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20202023
most citedDiscrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes

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

collaborators

7 papers

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…

math.OC20201 cited

Optimization of Fully Controlled Sweeping Processes

Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich +1

The paper is devoted to deriving necessary optimality conditions in a general optimal control problem for dynamical systems governed by controlled sweeping processes with hard-cons…

math.OC20205 cited

Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes

Boris S. Mordukhovich, Dao Nguyen

The main goal of this paper is developing the method of discrete approximations to derive necessary optimality conditions for a class of constrained sweeping processes with nonsmoo…