The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Potential Fields for Maintaining Connectivity of Mobile Networks
Abstract
The control of mobile networks of multiple agents raises fundamental and novel problems in controlling the structure of the resulting dynamic graphs. In this paper, we consider the problem of controlling a network of agents so that the resulting motion always preserves the connectivity property of the network. In particular, the connectivity condition is translated to differentiable constraints on individual agent motion by considering the dynamics of the Laplacian matrix and its spectral properties. Artificial potential fields are then used to drive the agents to configurations away from the undesired space of disconnected networks while avoiding collisions with each other. We conclude by illustrating a class of interesting problems that can be achieved while preserving connectivity constraints.
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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
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
Behavior-based formation control for multirobot teams
Balch, T., & Arkin, R. C. (1998) · IEEE Transactions on Robotics and Automation · doi:10.1109/70.736776 · Cited by 3,112
Biggs, N. (1974) · doi:10.1017/cbo9780511608704 · Cited by 2,940
Flocking in Fixed and Switching Networks
Tanner, H. G., Jadbabaie, A., & Pappas, G. J. (2007) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2007.895948 · Cited by 1,431
Self-citationModeling and control of formations of nonholonomic mobile robots
Desai, J. P., Ostrowski, J. P., & Kumar, V. (2001) · IEEE Transactions on Robotics and Automation · doi:10.1109/70.976023 · Cited by 1,158
Robust Rendezvous for Mobile Autonomous Agents via Proximity Graphs in Arbitrary Dimensions
Cortes, J., Martinez, S., & Bullo, F. (2006) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2006.878713 · Cited by 695
Decentralized control of vehicle formations
Lafferriere, G., Williams, A., Caughman, J., & Veerman, J. J. P. (2005) · Systems & Control Letters · doi:10.1016/j.sysconle.2005.02.004 · Cited by 627
On Maximizing the Second Smallest Eigenvalue of a State-Dependent Graph Laplacian
Kim, Y., & Mesbahi, M. (2006) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.861710 · Cited by 593
Constrained coverage for mobile sensor networks
Poduri, S., & Sukhatme, G. S. (2004) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/robot.2004.1307146 · Cited by 541
Metadata
- Authors
- Zavlanos, M. M., & Pappas, G. J.
- Venue
- IEEE Transactions on Robotics
- Published
- 2007-08
- Volume
- 23
- Issue
- 4
- Pages
- 812-816
- ISSN
- 1552-3098 (ISSN-L)
- OpenAlex
- W2044437309
- Cited by
- 353
- References
- 17
- FWCI
- 29.19
- Type
- journal article
- Language
- en
- Open access
- closed
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