The Extended Linear Complementarity Problem and Its Applications in
the Analysis and Control of Discrete Event Systems and Hybrid Systems
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.
Downloads
- Corresponding technical report:
pdf
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(281 KB)
Bibtex entry
@inproceedings{DeSDeM:97-34,
author={B. {D}e Schutter and B. {D}e 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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Last update: February 21, 2026.