Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning: SpringerBriefs in Mathematics
Autor Frédéric Jeanen Limba Engleză Paperback – 30 iul 2014
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Specificații
ISBN-13: 9783319086897
ISBN-10: 3319086898
Pagini: 110
Ilustrații: X, 104 p. 1 illus. in color.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.17 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Mathematics
Locul publicării:Cham, Switzerland
ISBN-10: 3319086898
Pagini: 110
Ilustrații: X, 104 p. 1 illus. in color.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.17 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Mathematics
Locul publicării:Cham, Switzerland
Public țintă
ResearchCuprins
1 Geometry of nonholonomic systems.- 2 First-order theory.- 3 Nonholonomic motion planning.- 4 Appendix A: Composition of flows of vector fields.- 5 Appendix B: The different systems of privileged coordinates.
Recenzii
“The main objective of the book under review is tointroduce the readers to nonholonomic systems from the point of view of controltheory. … the book is a concise survey of the methods for motion planning ofnonholonomic control systems by means of nilpotent approximation. It containsboth the theoretical background and the explicit computational algorithms forsolving this problem.” (I. Zelenko, Bulletin of the American MathematicalSociety, Vol. 53 (1), January, 2016)
“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)
“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)
Caracteristici
Provides recent results and state-of-the-art in nonholonomic motion planning Includes the description of a complete algorithm It is a crash course on first-order theory in sub-Riemannian geometry Includes supplementary material: sn.pub/extras