On the duality between consensus problems and Markov processes, with application to delay systems
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914221945520128 |
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| author | Atay, Fatihcan M. |
| author_facet | Atay, Fatihcan M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22554 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the duality between consensus problems and Markov processes, with application to delay systems Atay, Fatihcan M. Probability Mathematical Physics 34D06, 34K06, 60J10, 60J27 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. |
| title | On the duality between consensus problems and Markov processes, with application to delay systems |
| topic | Probability Mathematical Physics 34D06, 34K06, 60J10, 60J27 |
| url | https://arxiv.org/abs/2512.22554 |