**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.

Corresponding technical report: pdf file (117 KB)

@inproceedings{DeS:99-02,

author={B. {D}e Schutter},

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}

}

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