| Title | 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 |
| SJR Quartile | 2 |
| Publication date | 01/05/2025 |
| ISI | 001500511800001 |
| 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 |