The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
On Consensus Algorithms for Double-Integrator Dynamics
Abstract
This note considers consensus algorithms for double-integrator dynamics. We propose and analyze consensus algorithms for double-integrator dynamics in four cases: 1) with a bounded control input, 2) without relative velocity measurements, 3) with a group reference velocity available to each team member, and 4) with a bounded control input when a group reference state is available to only a subset of the team. We show that consensus is reached asymptotically for the first two cases if the undirected interaction graph is connected. We further show that consensus is reached asymptotically for the third case if the directed interaction graph has a directed spanning tree and the gain for velocity matching with the group reference velocity is above a certain bound. We also show that consensus is reached asymptotically for the fourth case if and only if the group reference state flows directly or indirectly to all of the vehicles in the team.
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Citations
Cites
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
Self-citationDistributed asynchronous deterministic and stochastic gradient optimization algorithms
Tsitsiklis, J., Bertsekas, D., & Athans, M. (1986) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1986.1104412 · Cited by 1,967
Cited by
Hou, Z.-G., Cheng, L., & Tan, M. (2009) · IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) · doi:10.1109/tsmcb.2008.2007810 · Cited by 668
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
Li, Z., Ren, W., Liu, X., & Fu, M. (2013) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.1847 · Cited by 517
Self-citationAbdessameud, A., & Tayebi, A. (2010) · Systems & Control Letters · doi:10.1016/j.sysconle.2010.06.019 · Cited by 265
Song, Q., Liu, F., Cao, J., & Yu, W. (2013) · IEEE Transactions on Cybernetics · doi:10.1109/tsmcb.2012.2227723 · Cited by 262
Metadata
- Authors
- Ren, W.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2008-07
- Volume
- 53
- Issue
- 6
- Pages
- 1503-1509
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2111366290
- Cited by
- 1,413
- References
- 2
- FWCI
- 88.89
- Type
- journal article
- Language
- en
- Open access
- closed
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