The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Stability of continuous-time distributed consensus algorithms
Open accessAbstract
We study the stability properties of linear time-varying systems in continuous time whose system matrix is Metzler with zero row sums. This class of systems arises naturally in the context of distributed decision problems, coordination and rendezvous tasks and synchronization problems. The equilibrium set contains all states with identical state components. We present sufficient conditions guaranteeing uniform exponential stability of this equilibrium set, implying that all state components converge to a common value as time grows unbounded. Furthermore it is shown that this convergence result is robust with respect to an arbitrary delay, provided that the delay affects only the off-diagonal terms in the differential equation.
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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
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 protocols for networks of dynamic agents
Saber, R. O., & Murray, R. M. (2004) · Proceedings of the 2003 American Control Conference, 2003. · doi:10.1109/acc.2003.1239709 · Cited by 901
Cited by
Consensus Problems on Networks With Antagonistic Interactions
Altafini, C. (2013) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2012.2224251 · Cited by 2,109
Xiao, F., & Wang, L. (2008) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2008.929381 · Cited by 734
Average consensus problems in networks of agents with delayed communications
Bliman, P.-A., & Ferrari-Trecate, G. (2008) · Automatica · doi:10.1016/j.automatica.2007.12.010 · Cited by 429
State consensus for multi-agent systems with switching topologies and time-varying delays
Xiao, F., & Wang, L. (2006) · International Journal of Control · doi:10.1080/00207170600825097 · Cited by 384
Decentralised event-triggered cooperative control with limited communication
Garcia, E., Cao, Y., Yu, H., Antsaklis, P., & Casbeer, D. (2013) · International Journal of Control · doi:10.1080/00207179.2013.787647 · Cited by 228
Metadata
- Authors
- Moreau, L.
- Venue
- 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)
- Publisher
- IEEE
- Published
- 2004
- Pages
- 3998-4003 Vol.4
- ISSN
- 0191-2216 (ISSN-L)
- OpenAlex
- W2168132433
- Cited by
- 732
- References
- 3
- FWCI
- 9.36
- Type
- conference paper
- Language
- en
- Open access
- green
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- Moreau, L. (2004). Stability of continuous-time distributed consensus algorithms. 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601). https://doi.org/10.1109/cdc.2004.1429377
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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