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http://hdl.handle.net/10773/30982| Title: | On the necessary optimality conditions for the fractional Cucker–Smale optimal control problem |
| Author: | Almeida, Ricardo Kamocki, Rafał Malinowska, Agnieszka B. Odzijewicz, Tatiana |
| Keywords: | Fractional calculus Fractional differential systems Flocking model Multi-agent systems Consensus optimal control |
| Issue Date: | May-2021 |
| Publisher: | Elsevier |
| Abstract: | This paper develops a sparse flocking control for the fractional Cucker–Smale multi-agent model. The Caputo fractional derivative, in the equations describing the dynamics of a consensus parameter, makes it possible to take into account in the self-organization of group its history and memory dependency. External control is designed based on necessary conditions for a local solution to the appropriate optimal control problem. Numerical simulations demonstrate the effectiveness of the control scheme. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/30982 |
| DOI: | 10.1016/j.cnsns.2020.105678 |
| ISSN: | 1007-5704 |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1-s2.0-S1007570420305086-main.pdf | 1.04 MB | Adobe PDF |  |
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