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A Fractional Micro-Macro Model for Crowds of Pedestrians Based on Fractional Mean Field Games 被引量:1
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作者 Kecai Cao Yang Quan Chen daniel stuart 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI 2016年第3期261-270,共10页
Modeling a crowd of pedestrians has been considered in this paper from different aspects. Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed ... Modeling a crowd of pedestrians has been considered in this paper from different aspects. Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed using conservation law of mass. Then in order to characterize the competitive and cooperative interactions among pedestrians, fractional mean field games are utilized in the modeling problem when the number of pedestrians goes to infinity and fractional dynamic model composed of fractional backward and fractional forward equations are constructed in macro scale. Fractional micromacro model for crowds of pedestrians are obtained in the end. Simulation results are also included to illustrate the proposed fractional microscopic model and fractional macroscopic model, respectively. © 2014 Chinese Association of Automation. 展开更多
关键词 Control systems Electrical engineering
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