Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 505, Issue -, Pages 1103-1112Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2018.04.067
Keywords
Lattice hydrodynamic model; Asymptotic stability; Lyapunov stability; Varying time delay
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Funding
- Fundamental Research Funds for the Central Universities, China [XDJK2017C025]
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A novel traffic lattice hydrodynamic model with consideration of varying time delay is proposed. The asymptotic stability condition of the new model is derived in the form of linear matrix inequality through Lyapunov stability theory and the traffic disturbance appearing in the new model can be suppressed under this stable condition. Numerical simulation shows that varying time delay affects the stability of traffic flow importantly and the traffic flow with consideration of varying time delay is more likely to develop into traffic congestion. (C) 2018 Elsevier B.V. All rights reserved.
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