Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 2008 | Submitted + Published
Book Section - Chapter Open

Stability of Zeno equilibria in Lagrangian hybrid systems

Abstract

This paper presents both necessary and sufficient conditions for the stability of Zeno equilibria in Lagrangian hybrid systems, i.e., hybrid systems that model mechanical systems undergoing impacts. These conditions for stability are motivated by the sufficient conditions for Zeno behavior in Lagrangian hybrid systems obtained in we show that the same conditions that imply the existence of Zeno behavior near Zeno equilibria imply the stability of the Zeno equilibria. This paper, therefore, not only presents conditions for the stability of Zeno equilibria, but directly relates the stability of Zeno equilibria to the existence of Zeno behavior.

Additional Information

© 2008 IEEE. Y. Or is supported by Fulbright Postdoctoral Fellowship and Bikura Postdoctoral Scholarship of the Israeli Science Foundation.

Attached Files

Published - 04739235.pdf

Submitted - StabilityofZenoCDClong.pdf

Files

04739235.pdf
Files (748.8 kB)
Name Size Download all
md5:192122b1f7d7a3892c52d447875c38c1
378.4 kB Preview Download
md5:d25a5d03dedda64a09a9e4c138aed3e8
370.4 kB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 20, 2023