Periodic oscillations in systems with hysteresis

Subbarao Varigonda, Tryphon T. Georgiou

Research output: Contribution to journalConference articlepeer-review


In this note we study the dynamics of a feedback system with hysteresis. The identification of switching surfaces in state space naturally gives rise to a Poincare map whose fixed points represent the periodic orbits of the system. For linear systems in feedback with a relay hysteresis nonlinearity, necessary and sufficient conditions for the existence of unimodal periodic solutions are obtained and the stability of the periodic orbit is analyzed.

Original languageEnglish (US)
Pages (from-to)3837-3842
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1999
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999


Dive into the research topics of 'Periodic oscillations in systems with hysteresis'. Together they form a unique fingerprint.

Cite this