WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 20, 2025
On Modelling of Autonomous Cooperative Robotics in Monoidal Category of Binary Relations
Author:
Abstract: The game theoretical approach is applied to cooperative robotics simulation. Robots’ team is
regarded as a multiagent system. Robots are universal intellectual players that might maximize their
preferences and relations. Acting autonomously, they are to service the given set of requirements submitted to
some precedence relation. To achieve this, robots use information exchange to build optimal communications
networks on the base of natural coalitions. The latter is the result of their rational strategies application. The
agents’ activity leans on a distributed algorithm to find an optimal scheduling. Relational Bellman’s method
contributes to the search for an equilibrium of the game. The approach to cooperative robotics admits scalable
realization due to the polynomial complexity of the algorithm.
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Keywords: Monoidal category, preferences, precedence, dynamic, game results, and Bellman’s relations,
relational scheduling, natural ordering, coalition, communications structure, equilibrium
Pages: 110-115
DOI: 10.37394/23203.2025.20.13