The control method for the lattice hydrodynamic model

•In the paper, the delayed-feedback control method is applied for lattice hydrodynamic model of traffic flow, and there are little references to this topic.•The linear stability condition with and without control signal are derived through linear and nonlinear analysis.•The traffic congested can be...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2015-05, Vol.22 (1-3), p.903-908
Main Authors: Ge, Hong-Xia, Cui, Yu, Zhu, Ke-Qiang, Cheng, Rong-Jun
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computer simulation
Control method
Fluid flow
Hydrodynamics
Lattice hydrodynamic model
Lattices
Mathematical models
Nonlinearity
Stability
Traffic flow
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Summary:•In the paper, the delayed-feedback control method is applied for lattice hydrodynamic model of traffic flow, and there are little references to this topic.•The linear stability condition with and without control signal are derived through linear and nonlinear analysis.•The traffic congested can be suppressed efficiently by considering the control signal according to numerical simulation. The delayed-feedback control method is applied for lattice hydrodynamic model of traffic flow. The linear stability condition with and without control signal are derived through linear and nonlinear analysis. Numerical simulation is carried out and the results confirm that the traffic congested can be suppressed efficiently by considering the control signal.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2014.09.014