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Titlebook: Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning; Frédéric Jean Book 2014 The Author(s) 2014 Control theor

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Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning978-3-319-08690-3Series ISSN 2191-8198 Series E-ISSN 2191-8201
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https://doi.org/10.1007/978-3-319-08690-3Control theory; Motion planning; Nilpotent systems; Nonholonomic systems; Sub-Riemannian geometry
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Vaginose, Vaginitis und Zervizitise will give a purely metric interpretation of this first-order theory in Sect. ., and show how the distance estimates allow us to compute Hausdorff dimensions. Finally, it will appear along the chapter that singularities of the Lie algebra generated by the vector fields . cause qualitative changes i
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First-Order Theory, Sect. ., the infinitesimal behaviour of this system should be captured by an approximation to the first-order with respect to .. In this chapter we will then provide a notion of first-order approximation and construct the basis of an infinitesimal calculus adapted to nonholonomic systems. To this a
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