Second-order variational problems on Lie groupoids and optimal control applications
DOI10.3934/dcds.2016064zbMath1404.70037arXiv1506.08580OpenAlexW2963460487MaRDI QIDQ325223
David Martín de Diego, Leonardo Colombo
Publication date: 18 October 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.08580
optimal controlLagrangian submanifoldsLie algebroidsLie groupoidsgeometric integrationdiscrete Lagrangian mechanicshigher-order variational problems
Existence theories for optimal control problems involving ordinary differential equations (49J15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Other variational principles in mechanics (70H30) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)
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