Car-following models: fifty years of linear stability analysis – a mathematical perspective

By R. E. Wilson, J. Ward. 2011

342 citations recorded by the source corpus.

Subfields: Building and Construction, Control and Systems Engineering, Transportation

View Paper: https://www.semanticscholar.org/paper/244d2c1555b1ecdc543ba76ff87f4d3942b7e418

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Building and Construction

1. Zuduo Zheng
2. Jorge A. Laval
3. Mohammad Saifuzzaman

In Control and Systems Engineering

1. Zuduo Zheng
2. Soyoung Ahn
3. Jorge A. Laval
4. Danjue Chen
5. Mohammad Saifuzzaman
6. Ludovic Leclercq

In Transportation

1. Zuduo Zheng
2. Soyoung Ahn
3. Danjue Chen
4. Jorge A. Laval
5. Mohammad Saifuzzaman
6. Ludovic Leclercq

Citations in the corpus

• On the periodicity of traffic oscillations and capacity drop : the role of driver characteristics (2014, background): “From the physical and mathematical perspectives, the formation and propagation of traffic oscillations are attributed to system instability, either linear or non-linear (Gasser et al., 2004; Orosz et al., 2004; Schönhof and Helbing, 2007; Ward and Wilson, 2011; Wilson, 2008; Wilson and Ward, 2011).”
• A Survey on Platoon-Based Vehicular Cyber-Physical Systems (2016, neutral): “Mathematically, the car-following model [58] can be expressed by:”
• A new lattice hydrodynamic model considering the effects of bilateral gaps on vehicular traffic flow (2017, background): “Traffic flowmodels can be classified as microscopic or macroscopic models [1–4].”