Open AccessTowards a Geometric Theory of Hybrid Systems
Author(s) -
Slobodan N. Simić,
Karl Henrik Johansson,
Shankar Sastry,
John Lygeros
Publication year - 2000
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-67259-1
DOI - 10.1007/3-540-46430-1_35
Subject(s) - computer science , zeno's paradoxes , hybrid system , phenomenon , stability (learning theory) , theoretical computer science , mathematics , machine learning , geometry , physics , quantum mechanics
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.QC 2011082
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