Towards a geometric theory of hybrid systems (2000)
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| Venue: | In HSCC’00, number 1790 in LNCS |
| Citations: | 33 - 14 self |
BibTeX
@INPROCEEDINGS{Simić00towardsa,
author = {Slobodan N. Simić and Karl Henrik Johansson and John Lygeros and Shankar Sastry},
title = {Towards a geometric theory of hybrid systems},
booktitle = {In HSCC’00, number 1790 in LNCS},
year = {2000},
pages = {421--436},
publisher = {Springer Verlag}
}
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Abstract
Abstract. We propose a framework for a geometric theory of hybrid systems. Given a deterministic, non-blocking hybrid system, we introduce the notion of its hybrifold with the associated hybrid flow on it. This enables us to study hybrid systems from a global geometric perspective as (generally non-smooth) dynamical systems. This point of view is adopted in studying the Zeno phenomenon. We show that it is due to nonsmoothness of the hybrid flow. We introduce the notion of topological equivalence of hybrid systems and locally classify isolated Zeno states in dimension two.
