Global stability of periodic orbits in relay feedback systems

Subbarao Varigonda, Tryphon T Georgiou

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

In this paper, we provide a sufficient condition for the global stability of a periodic orbit using the contraction mapping theorem. The condition is obtained by identifying an invariant set of the system dynamics in which the Poincaré map is continuous and contractive. An upper bound on the norm of the derivative of the map is obtained by exploiting its geometric structure.

Original languageEnglish (US)
Pages (from-to)3843-3847
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
DOIs
StatePublished - Dec 2000

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