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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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書目名稱Geometric Control Theory and Sub-Riemannian Geometry
編輯Gianna Stefani,Ugo Boscain,Mario Sigalotti
視頻videohttp://file.papertrans.cn/384/383493/383493.mp4
概述Feature chapter on open problems.Presents state of the art of the research in the field.Collects papers by top level scientists.Includes supplementary material:
叢書名稱Springer INdAM Series
圖書封面Titlebook: Geometric Control Theory and Sub-Riemannian Geometry;  Gianna Stefani,Ugo Boscain,Mario Sigalotti Book 2014 Springer International Publishi
描述Honoring Andrei Agrachev‘s 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand, Riemannian geometry and its generalizations, such as sub-Riemannian, Finslerian geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods has led to important results regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannian structures, regularity of the Hausdorff volume, etc.
出版日期Book 2014
關(guān)鍵詞control system; geometric control; sub-Riemannian geometry
版次1
doihttps://doi.org/10.1007/978-3-319-02132-4
isbn_softcover978-3-319-35025-7
isbn_ebook978-3-319-02132-4Series ISSN 2281-518X Series E-ISSN 2281-5198
issn_series 2281-518X
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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Zusammenfassung und Implikationen, profited from the development of intrinsic Riemannian geometry, from geometric control theory and sub-Riemannian geometry. We also mention how other areas -such as robotics and interpolation theory- have employed the rolling problem.
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Null controllability in large time for the parabolic Grushin operator with singular potential,er frequency. Such an inequality is obtained by means of a suitable Carleman estimate, with an adapted spatial weight function. We thus show that null controllability holds in large time, as in the case of the Grushin operator without potential.
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Book 2014geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision model
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Problems of Dollarising Poverty,mal extremal (of the underlying rank 2 distribution) possesses a distinguished parametrization. This fact allows one to construct the canonical frame on a (2.?3)-dimensional for arbitrary . ≥ 5. The moduli spaces of the most symmetric models are described as well.
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