Exponential Consensus Formation in Time-Varying Multiagent Systems via Compactification Methods
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909217576714240 |
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| author | Bonnet-Weill, Benoît Sigalotti, Mario |
| author_facet | Bonnet-Weill, Benoît Sigalotti, Mario |
| contents | In this article, we establish exponential contraction results for the diameter and variance of general first-order multiagent systems. Our approach is based on compactification techniques, and works under rather mild assumptions. Namely, we posit that either the scrambling coefficient, or the algebraic connectivity of the averaged interaction graphs of the system over all time windows of a given length are uniformly positive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03286 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential Consensus Formation in Time-Varying Multiagent Systems via Compactification Methods Bonnet-Weill, Benoît Sigalotti, Mario Optimization and Control In this article, we establish exponential contraction results for the diameter and variance of general first-order multiagent systems. Our approach is based on compactification techniques, and works under rather mild assumptions. Namely, we posit that either the scrambling coefficient, or the algebraic connectivity of the averaged interaction graphs of the system over all time windows of a given length are uniformly positive. |
| title | Exponential Consensus Formation in Time-Varying Multiagent Systems via Compactification Methods |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2406.03286 |