18 citations · 21 across the 9 of their papers we have counts for
4 papers · 1 filter
Rotational controls and uniqueness of constrained viscosity solutions of Hamilton-Jacobi PDE
Giovanni Colombo, Nathalie T. Khalil, Franco Rampazzo
The classical inward pointing condition (IPC) for a control system whose state is constrained in the closure of an open set prescribes that at each point of the…
A Maximum Principle for a Time-Optimal Bilevel Sweeping Control Problem
Nathalie T. Khalil, Fernando Lobo Pereira
In this article, we investigate a time-optimal state-constrained bilevel optimal control problem whose lower-level dynamics feature a sweeping control process involving a {\it trun…
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…