Abstract
We study the minimum time optimal control problem for a nonlinear system in R n with a general target. Necessary and sufficient optimality conditions are obtained. In particular, we describe a class of costates that are included in the superdifferential of the minimum time function, even in the case when this function is only lower semicontinuous. Two set-valued maps are constructed to provide time optimal synthesis.
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Cannarsa, P., Frankowska, H. & Sinestrari, C. Optimality Conditions and Synthesis for the Minimum Time Problem. Set-Valued Analysis 8, 127–148 (2000). https://doi.org/10.1023/A:1008726610555
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DOI: https://doi.org/10.1023/A:1008726610555