The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Stability of a Class of Linear Switching Systems with Applications to Two Consensus Problems
Abstract
In this paper, we first establish a stability result for a class of linear switched systems involving Kronecker product. The problem is interesting in that the system matrix does not have to be Hurwitz at any time instant. This class of linear switched systems arises in the control of multi-agent systems under switching network topology. As applications of this stability result, we give the solvability conditions for both the leaderless consensus problem and the leader-following consensus problem for general marginally stable linear multi-agent systems under switching network topology. In contrast with some existing results, our results only assume that the dynamic graph is uniformly connected.
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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 · cited 4×
“This problem has been well studied in [9], [13], [17], [18].”
BackgroundInfluentialCoordination 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 Consensus in Multi-vehicle Cooperative Control
Ren, W., & Beard, R. W. (2008) · Communications and Control Engineering · doi:10.1007/978-1-84800-015-5 · Cited by 2,826
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
Qin, J., & Yu, C. (2013) · Automatica · doi:10.1016/j.automatica.2013.06.017 · Cited by 393
On the Bipartite Consensus for Generic Linear Multiagent Systems With Input Saturation
Qin, J., Fu, W., Zheng, W. X., & Gao, H. (2017) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2016.2612482 · Cited by 373
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
Cai, H., & Huang, J. (2016) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2504728 · Cited by 300
Self-citation
Metadata
- Authors
- Su, Y., & Huang, J.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2012-06
- Volume
- 57
- Issue
- 6
- Pages
- 1420-1430
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2100098232
- Cited by
- 453
- References
- 3
- FWCI
- 34.17
- Type
- journal article
- Language
- en
- Open access
- closed
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