The goal of this book is to explore some of the connections between control theory and geometric mechanics; that is, control theory is linked. Our goal in this book is to explore some of the connections between control theory and geometric mechanics; that is, we link control theory with. Anthony M. Bloch is professor of mathematics at the Uni- connections to control theory. reason that nonholonomic mechanics is nonvari-.
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Nonholonomic Mechanics and Control: With the Collaboration of J. Description This book explores connections between mecuanics theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in andd its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints.
The synthesis is appropriate as there is a rich connection between mechanics and nonlinear control theory. The book provides a unified treatment mehcanics nonlinear control theory and constrained mechanical systems that incorporates material not available in other recent texts.
The book benefits graduate students and researchers in the area who want to enhance their understanding and enhance their techniques.
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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.
Mexhanics controllability and optimal control are treated, including the Pontryagin maximum principle. In addition, the stability, control, and stabilization of mechanical systems are discussed.
Nonholonomic Mechanics and Control : With the Collaboration of J.Baillieul, P.Crouch and J.Marsden
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 medhanics 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.
Table of contents Introduction. Review Text From the reviews: The analysis and control of mechanical systems has been an active research area over the last several decades.
Nonholonomic Mechanics and Control : Anthony Bloch :
This book aims to present some of this material, nonholpnomic scattered throughout the literature, in a cohesive manner. Although, unavoidably, the opening chapters provide only a ‘crash course’ at mecyanics points, the material has been written with much care.
In fact, in many cases, the clarity of the presentation is unmatched elsewhere in the literature. This book is a welcome addition to the existing literature and will certainly become a standard reference. It is to be expected that Bloch’s book will be a continuing source of nonhplonomic for further research in this area.
In summary, this is a delightful book that will be valuable for both the control community and researchers working on the geometric theory of mechanical systems. With its extensive illustrations and exercises, this book is eminently suited for nonhloonomic graduate controo.
The author should be congratulated for such an admirable job. A well-written and comprehensive reference that can be used as nonholoonomic graduate-level textbook, complete with exercises. The book also gives a nice history of the development of the methods covered, and it is an excellent resource for references for further reading. The book’s background material in differential geometry, mechanics, and geometric control gives the book a timeless feel, while the extensive coverage of recent research results conveys the vitality of the field.
This book will make an excellent reference for students and researchers in differential geometric control. It will also make a fine abd for engineering graduate students with a background in differential geometry. For graduate students with a more traditional engineering conhrol background, portions of this book can be coupled with supplementary reading and example-based introduction of the relevant mathematical concepts.
Bloch’s book will be a continuing source of inspiration for further research in this area. This book can be considered as a mixture between a research monograph and a textbook, as a lot of exercises After reading this book the reader will be convinced that the aim of the book The book constitutes an accurate reflection of this work, and covers a broad variety of topics and problems concerning nonholonomic systems and contro show more.
Review quote From the reviews: The book constitutes an accurate reflection of this work, and covers a broad variety of topics and problems concerning nonholonomic systems and control. The result is a well-written and comprehensive nonnholonomic The book’s background material It will also make a fine textbook for engineering graduate students Book ratings by Goodreads. Goodreads is the world’s largest site for readers with over 50 million reviews.
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