Published January 21, 2008
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Lyapunov-Like Conditions for the Existence of Zeno Behavior in Hybrid and Lagrangian Hybrid Systems
- Creators
- Lamperski, Andrew
-
Ames, Aaron D.
Chicago
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Abstract
Lyapunov-like conditions that utilize generalizations of energy and barrier functions certifying Zeno behavior near Zeno equilibria are presented. To better illustrate these conditions, we will study them in the context of Lagrangian hybrid systems. Through the observation that Lagrangian hybrid systems with isolated Zeno equilibria must have a one- dimensional configuration space, we utilize our Lyapunov-like conditions to obtain easily verifiable necessary and sufficient conditions for the existence of Zeno behavior in systems of this form.
Additional Information
© 2007 IEEE. Issue Date: 12-14 Dec. 2007; Date of Current Version: 21 January 2008.Attached Files
Published - Lamperski2007p8847Proceedings_Of_The_46Th_Ieee_Conference_On_Decision_And_Control_Vols_1-14.pdf
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Additional details
- Eprint ID
- 19878
- Resolver ID
- CaltechAUTHORS:20100910-155719194
- Created
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2010-09-16Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field
- Other Numbering System Name
- INSPEC Accession Number
- Other Numbering System Identifier
- 9886101