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Topology Uniformity Pinning Control for Multi-agent Flocking
  • +3
  • Jintao Liu,
  • Ming He,
  • Qiang Liu,
  • Jie Wang,
  • Mingguang Zou,
  • Weishi Zhang
Jintao Liu
Peoples Liberation Army Engineering University
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Ming He
Peoples Liberation Army Engineering University
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Qiang Liu
Peoples Liberation Army Engineering University
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Jie Wang
Naval Aviation University
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Mingguang Zou
Peoples Liberation Army Engineering University
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Weishi Zhang
Peoples Liberation Army Engineering University
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Abstract

The optimal pinning node selection for multi-agent flocking is a NP-hard problem. The current pinning node selection strategies mainly depend on complex network node characteristics which are lack of rigorous mathematical proof for flocking control. This paper studies the effect and selection strategy of pinning node based on matrix eigenvalue theory. Firstly, the effect on the eigenvalue of Laplacian matrix by pinning node is analyzed. Secondly, the synchronization index which reflects topology uniformity of multi-agent system is proposed to exert maximum influence on the system synchronizability. A practicable optimal pinning node selection method based on synchronization index is proposed and analyzed by the eigenvalue perturbation method. Finally, the simulations show the rate of system convergence by using optimal synchronizability pinning node is better than the maximum degree centrality.

Peer review status:UNDER REVIEW

25 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
07 May 2021Assigned to Editor
07 May 2021Submission Checks Completed
31 May 2021Reviewer(s) Assigned