Springer INdAM Series

Geometric Control Theory and Sub-Riemannian Geometry

Editors: Stefani, G., Boscain, U., Gauthier, J.-P., Sarychev, A., Sigalotti, M. (Eds.)

  • Feature chapter on open problems
  • Presents state of the art of the research in the field
  • Collects papers by top level scientists
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  • Due: October 14, 2016
  • ISBN 978-3-319-35025-7
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About this book

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.

About the authors

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.

Table of contents (21 chapters)

  • Some open problems

    Agrachev, Andrei A.

    Pages 1-13

  • Geometry of Maslov cycles

    Barilari, Davide (et al.)

    Pages 15-35

  • How to Run a Centipede: a Topological Perspective

    Baryshnikov, Yuliy (et al.)

    Pages 37-51

  • Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces

    Bonnard, Bernard (et al.)

    Pages 53-72

  • On the injectivity and nonfocal domains of the ellipsoid of revolution

    Caillau, Jean-Baptiste (et al.)

    Pages 73-85

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-02132-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-02131-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 14, 2016
  • ISBN 978-3-319-35025-7
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Control Theory and Sub-Riemannian Geometry
Editors
  • Gianna Stefani
  • Ugo Boscain
  • Jean-Paul Gauthier
  • Andrey Sarychev
  • Mario Sigalotti
Series Title
Springer INdAM Series
Series Volume
5
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-02132-4
DOI
10.1007/978-3-319-02132-4
Hardcover ISBN
978-3-319-02131-7
Softcover ISBN
978-3-319-35025-7
Series ISSN
2281-518X
Edition Number
1
Number of Pages
XII, 384
Number of Illustrations and Tables
55 b/w illustrations, 49 illustrations in colour
Topics