Almost convex valued perturbation to time optimal control sweeping processes

DOI10.1051/COCV/2015036zbMath1366.34029OpenAlexW2471894142MaRDI QIDQ2963494

Doria Affane, Dalila Azzam-Laouir

Publication date: 14 February 2017

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2015036

zbMATH Keywords

differential inclusionexistence of solutionsattainable setsweeping processalmost convex

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (4)

On the attainable set of iterative differential inclusions ⋮ Optimal control of higher order differential inclusions with functional constraints ⋮ Almost mixed semi-continuous perturbation of Moreau's sweeping process ⋮ Topological properties for a perturbed first order sweeping process

Cites Work

• Convex analysis and measurable multifunctions
• Evolution equations governed by the sweeping process
• Second-order differential inclusions with almost convex right-hand sides
• Optimization and nonsmooth analysis
• Existence of Solutions to Differential Inclusions and to Time Optimal Control Problems in the Autonomous Case
• Local differentiability of distance functions
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