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Finite-time flocking of particle models with nonlinear velocity coupling and inter-driving forces
Electronic Research Archive 2025, 33(5): 3410-3430
Published: 15 May 2025
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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.

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