1 School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, China; 2 Key Laboratory of Power Big Data of Guizhou Province, Guizhou Institute of Technology, Guiyang 550003, China
Abstract In the real world, rule makers can only restrict, not completely control the behavior of the governed, while the governed can only choose their behavior patterns under these restrictions. In this paper, we design a new control protocol called free protocol to describe this situation. First, we calculate consensus probabilities based on the information of the interaction networks. Then, sufficient conditions are obtained for all agents converging to a same value with probability one. Finally, numerical simulation results are given to verify the above results.
(Computational methods in statistical physics and nonlinear dynamics)
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61973329) and the Beijing Natural Science Foundation, China (Grant No. Z180005).
Corresponding Authors:
Lipo Mo
E-mail: molipo@th.btbu.edu.cn
Cite this article:
Xiaodong Liu(柳晓东) and Lipo Mo(莫立坡) Consensus problems on networks with free protocol 2021 Chin. Phys. B 30 070701
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