Stability of car following with human memory effects and automatic headway compensation

DOI10.1098/rsta.2010.0127zbMath1202.93139OpenAlexW2072588459WikidataQ50070137 ScholiaQ50070137MaRDI QIDQ3065855

Rifat Sipahi, Silviu Iulian Niculescu

Publication date: 7 January 2011

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2010.0127

zbMATH Keywords

distributed delaytrafficmemorydiscrete delaycar-following modelspacing control

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Traffic problems in operations research (90B20) Lattice functional-differential equations (34K31)

Related Items (8)

Failure of classical traffic flow theories: stochastic highway capacity and automatic driving ⋮ Stability analysis of an improved car-following model accounting for the driver's characteristics and automation ⋮ Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays ⋮ Criticism of generally accepted fundamentals and methodologies of traffic and transportation theory: a brief review ⋮ Robust stability analysis for linear systems with distributed delays: A time‐domain approach ⋮ On nonoscillation and stability for systems of differential equations with a distributed delay ⋮ Traffic jams: dynamics and control ⋮ Analysis of a Car-Following Model with Driver Memory Effect

Cites Work

• A procedure for determination of the exponential stability of certain differential-difference equations

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