The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
Second-Order Consensus for Multiagent Systems With Directed Topologies and Nonlinear Dynamics
Open accessAbstract
This paper considers a second-order consensus problem for multiagent systems with nonlinear dynamics and directed topologies where each agent is governed by both position and velocity consensus terms with a time-varying asymptotic velocity. To describe the system's ability for reaching consensus, a new concept about the generalized algebraic connectivity is defined for strongly connected networks and then extended to the strongly connected components of the directed network containing a spanning tree. Some sufficient conditions are derived for reaching second-order consensus in multiagent systems with nonlinear dynamics based on algebraic graph theory, matrix theory, and Lyapunov control approach. Finally, simulation examples are given to verify the theoretical analysis.
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Cites
Horn, R. A., & Johnson, C. R. (1985) · Cited by 22,203
Linear Matrix Inequalities in System and Control Theory
Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970777 · Cited by 21,687
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 3×
“Based on the algebraic graph theory [8], it has been shown that the network connectivity is a key factor in reaching consensus [5], [14], [19], [25].”
BackgroundHorn, R. A., & Johnson, C. R. (1985) · Cambridge University Press eBooks · doi:10.1017/cbo9780511810817 · Cited by 10,280
Horn, R. A., & Johnson, C. R. (1991) · Cambridge University Press eBooks · doi:10.1017/cbo9780511840371 · Cited by 9,319
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
Flocks, herds and schools: A distributed behavioral model
Reynolds, C. W. (1987) · Proceedings of the 14th annual conference on Computer graphics and interactive techniques · doi:10.1145/37401.37406 · Cited by 7,714
Novel Type of Phase Transition in a System of Self-Driven Particles
Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I., & Shochet, O. (1995) · Physical Review Letters · doi:10.1103/physrevlett.75.1226 · Cited by 7,380
Consensus seeking in multiagent systems under dynamically changing interaction topologies
Ren, W., & Beard, R. W. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.846556 · Cited by 6,569
Flocking for Multi-Agent Dynamic Systems: Algorithms and Theory
Olfati-Saber, R. (2006) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.864190 · Cited by 5,037
Cited by
Song, Q., Liu, F., Cao, J., & Yu, W. (2013) · IEEE Transactions on Cybernetics · doi:10.1109/tsmcb.2012.2227723 · Cited by 262
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Metadata
- Authors
- Yu, W., Chen, G., Cao, M., & Kurths, J.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)
- Published
- 2010-06
- Volume
- 40
- Issue
- 3
- Pages
- 881-891
- ISSN
- 1083-4419 (ISSN-L)
- OpenAlex
- W2111838183
- Cited by
- 1,120
- References
- 37
- FWCI
- 41.81
- Type
- journal article
- Language
- en
- Open access
- green
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