A Generalization of Lyapounov's Convexity Theorem to Measures with Atoms

DOI10.2307/2046629zbMath0649.28008OpenAlexW4235531064MaRDI QIDQ3794445

John H. Elton, Theodore P. Hill

Publication date: 1987

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.calpoly.edu/rgp_rsr/51

zbMATH Keywords

zonotopebisection problemzonohedronbang-bang problem in optimal controldent-size of a nonconvex setgeneralization of Lyapounov's convexity theoremrange of the vector measurevector measures with atoms

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Attainable sets, reachability (93B03)

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