Unified formalism for higher-order variational problems and its applications in optimal control

DOI10.1142/S0219887814500340zbMath1290.70021arXiv1304.7699OpenAlexW3104658082MaRDI QIDQ5420255

Pedro Daniel Prieto-Martínez, Leonardo Colombo

Publication date: 11 June 2014

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7699

zbMATH Keywords

optimal controlhigher-order systemsunderactuated mechanical systemconstrained variational calculusLagrangian and Hamiltonian mechanicsSkinner-Rusk formalism

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Existence theories for optimal control problems involving ordinary differential equations (49J15) Applications of global differential geometry to the sciences (53C80) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

Related Items (3)

Second-order constrained variational problems on Lie algebroids: applications to optimal control ⋮ Second order Lagrangian dynamics on double cross product groups ⋮ Regularity properties of fiber derivatives associated with higher-order mechanical systems

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