**Reference:**

B. De Schutter and
B. De Moor,
"The extended linear complementarity problem and its applications in
the analysis and control of discrete event systems and hybrid
systems," *Proceedings of the IEEE Singapore International
Symposium on Control Theory and Applications (SISCTA'97)*,
Singapore, pp. 394-398, July 1997.

**Abstract:**

In this paper we first present a mathematical programming problem, the
Extended Linear Complementarity Problem (ELCP). Next we discuss how
the ELCP can be used to solve some basic problems in the system theory
for a class of discrete event systems that can be modeled using the
max-plus algebra, which has maximization and addition as basic
operations. Finally we show that the ELCP also appears in the analysis
of certain classes of hybrid systems.

Corresponding technical report: pdf file (139 KB)

@inproceedings{DeSDeM:97-34,

author={B. {De Schutter} and B. {De Moor}},

title={The extended linear complementarity problem and its applications in the analysis and control of discrete event systems and hybrid systems},

booktitle={Proceedings of the IEEE Singapore International Symposium on Control Theory and Applications (SISCTA'97)},

address={Singapore},

pages={394--398},

month=jul,

year={1997}

}

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