Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations

DOI10.1016/S0034-4877(09)90001-5zbMath1207.37045arXiv0812.0437MaRDI QIDQ2270488

Tom Mestdag, Anthony M. Bloch, Oscar E. Fernandez

Publication date: 28 July 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.0437

zbMATH Keywords

inverse problemHamiltonianquantizationcontrol systemnonholonomic systemPontryagin's principle

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Other variational principles in mechanics (70H30) Inverse problems for systems of particles (70F17) Nonholonomic dynamical systems (37J60)

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