非光滑系统最大Lyapunov指数的同步估计

Procedia IUTAM Pub Date : 2017-01-01 DOI:10.1016/j.piutam.2017.03.005

Michael Baumann , Remco I. Leine

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引用次数: 7

摘要

非光滑系统的最大李雅普诺夫指数是实现全状态同步所需的比例反馈增益的下界。本文在测度微分包含的框架下，对一般非光滑系统证明了这一命题。结果用于混沌同步估计最大李雅普诺夫指数，并在一个冲击振荡器上进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Synchronization-based Estimation of the Maximal Lyapunov Exponent of Nonsmooth Systems

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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Procedia IUTAM

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