3 citations · 5 across the 11 of their papers we have counts for
13 papers
Second-Order Sensitivity of Efficient Solution Maps in Parametric Vector Optimization with Set Constraints
N. X. D. Bao, Tan H. Cao
We study second-order fixed-ray Dini sensitivity of the efficient solution map \(S\) for the parametric vector problem \(\min_C f(p,x)\) subject to \(x\in H(p)\). Under a value-to-…
Convergence and Stability of a Catching-Up Algorithm for Differential Inclusions with Maximal Monotone Operators
Tan H. Cao, Hassan Saoud
We study a catching-up algorithm for a class of differential inclusions driven by maximal monotone operators with continuous perturbations. Using a decomposition of the monotone op…
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…
Optimal Control of Several Motion Models
Tan H. Cao, Nilson Chapagain, Haejoon Lee +2
This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optim…
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…
Optimal control of a nonconvex perturbed sweeping process
Tan H. Cao, B. S. Mordukhovich
The paper concerns optimal control of discontinuous differential inclusions of the normal cone type governed by a generalized version of the Moreau sweeping process with control fu…
Optimality conditions for a controlled sweeping process with applications to the crowd motion model
Tan H. Cao, Boris S. Mordukhovich
The paper concerns the study and applications of a new class of optimal control problems governed by a perturbed sweeping process of the hysteresis type with control functions acti…
Optimal control of a perturbed sweeping process via discrete discrete approximations
Tan H. Cao, Boris S. Mordukhovich
The paper addresses an optimal control problem for a perturbed sweeping process of the rate-independent hysteresis type described by a controlled "play and stop" operator with sepa…