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math.OC2024
Dynamical System Approach for Optimal Control Problems with Equilibrium Constraints Using Gap-Constraint-Based Reformulation
Kangyu Lin, Toshiyuki Ohtsuka
This study focuses on using direct methods (first-discretize-then-optimize) to solve optimal control problems for a class of nonsmooth dynamical systems governed by differential va…
math.OC2024
A Successive Gap Constraint Linearization Method for Optimal Control Problems with Equilibrium Constraints
Kangyu Lin, Toshiyuki Ohtsuka
In this study, we propose a novel gap-constraint-based reformulation for optimal control problems with equilibrium constraints (OCPECs). We show that the proposed reformulation gen…