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

Sale price  $71.99 Regular price $79.99

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

Sale price  $71.99 Regular price $79.99

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SpringerBriefs in Mathematics

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

Frédéric Jean

Science / System Theory

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.

Publication Date: 30 July 2014
Publisher: Springer International Publishing
Imprint: Springer
ISBN-13: 9783319086897
Format: Paperback softback
Page Count: 104

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