Journal of Shandong University(Engineering Science) ›› 2018, Vol. 48 ›› Issue (5): 61-68.doi: 10.6040/j.issn.1672-3961.0.2018.031

• Machine Learning & Data Mining • Previous Articles     Next Articles

Finite-time flocking behavior of leader-following Cucker-Smale system

Youquan LIU(),Chenguang WANG,Hongjun SHI   

  1. School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, China
  • Received:2018-01-14 Online:2018-10-01 Published:2018-01-14
  • Supported by:
    国家自然科学基金资助项目(61203055);中央高校基本科研业务费资助项目(2015XKMS076);国家级大学生创新创业训练计划资助项目(201710290058)

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Abstract:

Based on the finite-time stability theory, the finite-time flocking behavior of leader-following Cucker-Smale systems was studied. By using Lyapunov function approach, sufficient conditions were provided to ensure the finite-time flocking. It was shown that the convergence time depended on the group size and the coupling strength between agents and the leader. The convergence time decreased with the increasing of the group size and the coupling strength. The state trajectories of velocity and velocity error were provided to confirm the theoretical results with simulation examples.

Key words: flocking, finite time, leader-following, Cucker-Smale system

CLC Number: 

  • TP273

Fig.1

The state trajectories of agent′s velocities and velocities error"

Fig.2

The convergence time of leader-following C-S system affected by the group size N"

Fig.3

The convergence time of leader-following C-S system affected by the coupling strength b"

Fig.4

The convergence time of leader-following C-S system of the effect of agents′ number affected by leader"

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