Nonsmooth Mechanics
Autor: | Bernard Brogliato |
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EAN: | 9783319286648 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 29.02.2016 |
Untertitel: | Models, Dynamics and Control |
Kategorie: | |
Schlagworte: | Complementarity Problems and Systems Convex Analysis and Complementarity Theory Hybrid Dynamical Systems Impact and Contact Mechanics Impulsive Systems Mechanical Systems with Constraints Moreau's Sweeping Process and Variational Inequalities |
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Nonsmooth Mechanics (third edition) retains the topical structure familiar from its predecessors but has been substantially rewritten, edited and updated to account for the significant body of results that have emerged in the twenty-first century-including developments in:
- the existence and uniqueness of solutions;
- impact models;
- extension of the Lagrange-Dirichlet theorem and trajectory tracking; and
- well-posedness of contact complementarity problems with and without friction.
Many figures (both new and redrawn to improve the clarity of the presentation) and examples are used to illustrate the theoretical developments. Material introducing the mathematics of nonsmooth mechanics has been improved to reflect the broad range of applications interest that has developed since publication of the second edition. The detail of some mathematical essentials is provided in four appendices.
With its improved bibliography of over 1,300 references and wide-ranging coverage, Nonsmooth Mechanics (third edition) is sure to be an invaluable resource for researchers and postgraduates studying the control of mechanical systems, robotics, granular matter and relevant fields of applied mathematics.
'The book's two best features, in my view are its detailed survey of the literature... and its detailed presentation of many examples illustrating both the techniques and their limitations... For readers interested in the field, this book will serve as an excellent introductory survey.'
Andrew Lewis in Automatica
'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.'
Panagiotis D. Panagiotopoulos in Mathematical Reviews
'The presentation is excellent in combining rigorous mathematics with a great number of examples... allowing the reader to understand the basic concepts.'
Hans Troger in Mathematical Abstracts
<Bernard Brogliato is Senior Researcher at INRIA Grenoble, France, where he founded and leads the team BIPOP. He published more than 70 journal articles in the fields of systems and Control, Solid Mechanics, and Applied Mathematics, as well as 5 monographs. His research interests are in non-smooth dynamical systems (mechanical systems with constraints, impacts, friction, electrical circuits with non-smooth components, sliding-mode control, optimal control with state constraints), and dissipative systems. He was an Associate Editor for Automatica, and the chairman of two Euromech Colloquia dedicated to Impact Mechanics. He coordinated the FP5 European project SICONOS (2 million euros fundings, 13 partners), and two projects funded by the French National Agency for Scientific Research, on multiple impacts and discrete-time sliding mode control.