On max-plus linear dynamical system theory: the regulation problem

DOI10.1016/j.automatica.2016.09.019zbMath1351.93090OpenAlexW2548592726MaRDI QIDQ2374488

Vinicius Mariano Gonçalves, Laurent Hardouin, Carlos Andrey Maia

Publication date: 15 December 2016

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.09.019

zbMATH Keywords

max-plus algebrageometric controltropical algebratimed-event graphs

Mathematics Subject Classification ID

Feedback control (93B52) Discrete event control/observation systems (93C65) Max-plus and related algebras (15A80)

Related Items (7)

Max-plus approximation for reinforcement learning ⋮ Analysis and control of max-plus linear discrete-event systems: an introduction ⋮ Local and global robustness with \(q\)-step delay for max-plus linear systems ⋮ Closed form of \(L\)-localized solution set of MAX-plus interval linear system and its application on optimization problem ⋮ On max-plus linear dynamical system theory: the observation problem ⋮ An algorithm for solving two-sided interval system of max-plus linear equations ⋮ Analysis of P-time event graphs in (max,+) and (min,+) semirings

Cites Work

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• The level set method for the two-sided max-plus eigenproblem
• TROPICAL POLYHEDRA ARE EQUIVALENT TO MEAN PAYOFF GAMES
• On the Steady-State Control of Timed Event Graphs With Firing Date Constraints
• Max-Plus $(A,B)$-Invariant Spaces and Control of Timed Discrete-Event Systems
• Max-Plus Control Design for Temporal Constraints Meeting in Timed Event Graphs

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