不连续系统中拉萨尔不变性原理的推广

2012 24th Chinese Control and Decision Conference (CCDC) Pub Date : 2012-05-23 DOI:10.1109/CCDC.2012.6244562

Jumei Wei, X. Mu, Rui Ma

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引用次数: 0

摘要

本文考虑了不连续的右侧动力系统。利用局部Lipschitz连续非病理Lyapunnov函数，对LaSalle不变性原理进行了推广。这一结果可用于所研究系统混沌吸引子的定位，并且所需要的限制条件较少。通过数值算例说明了该定理的正确性。

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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An extension of LaSalle's invariance principle for discontinuous systems

In this paper, discontinuous righthand sides dynamical systems are considered. An extension of LaSalle invariance principle is presented by using locally Lipschitz continuous and nonpathological Lyapunnov functions. This result is used to locate chaotic attractors of studied systems, and less restrictive conditions are required. Numerical example has been given to illustrate the correctness of the theorem.

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2012 24th Chinese Control and Decision Conference (CCDC)

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