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Synchronization in networks of identical linear systems
Open accessAbstract
The paper investigates the synchronization of a network of identical linear time-invariant state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling that achieves synchronization if the decoupled systems have no exponentially unstable mode and if the communication graph is uniformly connected. Stronger conditions are shown to be sufficient - but to some extent, also necessary - to ensure synchronization with the diffusive static output coupling often considered in the literature.
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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
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Li, Z., Ren, W., Liu, X., & Fu, M. (2013) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.1847 · Cited by 517
Qin, J., & Yu, C. (2013) · Automatica · doi:10.1016/j.automatica.2013.06.017 · Cited by 393
Opinion Dynamics in Social Networks With Hostile Camps: Consensus vs. Polarization
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Garcia, E., Cao, Y., & Casbeer, D. W. (2014) · Automatica · doi:10.1016/j.automatica.2014.08.024 · Cited by 347
Metadata
- Authors
- Scardovi, L., & Sepulchre, R.
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2009-11
- Volume
- 45
- Issue
- 11
- Pages
- 2557-2562
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W2114482313
- Cited by
- 766
- References
- 2
- FWCI
- 54.44
- Type
- journal article
- Language
- en
- Open access
- green
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- Scardovi, L., & Sepulchre, R. (2009). Synchronization in networks of identical linear systems. Automatica. https://doi.org/10.1016/j.automatica.2009.07.006
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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.
