Stability analysis for a new lattice hydrodynamic model with time-varying delay in sensing traffic flux

Yu Zhang, Sha Wang, Dong-bo Pan and Geng Zhang

Physica A: Statistical Mechanics and its Applications, 2021, vol. 561, issue C

Abstract: This paper proposed a new macro lattice hydrodynamic model by considering the time-varying delayed information of the preceding lattice’ traffic flux. The influence of time-varying delayed traffic flux on traffic flow is studied by Lyapunov stability theory and the stable condition is given in terms of linear matrix inequality. Also numerical simulations for traffic flow with time-varying delay or not are conducted to explicitly show the impact of time-varying delayed traffic flux on traffic stability. The results demonstrate that the time-varying delayed traffic flux can weaken the stability of traffic flow and the traffic flow is more likely to develop into congestion with time-varying delayed information.

Keywords: Lattice hydrodynamic model; Time-varying delay; Lyapunov stability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:561:y:2021:i:c:s0378437120306701

DOI: 10.1016/j.physa.2020.125269

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