On the control of max-plus linear system subject to state restriction

CA Maia, CR Andrade, L Hardouin - Automatica, 2011 - Elsevier
This paper deals with the control of discrete event systems subject to synchronization and
time delay phenomena, which can be described by using the max-plus algebra. The …

Control and state estimation for max-plus linear systems

L Hardouin, B Cottenceau, Y Shang… - … and Trends® in …, 2018 - nowpublishers.com
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 …

Observer Design for Linear Systems

L Hardouin, CA Maia, B Cottenceau… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
This technical note deals with the state estimation for max-plus linear systems. This
estimation is carried out following the ideas of the observer method for classical linear …

Scheduling and control of high throughput screening systems with uncertainties and disturbances

A Oke, L Hardouin, X Chen, Y Shang - Production & Manufacturing …, 2022 - Taylor & Francis
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 …

Observer-based controllers for max-plus linear systems

L Hardouin, Y Shang, CA Maia… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
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 …

Modeling and control of weight-balanced timed event graphs in dioids

B Cottenceau, L Hardouin… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
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 …

Duality and interval analysis over idempotent semirings

T Brunsch, L Hardouin, CA Maia, J Raisch - Linear algebra and its …, 2012 - Elsevier
In this paper semirings with an idempotent addition are considered. These algebraic
structures are endowed with a partial order. This allows to consider residuated maps to …

Interval systems over idempotent semiring

L Hardouin, B Cottenceau, M Lhommeau… - Linear Algebra and its …, 2009 - Elsevier
This paper deals with solution of inequality A⊗ x⪯ b, where A, x and b are interval matrices
with entries defined over idempotent semiring. It deals also with the computation of a pair of …

A super-eigenvector approach to control constrained max-plus linear systems

CA Maia, L Hardouin… - 2011 50th IEEE …, 2011 - ieeexplore.ieee.org
The control of timed Petri nets subject to synchronization and time delay phenomena is
addressed in this paper. This class of timed Petri nets can be described by using the max …