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This significantly enlarged and expanded second edition focuses on a class of nonsmooth hybrid dynamical systems, namely finite-dimensional mechanical systems subject to unilateral constraints. It contains a complete overview of the main problems in mathematics, mechanics, stability and control which are of interest in this field. The following topics are discussed in detail and are illustrated with examples: shock dynamics; multiple impacts; feedback control; Moreau's sweeping process; and complementarity formulations. With a comprehensive bibliography of over a thousand references, Nonsmooth Dynamics is an indispensable source of information on impact phenomena and rigid-body dynamics. Praise for the first edition: The presentation is excellent in combining rigorous mathematics with a great number of examples ranging from simple mechanical systems to robotic systems allowing the reader to understand the basic concepts. Mathematical Abstracts It is written with clarity, contains the latest research results in the area of impact problems for rigid bodies and is recommended for both applied mathematicians and engineers. Mathematical Reviews.
This second edition investigates nonsmooth hybrid dynamical systems, specifically finite-dimensional mechanical systems with unilateral constraints. The book provides a comprehensive overview of key mathematical, mechanical, stability, and control problems within this field. It details topics such as shock dynamics, multiple impacts, feedback control, Moreau's sweeping process, and complementarity formulations, supported by numerous examples ranging from simple mechanical systems to robotic applications. The text aims to bridge rigorous mathematical theory with practical engineering applications, drawing on extensive research and a bibliography of over a thousand references.
The second edition of Nonsmooth Mechanics is recognized for its significant expansion and detailed focus on nonsmooth hybrid dynamical systems, particularly those involving unilateral constraints in mechanics. Praised in its first edition for excellently combining rigorous mathematics with a wealth of examples, it is noted for its clarity and inclusion of the latest research in impact problems for rigid bodies. The book is recommended for both applied mathematicians and engineers seeking to understand basic concepts and advanced research in the field.
Page Count:
649
Publication Date:
2018-01-01
ISBN-10:
3319804014
ISBN-13:
9783319804019
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