Numerical methods for optimal control problems with biological applications

Autor: Fabrini, Giulia

Cette thèse se développe sur deux fronts: nous nous concentrons sur les méthodes numériques des problèmes de contrôle optimal, en particulier sur le Principe de la Programmation Dynamique et sur le Model Predictive Control (MPC) et nous présen

Externí odkaz: http://www.theses.fr/2017PA066096/document

Multilevel Techniques for the Solution of HJB Minimum-Time Control Problems

Autor: Ciaramella, Gabriele, Fabrini, Giulia

Publikováno v: Journal of Systems Science and Complexity. 34:2069-2091

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c487edf801b763d30da84d78b26fbb17
https://doi.org/10.1007/s11424-021-0253-7

Multilevel techniques for the solution of HJB minimum-time control problems

Autor: Ciaramella, Gabriele, Fabrini, Giulia

The approximation of feedback control via the Dynamic Programming approach is a challenging problem. The computation of the feedback requires the knowledge of the value function, which can be characterized as the unique viscosity solution of a nonlin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______715::b279b0770b8a076e0cb638a9fa68f4bd

Méthodes numériques des problèmes de contrôle optimal avec des applications en biologie

Autor: Fabrini, Giulia

Publikováno v: Numerical Analysis [math.NA]. Université Pierre et Marie Curie-Paris VI; Università degli studi (Gênes, Italie), 2017. English. ⟨NNT : 2017PA066096⟩

This thesis is divided in two parts: in the first part we focus on numerical methods for optimal control problems, in particular on the Dynamic Programming Principle and on Model Predictive Control (MPC), in the second part we present some applicatio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ce964a3ba63063c1eef3f521b6c49686
https://theses.hal.science/tel-01780847/document