3 papers
math.OC2025
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.OC2025
A Gap Penalty Reformulation for Mathematical Programming with Complementarity Constraints: Convergence Analysis
Kangyu Lin, Toshiyuki Ohtsuka
Our recent study (Lin and Ohtsuka, 2024) proposed a new penalty method for solving mathematical programming with complementarity constraints (MPCC). This method first reformulates…
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…