Finite-time flocking of a Cucker-Smale system with external perturbation and intermittent control
This study presents a modified Cucker-Smale system with external perturbation and intermittent control. First, a new finite-time stability lemma is developed, in which the settling time is determined only by the control interval's duration. Second, by imposing an assumption on external perturba...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025292 |
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| _version_ | 1850216360452292608 |
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| author | Qiming Liu Jianlong Ren Shihua Zhang |
| author_facet | Qiming Liu Jianlong Ren Shihua Zhang |
| author_sort | Qiming Liu |
| collection | DOAJ |
| description | This study presents a modified Cucker-Smale system with external perturbation and intermittent control. First, a new finite-time stability lemma is developed, in which the settling time is determined only by the control interval's duration. Second, by imposing an assumption on external perturbation, the system can achieve collision-avoidance flocking. Third, finite-time flocking is achieved without the sign function, which effectively avoids the undesirable chattering phenomenon in the system. Finally, numerical simulations validate the theoretical analysis, and parameter sensitivity analysis offers important guidance for practical applications such as unmanned aerial vehicle (UAV) formations. |
| format | Article |
| id | doaj-art-539f6d9d9eae4fe892197c45f2f70c98 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-539f6d9d9eae4fe892197c45f2f70c982025-08-20T02:08:20ZengAIMS PressAIMS Mathematics2473-69882025-03-011036406642810.3934/math.2025292Finite-time flocking of a Cucker-Smale system with external perturbation and intermittent controlQiming Liu0Jianlong Ren1Shihua Zhang2Shijiazhuang Branch, Army Engineering University of PLA, Shijiazhuang, 050003, ChinaShijiazhuang Branch, Army Engineering University of PLA, Shijiazhuang, 050003, ChinaShijiazhuang Branch, Army Engineering University of PLA, Shijiazhuang, 050003, ChinaThis study presents a modified Cucker-Smale system with external perturbation and intermittent control. First, a new finite-time stability lemma is developed, in which the settling time is determined only by the control interval's duration. Second, by imposing an assumption on external perturbation, the system can achieve collision-avoidance flocking. Third, finite-time flocking is achieved without the sign function, which effectively avoids the undesirable chattering phenomenon in the system. Finally, numerical simulations validate the theoretical analysis, and parameter sensitivity analysis offers important guidance for practical applications such as unmanned aerial vehicle (UAV) formations.https://www.aimspress.com/article/doi/10.3934/math.2025292cucker-smale systemfinite-time flockingcollision avoidanceexternal perturbationintermittent control |
| spellingShingle | Qiming Liu Jianlong Ren Shihua Zhang Finite-time flocking of a Cucker-Smale system with external perturbation and intermittent control AIMS Mathematics cucker-smale system finite-time flocking collision avoidance external perturbation intermittent control |
| title | Finite-time flocking of a Cucker-Smale system with external perturbation and intermittent control |
| title_full | Finite-time flocking of a Cucker-Smale system with external perturbation and intermittent control |
| title_fullStr | Finite-time flocking of a Cucker-Smale system with external perturbation and intermittent control |
| title_full_unstemmed | Finite-time flocking of a Cucker-Smale system with external perturbation and intermittent control |
| title_short | Finite-time flocking of a Cucker-Smale system with external perturbation and intermittent control |
| title_sort | finite time flocking of a cucker smale system with external perturbation and intermittent control |
| topic | cucker-smale system finite-time flocking collision avoidance external perturbation intermittent control |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025292 |
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