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- W2149207294 abstract "We consider nonholonomic control systems on Riemannian manifolds. Such systems evolve on sub-bundles of tangent bundles, defined by the nonholonomic constraints. This paper promotes the view of such systems as the restriction to the nonholonomic sub-bundle of Newton-law type problems on the entire tangent bundle, defined by, in general, non-Riemannian connections. These connections should be related to specific geometric properties of the nonholonomic system. We define a particular class of connections based on special symmetry properties, and demonstrate the validity of the construction through three examples." @default.
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- W2149207294 date "2002-11-28" @default.
- W2149207294 modified "2023-09-26" @default.
- W2149207294 title "Newton's law and nonholonomic systems" @default.
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- W2149207294 doi "https://doi.org/10.1109/cdc.1998.761733" @default.
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