Towards a geometric theory of hybrid systems
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
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.
hybrid system, dynamical system, hybrifold, Zeno, topological equivalence
IdentifiersURN: urn:nbn:se:kth:diva-38470ISI: 000233492000001ScopusID: 2-s2.0-28744457488OAI: oai:DiVA.org:kth-38470DiVA: diva2:437188
QC 201108262011-08-262011-08-262012-01-31Bibliographically approved