Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Lyapunov-Like Conditions for the Existence of Zeno Behavior in Hybrid and Lagrangian Hybrid Systems
 

Summary: Lyapunov-Like Conditions for the Existence of Zeno Behavior in
Hybrid and Lagrangian Hybrid Systems
Andrew Lamperski and Aaron D. Ames
Abstract-- Lyapunov-like conditions that utilize generaliza-
tions 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.
I. INTRODUCTION
Zeno behavior occurs in a hybrid system if an infinite
number of discrete transitions occur in a finite amount of
time. The goal of this paper is to study a specific type
of Zeno behavior, namely, Zeno behavior that occurs near
isolated Zeno equilibria. A Zeno equilibrium is a set of
points in the continuous domains of a hybrid system that are

  

Source: Ames, Aaron - Department of Mechanical Engineering, Texas A&M University

 

Collections: Engineering