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 …

Performance safety enforcement in strongly connected timed event graphs

Z He, Z Ma, W Tang - Automatica, 2021 - Elsevier
In this paper, we tackle the performance safety enforcing problem in plants modeled by
timed event graphs that are a subclass of timed Petri nets. We assume that a malicious …

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 …

The model matching problem for max-plus linear systems: a geometric approach

D Animobono, D Scaradozzi, E Zattoni… - … on Automatic Control, 2022 - ieeexplore.ieee.org
Linear systems over the max-plus algebra provide a suitable formalism to model discrete-
event systems where synchronization, without competition, is involved. In this article, we …

Sparsity in max-plus algebra and systems

A Tsiamis, P Maragos - Discrete Event Dynamic Systems, 2019 - Springer
We study sparsity in the max-plus algebraic setting. We seek both exact and approximate
solutions of the max-plus linear equation with minimum cardinality of support. In the former …

Synchronization and Sub-synchronization Problems for Switching Max-Plus Systems: Structural Solvability Conditions

D Animobono, E Zattoni, D Scaradozzi… - … on Automatic Control, 2024 - ieeexplore.ieee.org
Switching linear systems over the max-plus algebra can be used to model production plants
where different choices in resource allocation are possible. In such case, internal and …

Modelling a Shoal of Marine Biomimetic Vehicles: a Max-Plus Algebra Approach

V Bartolucci - 2024 - iris.univpm.it
This thesis introduces a novel approach to model the coordinated behaviour of fish robots
for underwater exploration. A shoal of three biomimetic vehicles is here considered, each …

Robust controllers in disturbance decoupling of uncertain max-plus linear systems: an application to a high throughput screening system for drug discovery

Y Shang, L Hardouin, M Lhommeau… - 2016 13th International …, 2016 - ieeexplore.ieee.org
This paper presents robust controllers solving the disturbance decoupling problem (DDP) of
a class of uncertain max-plus linear systems, whose system matrices vary between intervals …