Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability

Sanfelice R.G.; Goebel R.; Teel A.R.

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Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability

机译：具有可检测性和渐近稳定性的混合系统的不变性原理

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This paper shows several versions of the (LaSalle's) invariance principle for general hybrid systems. The broad framework allows for nonuniqueness of solutions, Zeno behaviors, and does not insist on continuous dependence of solutions on initial conditions. Instead, only a mild structural property involving graphical convergence of solutions is posed. The general invariance results are then specified to hybrid systems given by set-valued data. Further results involving invariance as well as observability, detectability, and asymptotic stability are given.

机译：本文展示了通用混合系统的（LaSalle）不变性原理的几种版本。广泛的框架允许解决方案，芝诺行为的非唯一性，并且不坚持解决方案对初始条件的持续依赖。取而代之的是，仅提出涉及解决方案图形收敛的中等结构特性。然后将一般不变性结果指定给由设定值数据给定的混合系统。给出了涉及不变性以及可观察性，可检测性和渐近稳定性的进一步结果。

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来源
《IEEE Transactions on Automatic Control》 |2007年第12期|p.2282-2297|共16页
作者
Sanfelice R.G.; Goebel R.; Teel A.R.;
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原文格式 PDF
正文语种 eng
中图分类自动化系统;
关键词
asymptotic stability; graph theory; observability; set theory; Zeno behaviors; asymptotic stability; detectability; graphical convergence; hybrid systems; observability; set-valued data; Asymptotic stability; detectability; graphical convergence; hybrid systems; invari;

机译：渐近稳定性;图论;可观性;集合论;Zeno行为;渐近稳定性;可检测性;图形收敛性;混合系统;可观测性;设定值数据;渐近稳定性;可检测性;图形收敛性;混合系统;不变性;

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Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability

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