The DOI matches its Crossref record, with a small difference in title or year; 23 of the 23 references it cites were found in a registry or an index.
Convergence rate for consensus with delays
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Integrity signals
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“Lemma 13 ( B -step consensus contraction ). Under Assumptions 6 and 7, let B be an integer satisfying B ≥ B ⊖ and such that”
From Achieving Geometric Convergence for Distributed Optimization Over Time-Varying Graphs (2017) · cites this paper as [48]
Citations
Cites
Advances in neural information processing systems 7
Cios, K. J., & Shields, M. E. (1997) · Neurocomputing · doi:10.1016/s0925-2312(97)90018-7 · Cited by 22,093
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 2×
“Other than the papers cited above, our paper is also related to the literature on the consensus problem and average consensus problem (a special case, where the goal is to reach a consensus on the average of the initial values of the agents); see Olfati-Saber and Murray [15], Boyd et al. [5], Xiao and Boyd [21], Moall…”
BackgroundCoordination 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
Parallel and Distributed Computation: Numerical Methods
Bertsekas, D. P., & Tsitsiklis, J. N. (1989) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 5,293
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
Self-citationFast linear iterations for distributed averaging
Xiao, L., & Boyd, S. (2004) · Systems & Control Letters · doi:10.1016/j.sysconle.2004.02.022 · Cited by 2,734
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
PROBLEMS IN DECENTRALIZED DECISION MAKING AND COMPUTATION
Τσιτσικλής, Ι. (1984) · doi:10.12681/eadd/3778 · Cited by 1,342
Convergence in Multiagent Coordination, Consensus, and Flocking
Blondel, V. D., Hendrickx, J. M., Olshevsky, A., & Tsitsiklis, J. N. (2006) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2005.1582620 · Cited by 861
Convergence Speed in Distributed Consensus and Averaging
Olshevsky, A., & Tsitsiklis, J. N. (2009) · SIAM Journal on Control and Optimization · doi:10.1137/060678324 · Cited by 680
Gossip algorithms: design, analysis and applications
Boyd, S., Ghosh, A., Prabbakar, B., & Shah, D. (2005) · IEEE Conference on Computer Communications (INFOCOM) · doi:10.1109/infcom.2005.1498447 · Cited by 559
Convergence and asymptotic agreement in distributed decision problems
Tsitsiklis, J. N., & Athans, M. (1984) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1984.1103385 · Cited by 253
Convergence Rates in Distributed Consensus and Averaging
Olshevsky, A., & Tsitsiklis, J. N. (2006) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2006.376899 · Cited by 153
A Lower Bound on Convergence of a Distributed Network Consensus Algorithm
Cao, M., Spielman, D. A., & Morse, A. S. (2006) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2005.1582514 · Cited by 118
On the rate of convergence of distributed subgradient methods for multi-agent optimization
Nedić, A. (2007) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2007.4434693 · Cited by 89
Self-citationAverage consensus on networks with transmission noise or quantization
Ruggero Carli, A., Fagnani, F., Frasca, P., Taylor, T., & Zampieri, S. (2007) · European Control Conference (ECC) · doi:10.23919/ecc.2007.7068829 · Cited by 86
Angeli, D., & Bliman, P. (2009) · SIAM Journal on Control and Optimization · doi:10.1137/060673527 · Cited by 70
Average consensus problems in networks of agents with delayed communications
Bliman, P., & Ferrari‐Trecate, G. (2006) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.2005.1583300 · Cited by 68
Communication constraints in coordinated consensus problems
Ruggero Carli, A., Fagnani, F., Alberto Speranzon, B., & Zampieri, S. (2006) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2006.1657376 · Cited by 47
Kashyap, A., Başar, T., & Srikant, R. (2006) · IEEE International Symposium on Information Theory (ISIT) · doi:10.1109/isit.2006.261862 · Cited by 44
Asymptotic agreement and convergence of asynchronous stochastic algorithms
Li, S., & Başar, T. (1987) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1987.1104684 · Cited by 42
Consensus with Quantized Information Updates
Kashyap, A., Başar, T., & Srikant, R. (2006) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.2006.376993 · Cited by 41
Roy, B. V., & Moallemi, C. C. (2005) · neural information processing systems · Cited by 15
Flagged first, then by citations
Cited by
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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
Self-citationDistributed Optimization Over Time-Varying Directed Graphs
Nedic, A., & Olshevsky, A. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2014.2364096 · Cited by 1,187
Self-citationAchieving Geometric Convergence for Distributed Optimization Over Time-Varying Graphs
Nedić, A., Olshevsky, A., & Shi, W. (2017) · SIAM Journal on Optimization · doi:10.1137/16m1084316 · Cited by 1,069
“≥ Based on those bounds on C ij ( k ), v j ( k ), and 1 /v i ( k + 1), we can have the following equivalent arc-utilization lower bound Thus, we have where the second inequality comes from Lemma 5 of reference [48].”
BackgroundMethodInfluentialSelf-citationA survey of distributed optimization
Yang, T., Yi, X., Wu, J., Yuan, Y., Wu, D. X., 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 950
Convex Optimization in Signal Processing and Communications
Palomar, D. P., & Eldar, Y. C. (2009) · Cambridge University Press eBooks · doi:10.1017/cbo9780511804458 · Cited by 570
Metadata
- Authors
- Nedić, A., & Ozdaglar, A.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Massachusetts Institute of Technology (US)
- Corresponding author
- Nedić, Angelia
- Venue
- Journal of Global Optimization
- Published
- 2008-11-04
- Volume
- 47
- Issue
- 3
- Pages
- 437-456
- ISSN
- 0925-5001 (ISSN-L)
- 1573-2916
- OpenAlex
- W2093777540
- Cited by
- 198
- References
- 23
- Citations by year
- 2026: 3 · 2025: 9 · 2024: 10 · 2023: 13 · 2022: 4 · 2021: 13 · 2020: 13 · 2019: 14 · 2018: 16 · 2017: 14 · 2016: 8 · 2015: 14 · 2014: 15 · 2013: 12 · 2012: 12
- FWCI
- 15.33
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Journal of Global Optimization (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Distributed Control Multi-Agent Systems
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Opinion Dynamics and Social Influence
- Physical Sciences › Engineering › Control and Systems Engineering › Neural Networks Stability and Synchronization
- Keywords
- consensus algorithms, multi-agent systems, time-varying connectedness, communication delay, convergence rate, asynchronous operation, bounded delay
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