Singular Lagrangian systems and variational constrained mechanics on Lie algebroids
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Publication:3543534
DOI10.1080/14689360802294220zbMath1229.37045arXiv0706.2789OpenAlexW2083416888MaRDI QIDQ3543534
David Martín de Diego, Diana Sosa, David Iglesias, Juan Carlos Marrero
Publication date: 4 December 2008
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.2789
variational calculusreductionLie algebroidsHamiltonian mechanicssingular Lagrangian systemsLagrangian mechanicsvakonomic mechanicsconstraint algorithm
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Related Items (14)
Second-order constrained variational problems on Lie algebroids: applications to optimal control ⋮ The variational discretization of the constrained higher-order Lagrange-Poincaré equations ⋮ Lagrangian Lie subalgebroids generating dynamics for second-order mechanical systems on Lie algebroids ⋮ Second-order variational problems on Lie groupoids and optimal control applications ⋮ Euler-Lagrange-Herglotz equations on Lie algebroids ⋮ Discrete mechanics on unitary octonions ⋮ Symplectic groupoids and discrete constrained Lagrangian mechanics ⋮ Generalized variational calculus for continuous and discrete mechanical systems ⋮ Lagrangian mechanics and reduction on fibered manifolds ⋮ Unified formalism for higher-order variational problems and its applications in optimal control ⋮ Anholonomic frames in constrained dynamics ⋮ Higher-order variational problems on Lie groups and optimal control applications ⋮ Morse families and Dirac systems ⋮ SOME APPLICATIONS OF QUASI-VELOCITIES IN OPTIMAL CONTROL
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- REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY
- Variational calculus on Lie algebroids
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- Lagrangian mechanics on Lie algebroids
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