Journal article
Controlling swarms towards flocks and mills
- Abstract:
- Self-organization and control around flocks and mills is studied for second-order swarming systems involving self-propulsion and potential terms. It is shown that through the action of constrained control, it is possible to control any initial configuration to a flock or a mill. The proof builds on an appropriate combination of several arguments: the LaSalle invariance principle and Lyapunov-like decreasing functionals, control linearization techniques, and quasi-static deformations. A stability analysis of the second-order system guides the design of feedback laws for the stabilization to flock and mills, which are also assessed computationally.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, 1.4MB, Terms of use)
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- Publisher copy:
- 10.1137/21M1404314
Authors
- Publisher:
- Society for Industrial and Applied Mathematics
- Journal:
- SIAM Journal on Control and Optimization More from this journal
- Volume:
- 60
- Issue:
- 3
- Pages:
- 1863-1891
- Publication date:
- 2022-06-21
- Acceptance date:
- 2022-03-07
- DOI:
- EISSN:
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1095-7138
- ISSN:
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0363-0129
- Language:
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English
- Keywords:
- Pubs id:
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1170192
- Local pid:
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pubs:1170192
- Deposit date:
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2022-03-07
Terms of use
- Copyright holder:
- Society for Industrial and Applied Mathematics
- Copyright date:
- 2022
- Rights statement:
- Copyright 2022 Society for Industrial and Applied Mathematics
- Notes:
-
This is the accepted manuscript version of the article. The final version is available from SIAM at https://doi.org/10.1137/21M1404314
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