Publication
Title
Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations
Author
Abstract
We introduce a method which allows one to recover the equations of motion of a class of nonholonomic systems by finding instead an unconstrained Hamiltonian system on the full phase space, and to restrict the resulting canonical equations to an appropriate submanifold of phase space. We focus first on the Lagrangian picture of the method and deduce the corresponding Hamiltonian from the Legendre transformation. We illustrate the method with several examples and we discuss its relationship to the Pontryagin maximum principle.
Language
English
Source (journal)
Reports on mathematical physics. - Warszawa, 1970, currens
Publication
Warszawa : 2009
ISSN
0034-4877 [print]
1879-0674 [online]
DOI
10.1016/S0034-4877(09)90001-5
Volume/pages
63 :2 (2009) , p. 225-249
ISI
000265302400005
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Publication type
Subject
External links
Web of Science
Record
Identifier
Creation 18.11.2016
Last edited 28.08.2024
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