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A lattice hydrodynamic model based on delayed feedback control considering the effect of flow rate difference

Yunong Wang, Rongjun Cheng and Hongxia Ge

Physica A: Statistical Mechanics and its Applications, 2017, vol. 479, issue C, 478-484

Abstract: In this paper, a lattice hydrodynamic model is derived considering not only the effect of flow rate difference but also the delayed feedback control signal which including more comprehensive information. The control method is used to analyze the stability of the model. Furthermore, the critical condition for the linear steady traffic flow is deduced and the numerical simulation is carried out to investigate the advantage of the proposed model with and without the effect of flow rate difference and the control signal. The results are consistent with the theoretical analysis correspondingly.

Keywords: Traffic flow; Lattice hydrodynamic model; Delayed feedback control; Stability condition (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:479:y:2017:i:c:p:478-484

DOI: 10.1016/j.physa.2017.03.027

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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