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math.OC2024
On the structure of the value function of optimal exit time problems
Piermarco Cannarsa, Marco Mazzola, Khai T. Nguyen
In this paper, we study an optimal exit time problem with general running and terminal costs and a target having an inner ball property for a nonli…
math.OC2024
Generic Properties of Conjugate Points in Optimal Control Problems
Alberto Bressan, Marco Mazzola, Khai T. Nguyen
The first part of the paper studies a class of optimal control problems in Bolza form, where the dynamics is linear w.r.t.~the control function. A necessary condition is derived, f…