3 citations · 4 across the 4 of their papers we have counts for
7 papers
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…
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…
Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model
Tan Cao, Boris Mordukhovich
This paper concerns optimal control of a nonconvex perturbed sweeping process and its applications to optimization of the planar crowd motion model of traffic equilibria. The obtai…