3 papers
math.OC2025
Optimal Control of Nonconvex Sweeping Processes with Variable Time via Finite-Difference Approximations
Tan H. Cao, Boris S. Mordukhovich, Dao Nguyen +2
The paper is devoted to the study of a new class of optimal control problems for nonsmooth dynamical systems governed by nonconvex discontinuous differential inclusions of the swee…
math.OC2024
Well-posedness and Stability of Discrete Approximations for Controlled Sweeping Processes with Time Delay
Boris Mordukhovich, Dao Nguyen, Trang Nguyen +2
This paper addresses, for the first time in the literature, optimal control problems for dynamic systems governed by a novel class of sweeping processes with time delay. We establi…
math.OC2024
Optimal control of perturbed sweeping processes with applications to general robotics models
Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen +2
This paper primarily focuses on the practical applications of optimal control theory for perturbed sweeping processes within the realm of robotics dynamics. By describing these mod…