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CDC
2008
IEEE

On the existence of Zeno behavior in hybrid systems with non-isolated Zeno equilibria

10 years 5 months ago
On the existence of Zeno behavior in hybrid systems with non-isolated Zeno equilibria
Abstract— This paper presents proof-certificate based sufficient conditions for the existence of Zeno behavior in hybrid systems near non-isolated Zeno equilibria. To establish these conditions, we first prove sufficient conditions for Zeno behavior in a special class of hybrid systems termed first quadrant interval hybrid systems. The proof-certificate sufficient conditions are then obtained through a collection of functions that effectively “reduce” a general hybrid system to a first quadrant interval hybrid system. This paper concludes with an application of these ideas to Lagrangian hybrid systems, resulting in easily verifiable sufficient conditions for Zeno behavior.
Andrew G. Lamperski, Aaron D. Ames
Added 29 May 2010
Updated 29 May 2010
Type Conference
Year 2008
Where CDC
Authors Andrew G. Lamperski, Aaron D. Ames
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