000126606 001__ 126606
000126606 005__ 20240731103403.0
000126606 0247_ $$2doi$$a10.3934/dcdss.2023080
000126606 0248_ $$2sideral$$a133790
000126606 037__ $$aART-2023-133790
000126606 041__ $$aeng
000126606 100__ $$aGhnatios, Chady
000126606 245__ $$aOptimal velocity planning based on the solution of the Euler-Lagrange equations with a neural network based velocity regression
000126606 260__ $$c2023
000126606 5060_ $$aAccess copy available to the general public$$fUnrestricted
000126606 5203_ $$aTrajectory 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.
000126606 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/T24-20R$$9info:eu-repo/grantAgreement/EC/H2020/956401/EU/Cross-scale concurrent material-structure design using functionally-graded 3D-printed matematerials/XS-Meta$$9This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 956401-XS-Meta$$9info:eu-repo/grantAgreement/ES/MICINN-AEI/PID2020-113463RB-C31/AEI/10.13039/501100011033$$9info:eu-repo/grantAgreement/ES/UZ/UZ2019-0060
000126606 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000126606 590__ $$a1.3$$b2023
000126606 592__ $$a0.541$$b2023
000126606 591__ $$aMATHEMATICS, APPLIED$$b124 / 331 = 0.375$$c2023$$dQ2$$eT2
000126606 593__ $$aAnalysis$$c2023$$dQ2
000126606 593__ $$aDiscrete Mathematics and Combinatorics$$c2023$$dQ2
000126606 593__ $$aApplied Mathematics$$c2023$$dQ2
000126606 594__ $$a3.7$$b2023
000126606 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000126606 700__ $$adi Lorenzo, Daniele
000126606 700__ $$aChampaney, Víctor
000126606 700__ $$0(orcid)0000-0003-1017-4381$$aCueto, Elías$$uUniversidad de Zaragoza
000126606 700__ $$aChinesta, Francisco
000126606 7102_ $$15004$$2605$$aUniversidad de Zaragoza$$bDpto. Ingeniería Mecánica$$cÁrea Mec.Med.Cont. y Teor.Est.
000126606 773__ $$g17, 7 (2023), 2323-2333$$pDiscret. contin. dyn.l syst. ser. S$$tDiscrete and continuous dynamical systems. Series S$$x1937-1632
000126606 8564_ $$s1367675$$uhttps://zaguan.unizar.es/record/126606/files/texto_completo.pdf$$yPostprint
000126606 8564_ $$s1807595$$uhttps://zaguan.unizar.es/record/126606/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000126606 909CO $$ooai:zaguan.unizar.es:126606$$particulos$$pdriver
000126606 951__ $$a2024-07-31-10:00:25
000126606 980__ $$aARTICLE