Analysis of P-time event graphs in (max,+) and (min,+) semirings

DOI10.1080/00207721.2020.1837992zbMath1483.93407arXiv2003.04703OpenAlexW3126743238MaRDI QIDQ5028000

Sébastien Lahaye, Jan Komenda, Pavel Spacek

Publication date: 8 February 2022

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.04703

zbMATH Keywords

residuation theorycycle timeP-time event graphs(max, +) algebra(min, +) algebra

Mathematics Subject Classification ID

Discrete event control/observation systems (93C65) Algebraic methods (93B25) Max-plus and related algebras (15A80)

Related Items (1)

The non-positive circuit weight problem in parametric graphs: a solution based on dioid theory

Cites Work

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• Cycle time of a P-time event graph with affine-interdependent residence durations
• On the control of max-plus linear system subject to state restriction
• Duality and interval analysis over idempotent semirings
• On max-plus linear dynamical system theory: the regulation problem
• Reducible Spectral Theory with Applications to the Robustness of Matrices in Max-Algebra
• Modeling and analysis of timed Petri nets using heaps of pieces
• Control of an electroplating line in the max and min algebras
• Optimal Control Synthesis of Timed Event Graphs With Interval Model Specifications
• 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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