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Titlebook: Nonholonomic Mechanics and Control; A.M. Bloch,P. S. Krishnaprasad,R.M. Murray Textbook 2015Latest edition Springer Science+Business Media

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发表于 2025-3-21 17:50:19 | 显示全部楼层 |阅读模式
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Titlebook: Nonholonomic Mechanics and Control;  A.M. Bloch,P. S. Krishnaprasad,R.M. Murray Textbook 2015Latest edition Springer Science+Business Media
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
doihttps://doi.org/10.1007/978-1-4939-3017-3
isbn_softcover978-1-4939-3821-6
isbn_ebook978-1-4939-3017-3Series ISSN 0939-6047 Series E-ISSN 2196-9973
issn_series 0939-6047
copyrightSpringer Science+Business Media, LLC, part of Springer Nature 2015
The information of publication is updating

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Basic Concepts in Geometric Mechanics, for parts of the rest of this book. Readers well versed in this material may omit part or all of it. Parts of the rest of the book can be read without this material, so the reader can return to it as the need arises.
发表于 2025-3-22 07:50:45 | 显示全部楼层
,An Introduction to Aspects of Geometric Control Theory,formulation, which is important for this book. We do not pretend here to give a comprehensive introduction to this subject; we just touch on a few aspects that are important to our major topics. We mention the books by Jurdjevic [1997], Isidori [1995], Nijmeijer and van der Schaft [1990], Sontag [19
发表于 2025-3-22 11:40:28 | 显示全部楼层
Nonholonomic Mechanics, both the mechanics and the control: Nonintegrable constraint distributions are the essence of nonholonomic systems, while a nonintegrable distribution of control vector fields is the key to controllability of nonlinear systems. We will learn how these two different types of nonintegrability work to
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,Energy-Based Methods for Stabilization of Controlled Lagrangian Systems,onomic systems. The first is the method of controlled Lagrangians (or Hamiltonians) and “matching.” This is developing into a rather large subject, which we just touch on here in order to explain something of the role of connections in the subject and its potential applications to nonholonomic syste
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