Geometric Control Theory and Sub-Riemannian Geometry

Name: Geometric Control Theory and Sub-Riemannian Geometry
SKU: 25846606
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Paperback / softback

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Springer Indam Series

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Description

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.

Author Biography:

Prof. Gianna Stefani: From 1997 is Full Professor at University of Florence, Italy. Prof. Ugo Boscain: Directeur de recherche CNRS (DR2) at the Center of Applied Mathematics and Probability (CMAP) of Ecole Polytechnique; Professeur charge de course in numerical analysis and optimization at Ecole Polytechnique (department of applied mathematics); Deputy team leader of the equipe-INRIA GECO Inria Saclay. Prof. Jean-Paul Gauthier: Experience of JP Gauthier In Scientific Research (January 2011), Including; Research Team Management and Industrial Collaborations; JP Gauthier has scientific experience in several areas (pluridisciplinary); Honorary Member of Institut Universitaire de France (Promotion 1992). Prof. Andrey Sarychev: Full Professor (Professore Ordinario di I Fascia) at the Department of Mathematics and Informatics U.Dini (DiMaI), University of Florence, Italy, since January 2013. Prof. Mario Sigalotti: Chargé de recherche de première classe (CR1) - Établissement : INRIA Saclay – Île-de-France - Équipe-projet : GECO.

Release date Australia

August 27th, 2016

Audience

Professional & Vocational

Contributors

Edited by Andrey Sarychev
Edited by Gianna Stefani
Edited by Jean-Paul Gauthier
Edited by Mario Sigalotti
Edited by Ugo Boscain

Edition

Softcover reprint of the original 1st ed. 2014

Illustrations

49 Illustrations, color; 55 Illustrations, black and white; XII, 384 p. 104 illus., 49 illus. in color.

Pages

384

Series

Springer Indam Series

Dimensions

155x235x21

ISBN-13

9783319350257

Product ID

25846606

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