Finite-time flocking with collision-avoiding problem of a modified Cucker-Smale model

Huazong Zhang; Sumin Yang; Rundong Zhao; Qiming Liu; Huazong Zhang; Sumin Yang; Rundong Zhao; Qiming Liu

doi:10.3934/mbe.2022483

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 10: 10332-10343. doi: 10.3934/mbe.2022483

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Research article

Finite-time flocking with collision-avoiding problem of a modified Cucker-Smale model

1.
Department of Science and Culture, Shijiazhuang Branch, Army Engineering University of PLA, Shijiazhuang 050003, China
2.
State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System, Luoyang 471003, China

Received: 07 February 2022 Revised: 30 June 2022 Accepted: 08 July 2022 Published: 21 July 2022

To achieve collision-avoiding flocking in finite time, a modified Cucker-Smale model with general inter-driving force is proposed. First, it is proved that the system can achieve conditional collision-avoiding flocking in finite time by imposing appropriate restrictions on the initial states. Moreover, a special case of the inter-driving force is demonstrated. Last, the correctness of the results is verified through numerical simulations.
- Cucker-Smale model,
- flocking,
- finite-time,
- collision-avoidance,
- inter-driving force
Citation: Huazong Zhang, Sumin Yang, Rundong Zhao, Qiming Liu. Finite-time flocking with collision-avoiding problem of a modified Cucker-Smale model[J]. Mathematical Biosciences and Engineering, 2022, 19(10): 10332-10343. doi: 10.3934/mbe.2022483

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Abstract

To achieve collision-avoiding flocking in finite time, a modified Cucker-Smale model with general inter-driving force is proposed. First, it is proved that the system can achieve conditional collision-avoiding flocking in finite time by imposing appropriate restrictions on the initial states. Moreover, a special case of the inter-driving force is demonstrated. Last, the correctness of the results is verified through numerical simulations.

References

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