Geometric integrators for higher-order variational systems and their application to optimal control

DOI10.1007/s00332-016-9314-9zbMath1378.70016arXiv1410.5766OpenAlexW2963716260MaRDI QIDQ513868

David Martín de Diego, Leonardo Colombo, Sebastián J. Ferraro

Publication date: 8 March 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5766

zbMATH Keywords

optimal controlvariational integratorsdiscrete variational calculushigher-order mechanics

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discrete approximations in optimal control (49M25) Higher-order theories for problems in Hamiltonian and Lagrangian mechanics (70H50)

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