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The objective of this paper is to provide a concise introduction to the max-plus algebra and
to max-plus linear discrete-event systems. We present the basic concepts of the max-plus …

Max-plus linear systems theory was inspired by and originated from classical linear systems
theory more than three decades ago, with the purpose of dealing with nonlinear …

The state estimation problem is a fundamental issue in discrete event systems. Partial
observations arise when the occurrence of some events cannot be detected. The considered …

Based on the existing research work on the modeling and control of cyclically operated high-
throughput screening systems, this paper presents the scheduling and control of high …

We extend the notions of conditioned and controlled invariant spaces to linear dynamical
systems over the max-plus or tropical semiring. We establish a duality theorem relating both …

Max-plus algebra is a suitable algebraic setting to model discrete event systems involving
synchronization and delay phenomena which are often found in transportation networks …

This paper presents the new investigations on the disturbance decoupling problem (DDP)
for the geometric control of max-plus linear systems. The classical DDP concept in the …

The class of timed event graphs (TEGs) has widely been studied thanks to an approach
known as the theory of max-plus linear systems. In particular, the modeling of TEGs via …

Practical control of timed behaviours in industrial applications is difficult. One of the few
efficient modelling approaches to deal with time constraints on discrete event systems is to …