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Stability and Convergence of Mechanical Systems with Unilateral Constraints Remco I. Leine

Stability and Convergence of Mechanical Systems with Unilateral Constraints By Remco I. Leine

Stability and Convergence of Mechanical Systems with Unilateral Constraints by Remco I. Leine


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Summary

While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction.

Stability and Convergence of Mechanical Systems with Unilateral Constraints Summary

Stability and Convergence of Mechanical Systems with Unilateral Constraints by Remco I. Leine

While the stability theory for systems with bilateral constraints is a well-established field, this monograph represents a systematic study of mechanical systems with unilateral constraints, such as unilateral contact, impact and friction. Such unilateral constraints give rise to non-smooth dynamical models for which stability theory is developed in this work. The book will be of interest to those working in the field of non-smooth mechanics and dynamics.

Stability and Convergence of Mechanical Systems with Unilateral Constraints Reviews

From the reviews:

The monograph represents results on stability and attractivity obtained recently for continuous-time dynamical systems formulated as measure differential inclusions. ... Some illustrative examples of convergent mechanical systems with set-valued force laws are presented. The monograph will be of interest to researches and engineers working in the field of non-smooth dynamics and mechanics. (Boris Ivanovich Konosevich, Zentralblatt MATH, Vol. 1143, 2008)

This monograph presents a qualitative analysis of non-smooth mechanical systems. ... Illustrative examples highlight the use and the limits of the theory. ... The monograph is easy to read and the single steps are well motivated and illustrated. (Florian Schmid, Mathematical Reviews, Issue 2009 g)

Table of Contents

Non-smooth Analysis.- Measure and Integration Theory.- Non-smooth Dynamical Systems.- Mechanical Systems with Set-valued Force Laws.- Lyapunov Stability Theory for Measure Differential Inclusions.- Stability Properties in Mechanical Systems.- Convergence Properties of Monotone Measure Differential Inclusions.- Concluding Remarks.

Additional information

NPB9783540769743
9780892365968
089236596X
Stability and Convergence of Mechanical Systems with Unilateral Constraints by Remco I. Leine
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2008-01-17
236
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Stability and Convergence of Mechanical Systems with Unilateral Constraints