The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Coordination and Geometric Optimization via Distributed Dynamical Systems
Open accessAbstract
This paper discusses dynamical systems for disk-covering and sphere-packing problems. We present facility location functions from geometric optimization and characterize their differentiable properties. We design and analyze a collection of distributed control laws that are related to nonsmooth gradient systems. The resulting dynamical systems promise to be of use in coordination problems for networked robots; in this setting the distributed control laws correspond to local interactions between the robots. The technical approach relies on concepts from computational geometry, nonsmooth analysis, and the dynamical system approach to algorithms. (A correction to this article has been appended to the pdf file.)
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Citations
Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
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
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
Differential Equations with Discontinuous Righthand Sides
Filippov, A. F. (1988) · Mathematics and Its Applications · doi:10.1007/978-94-015-7793-9 · Cited by 4,720
Cited by
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
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
Self-citationStability 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
Finite-time convergent gradient flows with applications to network consensus
Cortés, J. (2006) · Automatica · doi:10.1016/j.automatica.2006.06.015 · Cited by 818
Self-citationYou, K., & Xie, L. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2011.2164017 · Cited by 622
Metadata
- Authors
- Cortés, J., & Bullo, F.
- Venue
- SIAM Journal on Control and Optimization
- Published
- 2005-01
- Volume
- 44
- Issue
- 5
- Pages
- 1543-1574
- ISSN
- 0363-0129 (ISSN-L)
- 1095-7138
- OpenAlex
- W2007403280
- Cited by
- 452
- References
- 4
- FWCI
- 26.47
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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