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

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

2007-07-16

arxiv.org/abs/0707.2353v2

Mathematics

Optimization and Control

revised version for publication in Bulletin des Sciences Mathematiques

Scientific paper

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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