TY - GEN
T1 - Lyapunov-like conditions for the existence of zeno behavior in hybrid and lagrangian hybrid systems
AU - Lamperski, Andrew
AU - Ames, Aaron D.
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
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U2 - 10.1109/CDC.2007.4435003
DO - 10.1109/CDC.2007.4435003
M3 - Conference contribution
AN - SCOPUS:62749144579
SN - 1424414989
SN - 9781424414987
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 115
EP - 120
BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 46th IEEE Conference on Decision and Control 2007, CDC
Y2 - 12 December 2007 through 14 December 2007
ER -