1992/05/06 by Alberto Bressan, Bressan, Alberto, Benedetto Piccoli +1
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Insurance and Financial Risk Management #funct-an #math.FA
paper · pdf · doi:10.48550/arxiv.funct-an/9205001
21 pages
arxiv created 1992/05/06 · openalex publication_date 1992/05/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Aim 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.