@inproceedings{ecafc03ee47e4ea88e4d8ef4d97d1f58,

title = "Predictability of a class of supervised one-dimensional systems",

abstract = "A one-dimensional discrete-time system for which the transition map is state dependent is analyzed. For each transition a controller selects from among N transition maps according to a function of the current state. For the case in which the maps are contractions, sufficient conditions under which the system behavior can be modeled by a finite-state automaton are demonstrated. In this case the transient and steady-state behavior of the system can be computed. The feedback scheduling policy will have a periodic state, and the actual state of the system will converge exponentially to a periodic orbit. An example using a three-buffer switched server is given.",

author = "Christopher Chase and Peter Ramadge",

year = "1990",

language = "English (US)",

isbn = "0818621087",

series = "Proc 5 IEEE Int Symp Intell Control 90",

publisher = "Publ by IEEE",

pages = "670--675",

booktitle = "Proc 5 IEEE Int Symp Intell Control 90",

note = "Proceedings of the 5th IEEE International Symposium on Intelligent Control 1990 ; Conference date: 05-09-1990 Through 07-09-1990",

}