The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Distributed Higher Order Consensus Protocols in Multiagent Dynamical Systems
Abstract
This paper studies general higher order distributed consensus protocols in multiagent dynamical systems. First, network synchronization is investigated, with some necessary and sufficient conditions derived for higher order consensus. It is found that consensus can be reached if and only if all subsystems are asymptotically stable. Based on this result, consensus regions are characterized. It is proved that for themth-order consensus, there are at most ⌊(m+1)/2⌋ disconnected stable and unstable consensus regions. It is shown that consensus can be achieved if and only if all the nonzero eigenvalues of the Laplacian matrix lie in the stable consensus regions. Moreover, the ratio of the largest to the smallest nonzero eigenvalues of the Laplacian matrix plays a key role in reaching consensus and a scheme for choosing the coupling strength is derived. Furthermore, a leader-follower control problem in multiagent dynamical systems is considered, which reveals that to reach consensus the agents with very small degrees must be informed. Finally, simulation examples are given to illustrate the theoretical analysis.
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Cites
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
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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×
“Most existing reports on the consensus problem focus on the case where agents are governed by first-order dynamics [4], [13], [18], [23], [24] or second-order dynamics [9], [10], [21].”
BackgroundInfluentialSynchronization in chaotic systems
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Coordination of groups of mobile autonomous agents using nearest neighbor rules
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Cited by
Second-order consensus in multi-agent dynamical systems with sampled position data
Yu, W., Zheng, W. X., Chen, G., Ren, W., & Cao, J. (2011) · Automatica · doi:10.1016/j.automatica.2011.02.027 · Cited by 526
Self-citationNetwork-based leader-following consensus for distributed multi-agent systems
Ding, L., Han, Q.-L., & Guo, G. (2013) · Automatica · doi:10.1016/j.automatica.2013.04.021 · Cited by 393
Distributed Finite-Time Containment Control for Double-Integrator Multiagent Systems
Wang, X., Li, S., & Shi, P. (2014) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2013.2288980 · Cited by 377
Metadata
- Authors
- Yu, W., Chen, G., Ren, W., Kurths, J., & Zheng, W. X.
- Venue
- IEEE Transactions on Circuits and Systems I: Regular Papers
- Published
- 2011-08
- Volume
- 58
- Issue
- 8
- Pages
- 1924-1932
- ISSN
- 1549-8328 (ISSN-L)
- 1558-0806
- OpenAlex
- W1991087889
- Cited by
- 291
- References
- 31
- FWCI
- 45.98
- Type
- journal article
- Language
- en
- Open access
- closed
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