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

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 prope...

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Published in:	IEEE transactions on automatic control 2007-12, Vol.52 (12), p.2282-2297
Main Authors:	Sanfelice, R.G., Goebel, R., Teel, A.R.
Format:	Article
Language:	English
Subjects:	Applied sciences Asymptotic properties Asymptotic stability Automatic control Computer science control theory systems Control systems Control theory. Systems Convergence detectability Exact sciences and technology Feedback graphical convergence Hybrid systems Initial conditions Invariance invariance principles Joints Mathematical model Military computing Modelling and identification Noise robustness Observability Power system modeling Robust control Stability Vehicle dynamics
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creator	Sanfelice, R.G. Goebel, R. Teel, A.R.
description	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.
doi_str_mv	10.1109/TAC.2007.910684
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source	IEEE Xplore (Online service)
subjects	Applied sciences Asymptotic properties Asymptotic stability Automatic control Computer science control theory systems Control systems Control theory. Systems Convergence detectability Exact sciences and technology Feedback graphical convergence Hybrid systems Initial conditions Invariance invariance principles Joints Mathematical model Military computing Modelling and identification Noise robustness Observability Power system modeling Robust control Stability Vehicle dynamics
title	Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability
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