| 书目名称 | Geometric Control Theory and Sub-Riemannian Geometry | | 编辑 | Gianna Stefani,Ugo Boscain,Mario Sigalotti | | 视频video | | | 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: | | 丛书名称 | Springer INdAM Series | | 图书封面 |  | | 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 | | 关键词 | control system; geometric control; sub-Riemannian geometry | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-02132-4 | | isbn_softcover | 978-3-319-35025-7 | | isbn_ebook | 978-3-319-02132-4Series ISSN 2281-518X Series E-ISSN 2281-5198 | | issn_series | 2281-518X | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 16:11:50
