H. Frankowska that – under minimal assumptions – a closed set is stochastically invariant if and only if it is deterministically invariant. MSC2000: 93E03, 60H10.

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تاریخ انتشار 2008