Fernandez-Cara, Enrique , MARÍN GAYTE, IRENE

No

Results Appl. Math

Article

Científica

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

01/05/2025

001500511800001

2-s2.0-105005574074

10.1016/j.rinam.2025.100582

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.

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

• IRENE MARÍN GAYTE