3 papers
math.OC2021
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…
math.OC2019
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…
math.OC2018
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…