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.
|Original language||English (US)|
|Title of host publication||Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC|
|Number of pages||6|
|State||Published - 2007|
|Event||46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States|
Duration: Dec 12 2007 → Dec 14 2007
|Name||Proceedings of the IEEE Conference on Decision and Control|
|Other||46th IEEE Conference on Decision and Control 2007, CDC|
|City||New Orleans, LA|
|Period||12/12/07 → 12/14/07|
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