Comparison and aggregation of max-plus linear systems

DOI10.1016/j.laa.2003.09.014zbMath1052.15014OpenAlexW2062049055MaRDI QIDQ1826727

Laurent Truffet, James Ledoux

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.09.014

zbMATH Keywords

finite dynamical systemsmax-plus algebralumped systemlumpability

Mathematics Subject Classification ID

Discrete event control/observation systems (93C65) Miscellaneous inequalities involving matrices (15A45) Algebraic systems of matrices (15A30) Semirings (16Y60)

Related Items (1)

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Uses Software

• UMDES

Cites Work

• Monotone matrices and monotone Markov processes
• Minimax algebra
• Markovian bounds on functions of finite Markov chains
• A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing
• A geometric invariant in weak lumpability of finite Markov chains
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