The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Distributed Primal–Dual Subgradient Method for Multiagent Optimization via Consensus Algorithms
Abstract
This paper studies the problem of optimizing the sum of multiple agents' local convex objective functions, subject to global convex inequality constraints and a convex state constraint set over a network. Through characterizing the primal and dual optimal solutions as the saddle points of the Lagrangian function associated with the problem, we propose a distributed algorithm, named the distributed primal-dual subgradient method, to provide approximate saddle points of the Lagrangian function, based on the distributed average consensus algorithms. Under Slater's condition, we obtain bounds on the convergence properties of the proposed method for a constant step size. Simulation examples are provided to demonstrate the effectiveness of the proposed method.
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Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
Olfati-Saber, R., & Murray, R. M. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.834113 · Cited by 12,788 · cited 1×
“INTRODUCTION THERE HAS been much research interest in the distributed consensus algorithms, in which multiple agents collectively try to agree on the same state value (a scalar or vector) in an iterative and distributed pattern [1], [2], [6], [9], [18], [19], [27].”
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Coordination of groups of mobile autonomous agents using nearest neighbor rules
Jadbabaie, A., Lin, J., & Morse, A. S. (2003) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2003.812781 · Cited by 8,339
Consensus seeking in multiagent systems under dynamically changing interaction topologies
Ren, W., & Beard, R. W. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.846556 · Cited by 6,569
Distributed Subgradient Methods for Multi-Agent Optimization
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Information consensus in multivehicle cooperative control
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Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint
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Cited by
A survey of distributed optimization
Yang, T., Yi, X., Wu, J., Yuan, Y., Wu, D., Meng, Z., Hong, Y., Wang, H., Lin, Z., & Johansson, K. H. (2019) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2019.05.006 · Cited by 913
Distributed Constrained Optimization by Consensus-Based Primal-Dual Perturbation Method
Chang, T.-H., Nedic, A., & Scaglione, A. (2014) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2014.2308612 · Cited by 401
Distributed Optimization for Multiagent Systems: An Edge-Based Fixed-Time Consensus Approach
Ning, B., Han, Q.-L., & Zuo, Z. (2019) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2017.2766762 · Cited by 328
Optimization for Reinforcement Learning: From a single agent to cooperative agents
Lee, D., He, N., Kamalaruban, P., & Cevher, V. (2020) · IEEE Signal Processing Magazine · doi:10.1109/msp.2020.2976000 · Cited by 113
Lü, Q., & Li, H. (2016) · arXiv · doi:10.48550/arxiv.1611.00990 · Cited by 54
Metadata
- Authors
- Yuan, D., Xu, S., & Zhao, H.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)
- Published
- 2011-12
- Volume
- 41
- Issue
- 6
- Pages
- 1715-1724
- ISSN
- 1083-4419 (ISSN-L)
- 1941-0492
- OpenAlex
- W2107338086
- Cited by
- 255
- References
- 31
- FWCI
- 10.55
- Type
- journal article
- Language
- en
- Open access
- closed
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- Yuan, D., Xu, S., & Zhao, H. (2011). Distributed Primal–Dual Subgradient Method for Multiagent Optimization via Consensus Algorithms. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics). https://doi.org/10.1109/tsmcb.2011.2160394
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