JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (12): 114-119.doi: 10.6040/j.issn.1671-9352.0.2017.504

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Flocking under hierarchical leadership with white noise

WU Chen, JIN Ying-hua*, WANG Shi-li   

  1. School of Science, Jiangnan University, Wuxi 214122, Jiangsu, China
  • Online:2018-12-20 Published:2018-12-18

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Abstract: The flocking under hierarchical leadership with white noise was mainly studied. First we proposed a model with white noise under the hierarchical leadership, and then use the properties of Itô formula, mathematical induction and mathematical expectation function to prove that when the noise intensity satisfies certain conditions and the time tends to infinity, the hierarchical group can reach the flocking. Finally, an example of state diagram and error graph after cluster is affected by noise is given by numerical simulation. The experimental results demonstrate the correctness of the conclusions.

Key words: flocking, hierarchical leadership, white noise, mathematical induction

CLC Number: 

  • TP13
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