5 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…
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…
Necessary Optimality Conditions For Average Cost Minimization Problems
Piernicola Bettiol, Nathalie Khalil
Control systems involving unknown parameters appear a natural framework for applications in which the model design has to take into account various uncertainties. In these circumst…
Normality of Necessary Optimality Conditions for Calculus of Variations Problems with State Constraints
Nathalie Khalil, Sofia O. Lopes
We consider non-autonomous calculus of variations problems with a state constraint represented by a given closed set. We prove that if the interior of the Clarke tangent cone of th…