Reference
B. De Schutter, "Optimal control of a class of linear hybrid systems with
saturation,"
Proceedings of the 38th IEEE Conference on
Decision and Control, Phoenix, Arizona, pp. 3978-3983, Dec. 1999.
Abstract
We consider a class of queueing systems that can operate in several modes; in
each mode the queue lengths exhibit a linear growth until a specified upper or
lower level is reached, after which the queue length stays at that level until
the end of the mode. We present some methods to determine the optimal switching
time instants that minimize a criterion such as average queue length, worst
case queue length, average waiting time, and so on. We show that if there is no
upper saturation then for some objective functions the optimal switching scheme
can be computed very efficiently.
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BibTeX
@inproceedings{DeS:99-02,
author = {De Schutter, Bart},
title = {Optimal Control of a Class of Linear Hybrid Systems with
Saturation},
booktitle = {Proceedings of the 38th IEEE Conference on Decision and
Control},
address = {Phoenix, Arizona},
pages = {3978--3983},
month = dec,
year = {1999}
}