Finite-time flocking of particle models with nonlinear velocity coupling and inter-driving forces

Shixuan Zhang; Jianbo Yuan; Shixuan Zhang; Jianbo Yuan

doi:10.3934/era.2025151

Electronic Research Archive

2025, Volume 33, Issue 5: 3410-3430. doi: 10.3934/era.2025151

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Research article

Finite-time flocking of particle models with nonlinear velocity coupling and inter-driving forces

Shixuan Zhang ^,,
Jianbo Yuan ¹

School of Transportation, Changsha University of Science and Technology, Changsha 410114, China

Received: 27 March 2025 Revised: 15 May 2025 Accepted: 27 May 2025 Published: 30 May 2025

In this paper, we propose a finite-time flocking particle model with nonlinear velocity coupling and inter-driving forces. Initially, we demonstrate that under specific initial conditions, the system achieves flocking within a finite timeframe, with all particles' velocities converging to the average of their initial velocities. Our results include some results in the literature. Furthermore, a special case of mutual driving is given. Finally, we validate the obtained results through numerical simulations to confirm their accuracy.
- finite-time flocking,
- nonlinear velocity coupling,
- inter-driving forces
Citation: Shixuan Zhang, Jianbo Yuan. Finite-time flocking of particle models with nonlinear velocity coupling and inter-driving forces[J]. Electronic Research Archive, 2025, 33(5): 3410-3430. doi: 10.3934/era.2025151

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Abstract

In this paper, we propose a finite-time flocking particle model with nonlinear velocity coupling and inter-driving forces. Initially, we demonstrate that under specific initial conditions, the system achieves flocking within a finite timeframe, with all particles' velocities converging to the average of their initial velocities. Our results include some results in the literature. Furthermore, a special case of mutual driving is given. Finally, we validate the obtained results through numerical simulations to confirm their accuracy.

References

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