Published Paper

Inserted: 6 mar 2009
Last Updated: 6 oct 2009

Journal: System and control letters
Volume: 58
Pages: 742-746
Year: 2009

Abstract:

In this paper, we investigate a minimum time problem for controlled non-autonomous differential systems, with a dynamics depending on the final time. The minimal time function associated to this problem does not satisfy the dynamic programming principle. However, we will prove that it is related to a standard front propagation problem via the reachability function.

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