Interior sphere property of attainable sets and time optimal control problems
Open Access
- 22 March 2006
- journal article
- research article
- Published by EDP Sciences in ESAIM: Control, Optimisation and Calculus of Variations
- Vol. 12 (2) , 350-370
Abstract
This paper studies the attainable set at time T>0 for the control system showing that, under suitable assumptions on f, such a set satisfies a uniform interior sphere condition. The interior sphere property is then applied to recover a semiconcavity result for the value function of time optimal control problems with a general target, and to deduce C1,1-regularity for boundaries of attainable sets.Keywords
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