Abstract
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 language | English (US) |
|---|---|
| Pages (from-to) | 288-293 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 1 |
| State | Published - 1993 |
| Event | Proceedings of the 32nd Conference on Decision and Control - San Antonio, TX, USA Duration: Dec 15 1993 → Dec 15 1993 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization