Synchronization-based Estimation of the Maximal Lyapunov Exponent of Nonsmooth Systems
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Date
2017
Publication Type
Conference Paper
ETH Bibliography
yes
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Abstract
The maximal Lyapunov exponent of a nonsmooth system is the lower bound for the proportional feedback gain necessary to achieve full state synchronization. In this paper, we prove this statement for the general class of nonsmooth systems in the framework of measure differential inclusions. The results are used to estimate the maximal Lyapunov exponent using chaos synchronization, which is illustrated on an impact oscillator.
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published
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Book title
Journal / series
Volume
20
Pages / Article No.
26 - 33
Publisher
Elsevier
Event
24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016)
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Methods
Software
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Date collected
Date created
Subject
Measure Differential Inclusion; Nonsmooth System; Synchronization; Lyapunov Exponent
Organisational unit
03307 - Dual, Jürg (emeritus) / Dual, Jürg (emeritus)
Notes
Conference lecture on 22 August 2016.