Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning

Author:   Frédéric Jean
Publisher:   Springer International Publishing AG
Edition:   2014 ed.
ISBN:  

9783319086897


Pages:   104
Publication Date:   30 July 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning


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Overview

Nonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry, which plays for these systems the same role as Euclidean geometry does for linear systems. In particular the usual notions of approximations at the first order, that are essential for control purposes, have to be defined in terms of this geometry. The aim of these notes is to present these notions of approximation and their application to the motion planning problem for nonholonomic systems.

Full Product Details

Author:   Frédéric Jean
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2014 ed.
Dimensions:   Width: 15.50cm , Height: 0.60cm , Length: 23.50cm
Weight:   1.883kg
ISBN:  

9783319086897


ISBN 10:   3319086898
Pages:   104
Publication Date:   30 July 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Reviews

This book is nicely done and provides an introduction to the motion planning problem and its associated mathematical theory that should be beneficial to theorists in nonlinear control theory. The exposition is concise, but at the same time clear and carefully developed. (Kevin A. Grasse, Mathematical Reviews, August, 2015)


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