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arXiv · 2512.22554

On the duality between consensus problems and Markov processes, with application to delay systems

Fatihcan M. Atay
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Abstract

We consider consensus of multi-agent systems as a dual problem to Markov processes. Based on an exchange of relevant notions and results between the two fields, we present a uniform framework which admits the introduction and treatment of time delays in a common setting. We study both information propagation and information processing delays, and for each case derive conditions for reaching consensus and calculate the consensus value.

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Fatihcan M. Atay. 2025-12-27. On the duality between consensus problems and Markov processes, with application to delay systems. https://arxiv.org/abs/2512.22554

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