Nonholonomic Mechanics and Control:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2003
|
| Series: | Interdisciplinary Applied Mathematics
24 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Nonholonomic Mechanics and Control develops the rich connections between control theory and geometric mechanics. Control theory is linked with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations and especially with the theory of nonholonomic mechanics (mechanical systems subject to motion constraints). Both controllability and optimal control are treated, including the Pontryagin maximum principle. In addition, the stability, control, and stabilization of mechanical systems are discussed. In particular, these items are considered for nonholonomic systems. The aim of the book is to provide a unified treatment of nonlinear control theory and constrained mechanical systems, incorporating material that has not yet made its way into texts and monographs. Detailed illustrations and exercises are included throughout the text. This book is intended for graduate and advance undergraduate students in mathematics, physics and engineering who wish to learn this subject and for researchers in the area who want to enhance their techniques |
| Physical Description: | 1 Online-Ressource (XIX, 484 p) |
| ISBN: | 9780387216447 9781441930439 |
| ISSN: | 0939-6047 |
| DOI: | 10.1007/b97376 |
Staff View
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| isbn | 9780387216447 9781441930439 |
| issn | 0939-6047 |
| language | English |
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| spelling | Bloch, A. M. Verfasser aut Nonholonomic Mechanics and Control by A. M. Bloch New York, NY Springer New York 2003 1 Online-Ressource (XIX, 484 p) txt rdacontent c rdamedia cr rdacarrier Interdisciplinary Applied Mathematics 24 0939-6047 Nonholonomic Mechanics and Control develops the rich connections between control theory and geometric mechanics. Control theory is linked with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations and especially with the theory of nonholonomic mechanics (mechanical systems subject to motion constraints). Both controllability and optimal control are treated, including the Pontryagin maximum principle. In addition, the stability, control, and stabilization of mechanical systems are discussed. In particular, these items are considered for nonholonomic systems. The aim of the book is to provide a unified treatment of nonlinear control theory and constrained mechanical systems, incorporating material that has not yet made its way into texts and monographs. Detailed illustrations and exercises are included throughout the text. This book is intended for graduate and advance undergraduate students in mathematics, physics and engineering who wish to learn this subject and for researchers in the area who want to enhance their techniques Mathematics Differentiable dynamical systems Systems theory Mechanics, applied Applications of Mathematics Control, Robotics, Mechatronics Dynamical Systems and Ergodic Theory Systems Theory, Control Theoretical and Applied Mechanics Mathematik Nichtholonome Bedingung (DE-588)4171735-1 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Mechanisches System (DE-588)4132811-5 gnd rswk-swf Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd rswk-swf Nichtholonome Bedingung (DE-588)4171735-1 s Nichtlineare Kontrolltheorie (DE-588)4475218-0 s Mechanik (DE-588)4038168-7 s Mechanisches System (DE-588)4132811-5 s 1\p DE-604 https://doi.org/10.1007/b97376 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bloch, A. M. Nonholonomic Mechanics and Control Mathematics Differentiable dynamical systems Systems theory Mechanics, applied Applications of Mathematics Control, Robotics, Mechatronics Dynamical Systems and Ergodic Theory Systems Theory, Control Theoretical and Applied Mechanics Mathematik Nichtholonome Bedingung (DE-588)4171735-1 gnd Mechanik (DE-588)4038168-7 gnd Mechanisches System (DE-588)4132811-5 gnd Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd |
| subject_GND | (DE-588)4171735-1 (DE-588)4038168-7 (DE-588)4132811-5 (DE-588)4475218-0 |
| title | Nonholonomic Mechanics and Control |
| title_auth | Nonholonomic Mechanics and Control |
| title_exact_search | Nonholonomic Mechanics and Control |
| title_full | Nonholonomic Mechanics and Control by A. M. Bloch |
| title_fullStr | Nonholonomic Mechanics and Control by A. M. Bloch |
| title_full_unstemmed | Nonholonomic Mechanics and Control by A. M. Bloch |
| title_short | Nonholonomic Mechanics and Control |
| title_sort | nonholonomic mechanics and control |
| topic | Mathematics Differentiable dynamical systems Systems theory Mechanics, applied Applications of Mathematics Control, Robotics, Mechatronics Dynamical Systems and Ergodic Theory Systems Theory, Control Theoretical and Applied Mechanics Mathematik Nichtholonome Bedingung (DE-588)4171735-1 gnd Mechanik (DE-588)4038168-7 gnd Mechanisches System (DE-588)4132811-5 gnd Nichtlineare Kontrolltheorie (DE-588)4475218-0 gnd |
| topic_facet | Mathematics Differentiable dynamical systems Systems theory Mechanics, applied Applications of Mathematics Control, Robotics, Mechatronics Dynamical Systems and Ergodic Theory Systems Theory, Control Theoretical and Applied Mechanics Mathematik Nichtholonome Bedingung Mechanik Mechanisches System Nichtlineare Kontrolltheorie |
| url | https://doi.org/10.1007/b97376 |
| work_keys_str_mv | AT blocham nonholonomicmechanicsandcontrol |