6 papers
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…
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…
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…