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A Variational Approach to Nonsmooth DynamicsStability Analysis of Second-Order Nonsmooth Dynamics

A Variational Approach to Nonsmooth Dynamics: Stability Analysis of Second-Order Nonsmooth Dynamics [This chapter provides a mathematical theory applicable to the study of second-order dynamic systems with unilateral contact and friction. Conditions ensuring stability (in the sense of Lyapunov), attractivity, and asmptotic stability are given. Some illustrative small-sized examples in unilateral mechanics and in nonregular electrical circuits are also presented. Finally, a rigorous mathematical stability analysis of a DC-DC Buck converter is presented by using tools from nonsmooth and variational analysis.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Variational Approach to Nonsmooth DynamicsStability Analysis of Second-Order Nonsmooth Dynamics

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2017
ISBN
978-3-319-68657-8
Pages
71 –102
DOI
10.1007/978-3-319-68658-5_4
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter provides a mathematical theory applicable to the study of second-order dynamic systems with unilateral contact and friction. Conditions ensuring stability (in the sense of Lyapunov), attractivity, and asmptotic stability are given. Some illustrative small-sized examples in unilateral mechanics and in nonregular electrical circuits are also presented. Finally, a rigorous mathematical stability analysis of a DC-DC Buck converter is presented by using tools from nonsmooth and variational analysis.]

Published: Feb 20, 2018

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