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http://hdl.handle.net/10773/30272| Title: | On the existence of optimal consensus control for the fractional Cucker–Smale model |
| Author: | Almeida, R. Kamocki, R. Malinowska, A. B. Odzijewicz, T. |
| Keywords: | Fractional calculus Fractional differential systems Flocking model Consensus Optimal control |
| Issue Date: | 2020 |
| Publisher: | PAN |
| Abstract: | This paper addresses the nonlinear Cucker–Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/30272 |
| DOI: | 10.24425/acs.2020.135844 |
| ISSN: | 1230-2384 |
| Publisher Version: | http://journals.pan.pl/dlibra/publication/135844/edition/118766/content |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [2020] On the existence of optimal consensus control for the fractional Cucker–Smale model.pdf | 1.04 MB | Adobe PDF | View/Open |
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