2 citations · 2 across the 2 of their papers we have counts for
4 papers
Optimality conditions and local regularity of the value function for the optimal exit time problem
Luong V. Nguyen
We consider the control problem with \textit{exit time}. Unlike the Bolza and Mayer problems, in this problem the terminal time of the trajectories is not fixed, but it is the firs…
Variational Analysis for the Bilateral Minimal Time Function
Luong V. Nguyen
In this paper, we derive formulas for the Fréchet (singular) subdiferentials of the bilateral minimal time function associated…
Variational analysis and regularity of the minimum time function for differential inclusions
Luong V. Nguyen
We study the time optimal control problem for differential inclusions with a general closed target. We first give the representation of the proximal horizontal subgradients of the…
Non-Lipschitz points and the SBV regularity of the minimum time function
Giovanni Colombo, Khai T. Nguyen, Luong V. Nguyen
This paper is devoted to the study of the Hausdorff dimension of the singular set of the minimum time function under controllability conditions which do not imply the Lipschitz…