CUED Publications database

Lyapunov-like conditions for the existence of zeno behavior in hybrid and lagrangian hybrid systems

Lamperski, A and Ames, AD (2007) Lyapunov-like conditions for the existence of zeno behavior in hybrid and lagrangian hybrid systems. In: UNSPECIFIED pp. 115-120..

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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 onedimensional 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. © 2007 IEEE.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Computational and Biological Learning
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:26
Last Modified: 08 Dec 2014 02:32
DOI: 10.1109/CDC.2007.4435003