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Computer Science > Formal Languages and Automata Theory

arXiv:2111.10318 (cs)
[Submitted on 19 Nov 2021]

Title:Max-algebraic hybrid automata: Modelling and equivalences

Authors:A. Gupta, B. De Schutter, J. van der Woude, T. van den Boom
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Abstract:This article introduces the novel framework of max-algebraic hybrid automata as a hybrid modelling language in the max-plus algebra. We show that the modelling framework unifies and extends the switching max-plus linear systems framework and is analogous to the discrete hybrid automata framework in conventional algebra. In addition, we show that the framework serves as a bridge between automata-theoretic models in max-plus algebra and switching max-plus linear systems. In doing so, we formalise the relationship between max-plus automata and switching max-plus linear systems in a behavioural sense. This also serves as another step towards importing tools for analysis and optimal control from conventional time-driven hybrid systems to discrete-event systems in max-plus algebra.
Comments: 13 pages, 6 figures, submitted to Automatica
Subjects: Formal Languages and Automata Theory (cs.FL); Systems and Control (eess.SY)
Cite as: arXiv:2111.10318 [cs.FL]
  (or arXiv:2111.10318v1 [cs.FL] for this version)
  https://doi.org/10.48550/arXiv.2111.10318

Submission history

From: Abhimanyu Gupta [view email]
[v1] Fri, 19 Nov 2021 17:00:25 UTC (820 KB)
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