Title | ||
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Ergodicity of Continuous-Time Distributed Averaging Dynamics: A Spanning Directed Rooted Tree Approach |
Abstract | ||
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In this article, we consider time-varying distributed averaging dynamics. Motivated by a necessary condition on the ergodicity, we provide a sufficient condition for the ergodicity of such dynamics. We show that if groups of agents are connected using a directed acyclic graph containing a spanning directed rooted tree and the averaging dynamics restricted to each group is
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, then the dynamics over the whole network is ergodic. In particular, this provides a general condition for convergence of consensus dynamics where
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groups
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of agents capable of reaching consensus follow each other on a time-varying network. |
Year | DOI | Venue |
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2022 | 10.1109/TAC.2021.3085854 | IEEE Transactions on Automatic Control |
Keywords | DocType | Volume |
Consensus,distributed computing,networked control systems | Journal | 67 |
Issue | ISSN | Citations |
2 | 0018-9286 | 0 |
PageRank | References | Authors |
0.34 | 4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Adel Aghajan | 1 | 0 | 0.34 |
Behrouz Touri | 2 | 176 | 21.12 |