The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Stabilization of Planar Collective Motion: All-to-All Communication
Open accessAbstract
This paper proposes a design methodology to stabilize isolated relative equilibria in a model of all-to-all coupled identical particles moving in the plane at unit speed. Isolated relative equilibria correspond to either parallel motion of all particles with fixed relative spacing or to circular motion of all particles with fixed relative phases. The stabilizing feedbacks derive from Lyapunov functions that prove exponential stability and suggest almost global convergence properties. The results of the paper provide a low-order parametric family of stabilizable collectives that offer a set of primitives for the design of higher-level tasks at the group level
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Cites
Coordination of groups of mobile autonomous agents using nearest neighbor rules
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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
Chemical Oscillations, Waves, and Turbulence
Kuramoto, Y. (1984) · Springer Series in Synergetics · doi:10.1007/978-3-642-69689-3 · Cited by 7,142
Information Flow and Cooperative Control of Vehicle Formations
Fax, J. A., & Murray, R. M. (2004) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.834433 · Cited by 4,579
Strogatz, S. H. (2000) · Physica D: Nonlinear Phenomena · doi:10.1016/s0167-2789(00)00094-4 · Cited by 3,051
Coverage Control for Mobile Sensing Networks
Cortes, J., Martinez, S., Karatas, T., & Bullo, F. (2004) · IEEE Transactions on Robotics and Automation · doi:10.1109/tra.2004.824698 · Cited by 2,710
Stability of multiagent systems with time-dependent communication links
Moreau, L. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2004.841888 · Cited by 2,706
Collective Memory and Spatial Sorting in Animal Groups
COUZIN, I. D., KRAUSE, J., JAMES, R., RUXTON, G. D., & FRANKS, N. R. (2002) · Journal of Theoretical Biology · doi:10.1006/jtbi.2002.3065 · Cited by 2,138
Weakly Connected Neural Networks
Hoppensteadt, F. C., & Izhikevich, E. M. (1997) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-1828-9 · Cited by 1,244
String stability of interconnected systems
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Cited by
Distributed Control of Robotic Networks: A Mathematical Approach to Motion Coordination Algorithms
Bullo, F., Cortés, J., & Martínez, S. (2009) · Princeton University Press eBooks · doi:10.1515/9781400831470 · Cited by 1,509
Potential Fields for Maintaining Connectivity of Mobile Networks
Zavlanos, M. M., & Pappas, G. J. (2007) · IEEE Transactions on Robotics · doi:10.1109/tro.2007.900642 · Cited by 353
A Differential Lyapunov Framework for Contraction Analysis
Forni, F., & Sepulchre, R. (2014) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2013.2285771 · Cited by 332
Self-citationConsensus Optimization on Manifolds
Sarlette, A., & Sepulchre, R. (2009) · SIAM Journal on Control and Optimization · doi:10.1137/060673400 · Cited by 270
Self-citation
Metadata
- Authors
- Sepulchre, R., Paley, D. A., & Leonard, N. E.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 2007-05
- Volume
- 52
- Issue
- 5
- Pages
- 811-824
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2152556309
- Cited by
- 517
- References
- 24
- FWCI
- 58.38
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
