书目名称 | Nonholonomic Mechanics and Control |
编辑 | A.M. Bloch,P. S. Krishnaprasad,R.M. Murray |
视频video | |
概述 | Explores some of the connections between control theory and geometric mechanics.Offers a unified treatment of nonlinear control theory and constrained mechanical systems.Synthesizes material not avail |
丛书名称 | Interdisciplinary Applied Mathematics |
图书封面 |  |
描述 | .This book explores some of the connections between control theory and geometric mechanics; that is, control theory is linked with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations and in particular with the theory of mechanical systems subject to motion constraints. The synthesis of the topic is appropriate as there is a particularly rich connection between mechanics and nonlinear control theory. The book provides a unified treatment of nonlinear control theory and constrained mechanical systems and illustrates the elegant mathematics behind many simple, interesting and useful mechanical examples. It is intended for graduate students who wish to learn this subject and researchers in the area who want to enhance their techniques..The book contains sections focusing on physical examples and elementary terms, as well as theoretical sections that use sophisticated analysis and geometry. The first four chapters offer preliminaries and background information, while the remaining five are broken down into chapters on nonholonomic mechanics, control and stabilization, optimal control, energy-based and recent energy-based techniques for mechanical |
出版日期 | Textbook 2015Latest edition |
关键词 | Geometric control theory; Nonholonomic systems; constrainted systems; control theory; geometric mechanic |
版次 | 2 |
doi | https://doi.org/10.1007/978-1-4939-3017-3 |
isbn_softcover | 978-1-4939-3821-6 |
isbn_ebook | 978-1-4939-3017-3Series ISSN 0939-6047 Series E-ISSN 2196-9973 |
issn_series | 0939-6047 |
copyright | Springer Science+Business Media, LLC, part of Springer Nature 2015 |