A Baire Category Approach to the Bang-Bang Property

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dc.creatorBressan, Alberto
dc.creatorPiccoli, Benedetto
dc.date1992-05-06
dc.date.accessioned2026-07-07T09:13:21Z
dc.date.available2026-07-07T09:13:21Z
dc.descriptionAim of this paper is to develop a new technique, based on the Baire category theorem, in order to establish the closure of reachable sets and the existence of optimal trajectories for control systems, without the usual convexity assumptions. The bang-bang property is proved for a new class of ``concave" multifunctions, characterized by the existence of suitable linear selections. The proofs rely on Lyapunov's theorem in connection with a Baire category argument.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/funct-an/9205001
dc.identifierhttp://arxiv.org/abs/funct-an/9205001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152295
dc.subjectFunctional Analysis
dc.titleA Baire Category Approach to the Bang-Bang Property
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