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math.OC2021
Lax Formulae for Efficiently Solving Two Classes of State-Constrained Optimal Control Problems
Donggun Lee, Claire J. Tomlin
This paper presents Lax formulae for solving the following optimal control problems: minimize the maximum (or the minimum) cost over a time horizon, while satisfying a state constr…
math.OC2021★ 1 cited
Hamilton-Jacobi Equations for Two Classes of State-Constrained Zero-Sum Games
Donggun Lee, Claire J. Tomlin
This paper presents Hamilton-Jacobi (HJ) formulations for two classes of two-player zero-sum games: one with a maximum cost value over time, and one with a minimum cost value over…