In this paper we rst 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...
. First we give a short description of the Extended Linear Complementarity Problem (ELCP), which is a mathematical programming problem. We briey discuss how this problem can be used in the analysis of...
: We demonstrate that the minimal state space realization problem in the max algebra can be transformed into an Extended Linear Complementarity Problem (ELCP). We use an algorithm that nds all solutio...
The topic of this paper is the (partial) minimal realization problem in the max algebra, which is one of the modeling frameworks that can be used to model discrete event systems. We use the fact that ...
The max-plus algebra is one of the frameworks that can be used to model discrete event systems. One of the open problems in the max-plus-algebraic system theory for discrete event systems is the minim...
First we establish a connection between the eld of the real numbers and the extended max algebra, based on asymptotic equivalences. Next we propose a further extension of the extended max algebra that...