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Nonsmooth Mechanics : Models, Dynamics and Control (Hardcover) (Bernard Brogliato)
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- 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.”