Delay-independent traffic flux control for a discrete-time lattice hydrodynamic model with time-delay

Dong-Bo Pan, Geng Zhang, Shan Jiang, Yu Zhang and Bo-Yuan Cui

Physica A: Statistical Mechanics and its Applications, 2021, vol. 563, issue C

Abstract: A discrete-time lattice hydrodynamic model with time-delay and delay-independent traffic flux control signal is introduced. The new model is analyzed with the discrete-time Lyapunov stability theorem and a sufficient stable condition of the model is presented in the form of linear matrix inequality. Through numerical simulation, the traffic flow evolution rules under different conditions of time-delay and control gain are demonstrated and compared. All the results show that the traffic system with time-delay can easily evolve into traffic congestion comparing to the traffic system without time-delay. Also the discrete-time traffic flux control signal can improve the stable level of traffic flow.

Keywords: Discrete-time lattice hydrodynamic model; Time-delay; Lyapunov stability (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437120307640
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:563:y:2021:i:c:s0378437120307640

DOI: 10.1016/j.physa.2020.125440

Access Statistics for this article

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

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().