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Titlebook: Geometric Control Theory and Sub-Riemannian Geometry; Gianna Stefani,Ugo Boscain,Mario Sigalotti Book 2014 Springer International Publishi

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On geometry of affine control systems with one input,ributions of maximal class in ℝ. with additional structures such as affine control systems with one input spanning these distributions, sub-(pseudo)Riemannian structures etc. In contrast to the case of an arbitrary rank 2 distribution without additional structures, in the considered cases each abnor
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The Delauney-Dubins Problem,iven constant curvature that connect two given tangential directions. About a hundred years later, L. Dubins, apparently unaware of the former problem, asked for a curve of minimal length that joins two fixed directions in the space of curves whose curvature is less or equal than a given constant. D
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On the Alexandrov Topology of sub-Lorentzian Manifolds,an analogue of the Riemannian distance function and the Alexandrov topology based on causal relations, are not equivalent in general and may possess a variety of relations. We also show that ‘opened causal relations’ are more well-behaved in sub-Lorentzian settings.
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Geometric Control Theory and Sub-Riemannian Geometry
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The Delauney-Dubins Problem,sion of the problem of Dubins..In this paper we will show that the . -dimensional problem of Dubins (called Delauney-Dubins, for historical reasons) is essentially three dimensional on any space form (simply connected space of constant curvature). We also show that the extremal equations are complet
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