Geometric, Control and Numerical Aspects of Nonholonomic Systems [electronic resource] / by Jorge Cortés Monforte.
Material type: TextSeries: Lecture Notes in Mathematics ; 1793Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002Description: XV, 224 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540457305Subject(s): Mathematics | Differentiable dynamical systems | Systems theory | Mechanics, applied | Mathematics | Dynamical Systems and Ergodic Theory | Theoretical and Applied Mechanics | Systems Theory, ControlAdditional physical formats: Printed edition:: No titleDDC classification: 515.39 | 515.48 LOC classification: QA313Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1338 |
Preface -- 1. Introduction -- 2. Basic geometric tools -- 3. Nonholonomic systems -- 4. Symmetries of nonholonomic systems -- 5. Chaplygin systems -- 6. A class of hybrid nonholonomic systems -- 7. Nonholonomic integrators -- 8. Control of mechanical systems -- References -- Index.
Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.
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