Reduction, Linearization, and Stability of Relative Equilibria for Mechanical Systems on Riemannian Manifolds
نویسندگان
چکیده
منابع مشابه
Reduction, linearization, and stability of relative equilibria for mechanical systems on Riemannian manifolds
Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability of relative equilibria. In particular, for mechanical control systems, an explicit characterization is given for the manner in which reduction by an infinitesimal isometry,...
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ژورنال
عنوان ژورنال: Acta Applicandae Mathematicae
سال: 2007
ISSN: 0167-8019,1572-9036
DOI: 10.1007/s10440-007-9155-5