126606 20241125101153.0 doi 10.3934/dcdss.2023080 sideral 133790 ART-2023-133790 eng Ghnatios, Chady Optimal velocity planning based on the solution of the Euler-Lagrange equations with a neural network based velocity regression 2023 Access copy available to the general public Unrestricted Trajectory optimization is a complex process that includes an infinite number of possibilities and combinations. This work focuses on a particular aspect of the trajectory optimization, related to the optimization of a velocity along a predefined path, with the aim of minimizing power consumption. To tackle the problem, a functional formulation and minimization strategy is developed, by means of the Euler-Lagrange equation. The minimization is later performed using a neural network approach. The strategy is deemed Lagrange-Net, as it is based on the minimization of the energy functional, by the means of Lagrange's equation and neural network approximations. info:eu-repo/grantAgreement/ES/DGA-FSE/T24-20R info:eu-repo/grantAgreement/EC/H2020/956401/EU/Cross-scale concurrent material-structure design using functionally-graded 3D-printed matematerials/XS-Meta This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 956401-XS-Meta info:eu-repo/grantAgreement/ES/MICINN-AEI/PID2020-113463RB-C31/AEI/10.13039/501100011033 info:eu-repo/grantAgreement/ES/UZ/UZ2019-0060 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.3 2023 MATHEMATICS, APPLIED 124 / 332 = 0.373 2023 Q2 T2 0.541 2023 Analysis 2023 Q2 Discrete Mathematics and Combinatorics 2023 Q2 Applied Mathematics 2023 Q2 3.7 2023 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion di Lorenzo, Daniele Champaney, Víctor Cueto, Elías Universidad de Zaragoza (orcid)0000-0003-1017-4381 Chinesta, Francisco 5004 605 Universidad de Zaragoza Dpto. Ingeniería Mecánica Área Mec.Med.Cont. y Teor.Est. 17, 7 (2023), 2323-2333 Discret. contin. dyn.l syst. ser. S Discrete and continuous dynamical systems. Series S 1937-1632 1367675 http://zaguan.unizar.es/record/126606/files/texto_completo.pdf Postprint 1807595 http://zaguan.unizar.es/record/126606/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:126606 articulos driver 2024-11-22-12:07:50 ARTICLE