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Towards a geometric theory of hybrid systems
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0001-9940-5929
2005 (English)In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, ISSN 1492-8760, Vol. 12, no 5-6, 649-687 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2005. Vol. 12, no 5-6, 649-687 p.
Keyword [en]
hybrid system, dynamical system, hybrifold, Zeno, topological equivalence
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-38470ISI: 000233492000001ScopusID: 2-s2.0-28744457488OAI: diva2:437188
QC 20110826Available from: 2011-08-26 Created: 2011-08-26 Last updated: 2012-01-31Bibliographically approved

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