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

Author

Listed:
  • Štěpán Křehlík

    (CDV—Transport Research Centre, Líšeňská 33a, 636 00 Brno, Czech Republic)

Abstract

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.

Suggested Citation

  • Štěpán Křehlík, 2020. "n -Ary Cartesian Composition of Multiautomata with Internal Link for Autonomous Control of Lane Shifting," Mathematics, MDPI, vol. 8(5), pages 1-18, May.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:835-:d:361029
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