Discrete vakonomic mechanics

DOI10.1063/1.2008214zbMath1110.37050OpenAlexW2086841921MaRDI QIDQ3438587

David Martín de Diego, Roberto Benito

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2008214

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Nonholonomic dynamical systems (37J60)

Related Items (13)

Accelerated optimization on Riemannian manifolds via discrete constrained variational integrators ⋮ The variational discretization of the constrained higher-order Lagrange-Poincaré equations ⋮ Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies ⋮ Continuous and discrete approaches to vakonomic mechanics ⋮ Variational integrators in discrete vakonomic mechanics ⋮ On variational integrators for optimal control of mechanical control systems ⋮ Constraints and symmetry in mechanics of affine motion ⋮ Singular Lagrangian systems and variational constrained mechanics on Lie algebroids ⋮ Periodic homogenization under a hypoellipticity condition ⋮ Higher-order discrete variational problems with constraints ⋮ Optimal control of underactuated mechanical systems: A geometric approach ⋮ Dirac structures in vakonomic mechanics ⋮ The Herglotz principle and vakonomic dynamics

Cites Work

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