5 citations · 7 across the 11 of their papers we have counts for
13 papers
Optimization of a Perturbed Implicit Sweeping Process by Constrained Discontinuous Controls
Yen Dang, Boris S. Mordukhovich, Dao Nguyen
This paper studies optimal control problems governed by an implicit sweeping process with velocity-dependent constraint geometry, where the dynamics are described by a differential…
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…
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…
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…
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…
Discrete Approximations and Optimality Conditions for Controlled Free-Time Sweeping Processes
Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen +1
The paper is devoted to the study of a new class of optimal control problems governed by discontinuous constrained differential inclusions of the sweeping type with involving the d…
Optimal Control of a Quasi-Variational Sweeping Process
Harbir Antil, Rafael Arndt, Boris S. Mordukhovich +2
The paper addresses the study of a class of evolutionary quasi-variational inequalities of the parabolic type arising in the formation and growth models of granular and cohensionle…
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…
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…
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…
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…
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…
Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations
Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich +1
This paper addresses a new class of optimal control problems for perturbed sweeping processes with measurable controls in additive perturbations of the dynamics and smooth controls…