A negative Bendixson-like criterion for a class of hybrid systems

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Downloads (Pure)

Abstract

A condition which ensures absence of periodic orbits for nonsmoothdynamical systems is presented. The condition is a higherdimensional generalization of Bendixson's criterion applicable todifferential inclusions. The main argument is based on contractionanalysis of the d-measured volume along the system trajectories.A connection to the methods for estimates of the Hausdorffdimension is emphasized.
Original languageEnglish
Title of host publicationProceedings of the 16th international symposium on mathematical theory of networks and systems (MTNS 2004), Leuven, Belgium, July 2004
Place of Publications.l.
Publishers.n.
Publication statusPublished - 2004

Fingerprint Dive into the research topics of 'A negative Bendixson-like criterion for a class of hybrid systems'. Together they form a unique fingerprint.

Cite this