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20202025
most citedDiscrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes

5 citations · 6 across the 6 of their papers we have counts for

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9 papers · 1 filter

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.OC2023

Optimal control of sweeping processes in unmanned surface vehicle and nanoparticle modeling

Boris S. Mordukhovich, Dao Nguyen, Trang Nguyen

This paper addresses novel applications to practical modeling of the newly developed theory of necessary optimality conditions in controlled sweeping/Moreau processes with free tim…

math.OC2021

Optimization of Controlled Free-Time Sweeping Processes with Applications to Marine Surface Vehicle Modeling

Tan H. Cao, Nathalie T. Khalil, Boris S. Mordukhovich +3

The paper is devoted to a free-time optimal control problem for sweeping processes. We develop a constructive finite-difference approximation procedure that allows us to establish…

math.OC2021

Crowd motion paradigm modeled by a bilevel sweeping control problem

Tan H. Cao, Nathalie T. Khalil, Boris S. Mordukhovich +2

This article concerns an optimal crowd motion control problem in which the crowd features a structure given by its organization into N groups (participants) each one spatially conf…

math.OC2021

Applications of Controlled Sweeping Processes to Nonlinear Crowd Motion Models with Obstacles

Tan Cao, Boris Mordukhovich, Dao Nguyen +1

This paper mainly focuses on solving the dynamic optimization of the planar controlled crowd motion models with obstacles which is an application of a class of optimal control prob…