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Towards a geometric theory of hybrid systems

Author(s):

S. N. Simic, K. H. Johansson, J. Lygeros, S. Sastry
Conference/Journal:

Dynamics of Discrete, Continuous and Impulsive Systems, vol. 12, no. 5-6, pp. 649-687, series B
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.

Year:

2005
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@Article { SimEtal:2005:IFA_2591,
    author={S. N. Simic and K. H. Johansson and J. Lygeros and S. Sastry},
    title={{Towards a geometric theory of hybrid systems}},
    journal={Dynamics of Discrete, Continuous and Impulsive Systems},
    year={2005},
    volume={12},
    number={5-6},
    pages={649--687},
    month=may,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=2591}
}
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