The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Finite-time convergent gradient flows with applications to network consensus
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
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
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 · cited 1×
“Previous work on motion coordination of multi-agent systems has proposed cooperative algorithms based on gradient flows to achieve tasks such as cohesiveness [11, 14, 20], deployment [8, 9] and consensus [15, 16, 17], The distributed algorithms in these works achieve the desired coordination task over an infinite-time…”
BackgroundOptimization and Nonsmooth Analysis
Clarke, F. H. (1990) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971309 · Cited by 10,264
Finite-Time Stability of Continuous Autonomous Systems
Bhat, S. P., & Bernstein, D. S. (2000) · SIAM Journal on Control and Optimization · doi:10.1137/s0363012997321358 · Cited by 5,510
Parallel and Distributed Computation: Numerical Methods
Bertsekas, D. P., & Tsitsiklis, J. N. (1989) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 5,293
Differential Equations with Discontinuous Righthand Sides
Filippov, A. F. (1988) · Mathematics and Its Applications · doi:10.1007/978-94-015-7793-9 · Cited by 4,720
Differential Equations, Dynamical Systems, and Linear Algebra
(1974) · Pure and Applied Mathematics · doi:10.1016/s0079-8169(08)x6044-1 · Cited by 3,091
A survey of consensus problems in multi-agent coordination
Ren, W., Beard, R. W., & Atkins, E. M. (2005) · Proceedings of the 2005, American Control Conference, 2005. · doi:10.1109/acc.2005.1470239 · Cited by 1,344
Ogren, P., Fiorelli, E., & Leonard, N. E. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.832203 · Cited by 1,234
Lyapunov stability theory of nonsmooth systems
Shevitz, D., & Paden, B. (1994) · IEEE Transactions on Automatic Control · doi:10.1109/9.317122 · Cited by 1,034
Cited by
Finite-time formation control for multi-agent systems
Xiao, F., Wang, L., Chen, J., & Gao, Y. (2009) · Automatica · doi:10.1016/j.automatica.2009.07.012 · Cited by 934
Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems
Khoo, S., Xie, L., & Man, Z. (2009) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2009.2014057 · Cited by 835
An Overview of Recent Advances in Fixed-Time Cooperative Control of Multiagent Systems
Zuo, Z., Han, Q.-L., Ning, B., Ge, X., & Zhang, X.-M. (2018) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2018.2817248 · Cited by 658
A class of predefined-time stable dynamical systems
Sánchez-Torres, J. D., Gómez-Gutiérrez, D., López, E., & Loukianov, A. G. (2018) · IMA Journal of Mathematical Control and Information · doi:10.1093/imamci/dnx004 · Cited by 570
Yu, S., & Long, X. (2015) · Automatica · doi:10.1016/j.automatica.2015.02.001 · Cited by 494
Metadata
- Authors
- Cortés, J.
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2006-11
- Volume
- 42
- Issue
- 11
- Pages
- 1993-2000
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W1997637758
- Cited by
- 818
- References
- 19
- FWCI
- 24.78
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Finite-time convergent gradient flows with applications to network consensus. https://app.cochat.ai/papers/10.1016/j.automatica.2006.06.015
- The paper
- Cortés, J. (2006). Finite-time convergent gradient flows with applications to network consensus. Automatica. https://doi.org/10.1016/j.automatica.2006.06.015
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
