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Article Dans Une Revue Networks and Heterogeneous Media Année : 2015

(Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains

Résumé

We revisit the pioneering work of Bressan & Hong on deterministic control problems in stratified domains, i.e. control problems for which the dynamic and the cost may have discontinuities on submanifolds of R N . By using slightly different methods, involving more partial differential equations arguments, we (i) slightly improve the assumptions on the dynamic and the cost; (ii) obtain a comparison result for general semi-continuous sub and supersolutions (without any continuity assumptions on the value function nor on the sub/supersolutions); (iii) provide a general framework in which a stability result holds.
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Dates et versions

hal-01097167 , version 1 (19-12-2014)
hal-01097167 , version 2 (17-02-2015)
hal-01097167 , version 3 (17-08-2015)

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G Barles, Emmanuel Chasseigne. (Almost) Everything You Always Wanted to Know About Deterministic Control Problems in Stratified Domains. Networks and Heterogeneous Media, 2015, 10 (4), pp.809-836. ⟨hal-01097167v3⟩
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