Dynamics of switched arrival systems with thresholds

C. Horn, P. J. Ramadge

Research output: Contribution to journalConference articlepeer-review

14 Scopus citations


In this paper we examine a controlled single server fluid model where upper and lower limits are placed on the buffers. We study the case of a three buffer system in detail and describe the variety of possible closed loop behaviour between chaotic and periodic. The method of analysis is significantly different from the analysis in [1] for switched arrival systems with no thresholds. In particular, we take a topological rather than statistical approach to chaos in this paper. Also, we employ symbolic dynamics as an aid in the study of such systems and relate switched arrival systems with no upper limits to a particular subshift of finite type.

Original languageEnglish (US)
Pages (from-to)288-293
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1993
EventProceedings of the 32nd Conference on Decision and Control - San Antonio, TX, USA
Duration: Dec 15 1993Dec 15 1993

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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