The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Conditions for Synchronizability in Arrays of Coupled Linear Systems
Open accessAbstract
Synchronization in arrays of coupled continuous-time linear systems is studied. Sufficiency of certain conditions for the existence of a synchronizing feedback law are analyzed. It is shown that, for neutrally stable systems that are detectable from their outputs, a linear feedback law exists under which any number of coupled systems synchronize provided that the (directed, weighted) graph describing the interconnection is fixed and connected. An algorithm generating one such feedback law as well as the trajectory that the solutions converge to are presented. It is also shown that, for critically unstable systems, detectability is not sufficient, whereas full-state coupling is, for the existence of a linear feedback law that is synchronizing for all coupling configurations described by a connected graph.
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Citations
Cites
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×
“) The studies concentrated on the first case have resulted in the emergence of the area now known as consensus in multi-agent systems [17, 16, 8, 13, 20, 2, 6, 25] where fairly weak conditions on the interconnection have been established under which the states of individual systems converge to a common point fixed in…”
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
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
Cited by
Event-triggered communication and control of networked systems for multi-agent consensus
Nowzari, C., Garcia, E., & Cortés, J. (2019) · Automatica · doi:10.1016/j.automatica.2019.03.009 · Cited by 655
Consensus of high-order linear systems using dynamic output feedback compensator: Low gain approach
Seo, J. H., Shim, H., & Back, J. (2009) · Automatica · doi:10.1016/j.automatica.2009.07.022 · Cited by 615
Cao, Y., Ren, W., & Meng, Z. (2010) · Systems & Control Letters · doi:10.1016/j.sysconle.2010.06.002 · Cited by 405
Qin, J., & Yu, C. (2013) · Automatica · doi:10.1016/j.automatica.2013.06.017 · Cited by 393
Decentralized event-triggered consensus with general linear dynamics
Garcia, E., Cao, Y., & Casbeer, D. W. (2014) · Automatica · doi:10.1016/j.automatica.2014.08.024 · Cited by 347
Metadata
- Authors
- Tuna, S. E.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2009-10
- Volume
- 54
- Issue
- 10
- Pages
- 2416-2420
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2146445863
- Cited by
- 246
- References
- 3
- FWCI
- 21.78
- Type
- journal article
- Language
- en
- Open access
- green
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