Stability analysis in a car-following model with reaction-time delay and delayed feedback control

DOI10.1016/j.physa.2016.04.038zbMath1400.93269OpenAlexW2346690333MaRDI QIDQ1619714

Yanfei Jin, Meng Xu

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2016.04.038

zbMATH Keywords

stability analysisdelayed feedback controlcar-following modelreaction-time delay of driver

Mathematics Subject Classification ID

Feedback control (93B52) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Traffic problems in operations research (90B20)

Related Items (15)

Dynamical analysis for a car-following model with delayed-feedback control of both velocity and acceleration differences ⋮ Analysis of drivers' characteristics on continuum model with traffic jerk effect ⋮ Dynamic equilibrium commuting in a multilane system with ridesharing ⋮ New feedback control strategy for optimal velocity traffic model ⋮ The evolution process of queues at signalized intersections under batch arrivals ⋮ The influence of continuous historical velocity difference information on micro-cooperative driving stability ⋮ An extended car-following model to describe connected traffic dynamics under cyberattacks ⋮ Effects of the design of waiting areas on the dynamic behavior of queues at signalized intersections ⋮ Stochastic stability of Markovian jump linear systems over networks with random quantization density and time delay ⋮ TDGL and mKdV equations for an extended car-following model with the consideration of driver's memory ⋮ Impact of risk illusions on traffic flow in fog weather ⋮ Synchronously discrete-time feedback control of large-scale systems ⋮ Modeling and stabilization control for heterogeneous traffic flow model considering cyberattacks ⋮ A continuum model with traffic interruption probability and electronic throttle opening angle effect under connected vehicle environment ⋮ Dynamical analysis of an optimal velocity model with time-delayed feedback control

Cites Work

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• Congestion phenomenon analysis and delayed-feedback control in a modified coupled map traffic flow model containing the velocity difference
• Feedback control for car following model based on two-lane traffic flow
• Stabilization of traffic flow in optimal velocity model via delayed-feedback control
• Decentralized delayed-feedback control of an optimal velocity traffic model
• A velocity matching car-following model on a closed ring in which overtaking is allowed
• Conditions for string stability
• GENERALIZED OPTIMAL VELOCITY MODEL FOR TRAFFIC FLOW
• Introduction to Modern Traffic Flow Theory and Control
• A Poincaré-Lindstedt approach to bifurcation problems for differential-delay equations
• Applied Delay Differential Equations

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