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Interior sphere property for level sets of thevalue function of an exit time problem
Published online by Cambridge University Press: 23 January 2009
Abstract
We consider an optimal control problem for a system of the form $\dot{x}$ = f(x,u), with a running cost L. We prove an interior sphere property for the level sets of the corresponding value function V. From such a property we obtain a semiconcavity result for V, as well as perimeter estimates for the attainable sets of a symmetric control system.
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 1 , January 2009 , pp. 102 - 116
- Copyright
- © EDP Sciences, SMAI, 2008
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