The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Distributed Continuous-Time Convex Optimization on Weight-Balanced Digraphs
Open accessAbstract
This technical note studies the continuous-time distributed optimization of a sum of convex functions over directed graphs. Contrary to what is known in the consensus literature, where the same dynamics works for both undirected and directed scenarios, we show that the consensus-based dynamics that solves the continuous-time distributed optimization problem for undirected graphs fails to converge when transcribed to the directed setting. This study sets the basis for the design of an alternative distributed dynamics which we show is guaranteed to converge, on any strongly connected weight-balanced digraph, to the set of minimizers of a sum of convex differentiable functions with globally Lipschitz gradients. Our technical approach combines notions of invariance and cocoercivity with the positive definiteness properties of graph matrices to establish the results.
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Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
Consensus and Cooperation in Networked Multi-Agent Systems
Olfati-Saber, R., Fax, J. A., & Murray, R. M. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2006.887293 · Cited by 10,522
Distributed Subgradient Methods for Multi-Agent Optimization
Nedic, A., & Ozdaglar, A. (2009) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2008.2009515 · Cited by 3,719
Graph Theoretic Methods in Multiagent Networks
Mesbahi, M., & Egerstedt, M. (2010) · Princeton University Press eBooks · doi:10.1515/9781400835355 · Cited by 2,897 · cited 2×
“ource localization, and robust estimation, and has been intensively studied in recent years, see e.g. [1], [2], [3], [4], [5], [6]. Most of these works build on consensusbased dynamics [7], [8], [9], [10] to design discrete-time algorithms that find the solution of the optimization problem. A recent exception are the w…”
BackgroundDistributed Consensus in Multi-vehicle Cooperative Control
Ren, W., & Beard, R. W. (2008) · Communications and Control Engineering · doi:10.1007/978-1-84800-015-5 · Cited by 2,826
Distributed asynchronous deterministic and stochastic gradient optimization algorithms
Tsitsiklis, J., Bertsekas, D., & Athans, M. (1986) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1986.1104412 · Cited by 1,967
Distributed optimization in sensor networks
Rabbat, M., & Nowak, R. (2004) · Proceedings of the 3rd international symposium on Information processing in sensor networks · doi:10.1145/984622.984626 · Cited by 901
Cited by
Yi, P., Hong, Y., & Liu, F. (2016) · Automatica · doi:10.1016/j.automatica.2016.08.007 · Cited by 478
Xu, J., Zhu, S., Soh, Y. C., & Xie, L. (2015) · 2015 54th IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2015.7402509 · Cited by 332
Decision Making in Multiagent Systems: A Survey
Rizk, Y., Awad, M., & Tunstel, E. W. (2018) · IEEE Transactions on Cognitive and Developmental Systems · doi:10.1109/tcds.2018.2840971 · Cited by 219
Distributed nonconvex multiagent optimization over time-varying networks
Sun, Y., Scutari, G., & Palomar, D. (2016) · 2016 50th Asilomar Conference on Signals, Systems and Computers · doi:10.1109/acssc.2016.7869154 · Cited by 86
Distributed optimization over time-varying directed graphs
Nedic, A., & Olshevsky, A. (2013) · 52nd IEEE Conference on Decision and Control · doi:10.1109/cdc.2013.6760975 · Cited by 72
Metadata
- Authors
- Gharesifard, B., & Cortes, J.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2014-03
- Volume
- 59
- Issue
- 3
- Pages
- 781-786
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2164642931
- Cited by
- 833
- References
- 7
- FWCI
- 65.11
- Type
- journal article
- Language
- en
- Open access
- green
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