← Back
Publicaciones

Analysis and numerical solution of some minimal time control problems

Authors

Fernandez-Cara, Enrique , MARÍN GAYTE, IRENE

External publication

No

Means

Results Appl. Math

Scope

Article

Nature

Científica

JCR Quartile

✗

SJR Quartile

✗

Web

https://www.scopus.com/inward/record.uri?eid=2-s2.0-105005574074&doi=10.1016%2Fj.rinam.2025.100582&partnerID=40&md5=19aa75e2d137407bd0cb68dc03c1b238

Publication date

01/05/2025

ISI

001500511800001

Scopus Id

2-s2.0-105005574074

DOI

10.1016/j.rinam.2025.100582

Abstract

This paper is devoted to the theoretical and numerical analysis of some minimal time control problems associated to linear and nonlinear differential equations. We start by studying simple cases concerning linear and nonlinear ODEs. Then, we deal with the heat equation. In all these situations, we analyze the existence of solutions, we deduce optimality results and we present several algorithms for the computation of optimal controls. Finally, we illustrate the results with several numerical experiments.

Keywords

Minimal time; Optimal control problem for ODEs and PDEs; Iterative algorithms for control problems

Universidad Loyola members