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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“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]
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“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…”
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“≥ 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].”
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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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