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Open AccessArticle

n-Ary Cartesian Composition of Multiautomata with Internal Link for Autonomous Control of Lane Shifting

CDV—Transport Research Centre, Líšeňská 33a, 636 00 Brno, Czech Republic
Mathematics 2020, 8(5), 835; https://doi.org/10.3390/math8050835
Received: 27 April 2020 / Revised: 12 May 2020 / Accepted: 19 May 2020 / Published: 21 May 2020
(This article belongs to the Special Issue Hypercompositional Algebra and Applications)
In this paper, which is based on a real-life motivation, we present an algebraic theory of automata and multi-automata. We combine these (multi-)automata using the products introduced by W. Dörfler, where we work with the cartesian composition and we define the internal links among multiautomata by means of the internal links’ matrix. We used the obtained product of n-ary multi-automata as a system that models and controls certain traffic situations (lane shifting) for autonomous vehicles. View Full-Text
Keywords: hypergroup; automata theory; cartesian composition; autonomous vehicles; cooperative intelligent transport systems hypergroup; automata theory; cartesian composition; autonomous vehicles; cooperative intelligent transport systems
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MDPI and ACS Style

Křehlík, Š. n-Ary Cartesian Composition of Multiautomata with Internal Link for Autonomous Control of Lane Shifting. Mathematics 2020, 8, 835.

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