Automatically assigned DDC number: 00419
Manually assigned DDC number: 00419
Number of references: 16
Title: Towards a Geometric Theory of Hybrid Systems
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Subject: Slobodan N. Simi'c,Karl Henrik Johansson,John Lygeros,Shankar Sastry Towards a Geometric Theory of Hybrid Systems
Description: 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 Zeno states in dimension two. 1 Introduction Any system which changes in time and involves interactions between continuous processes and discrete automata can be viewed as a hybrid system. The name comes from the hybrid nature of its evolution: intervals of continuous-time change are combined with instanteneous, discrete jumps. Hybrid systems have been a topic of great interest, primarily in the control and computer theory communities. Motivated by applicati...
Contributor: The Pennsylvania State University CiteSeer Archives
Publisher: unknown
Date: 2000-11-06
Pubyear: 2000
Format: ps
Identifier: http://citeseer.ist.psu.edu/399286.html
Source: http://robotics.eecs.berkeley.edu/~simic/PS/hybrifold_j.ps
Language: en
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Rights: unrestricted
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