The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Necessary and sufficient conditions for solving consensus problems of double‐integrator dynamics via sampled control
Abstract
In this paper, consensus problems of double‐integrator dynamics via sampled control are investigated. The sampled control protocol is induced from continuous‐time linear consensus protocol by using periodic sampling technology and zero‐order hold circuit. With the obtained sampled control protocol, the continuous‐time multi‐agent system is equivalently transformed into a linear discrete‐time system. Necessary and sufficient conditions are given to guarantee that all the agents asymptotically travel with zero relative positions and common velocities. Furthermore, consensus problem with continuous‐time consensus protocol is re‐analyzed. A necessary and sufficient condition is also obtained which is consistent with the special case when the sampling period tends to zero. The effectiveness of these algorithms is demonstrated through simulations. Copyright © 2009 John Wiley & Sons, Ltd.
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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
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
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
Biggs, N. (1974) · doi:10.1017/cbo9780511608704 · Cited by 2,940
Cited by
Guo, G., Ding, L., & Han, Q.-L. (2014) · Automatica · doi:10.1016/j.automatica.2014.03.017 · Cited by 720
Decentralised event-triggered cooperative control with limited communication
Garcia, E., Cao, Y., Yu, H., Antsaklis, P., & Casbeer, D. (2013) · International Journal of Control · doi:10.1080/00207179.2013.787647 · Cited by 228
Metadata
- Authors
- Liu, H., Xie, G., & Wang, L.
- Venue
- International Journal of Robust and Nonlinear Control
- Publisher
- Wiley
- Published
- 2010-08-19
- Volume
- 20
- Issue
- 15
- Pages
- 1706-1722
- ISSN
- 1049-8923 (ISSN-L)
- 1099-1239
- OpenAlex
- W2085324806
- Cited by
- 185
- References
- 4
- FWCI
- 9.58
- Type
- journal article
- Language
- en
- Open access
- closed
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- Liu, H., Xie, G., & Wang, L. (2010). Necessary and sufficient conditions for solving consensus problems of double‐integrator dynamics via sampled control. International Journal of Robust and Nonlinear Control. https://doi.org/10.1002/rnc.1543
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