Stability of a Large-Scale Connected Vehicle Network in Ring Configuration and With Multiple Delays

An approach is presented to analytically characterize the asymptotic stability of a linearized large-scale connected vehicle-velocity dynamics in ring configuration and with communication, sensor, and human reaction delays. Insights are obtained on how certain eigenvalues associated with the model affect stability on the plane of model parameters. Comparing with the traditional model where connectedness between vehicles is removed except between consecutive vehicles, one renders
larger
stability regions, which can be matched by using weaker gains in the connected vehicle model. Results can inform future studies regarding trade-offs between the advantages that the connected vehicles offer and the use of high/weak gains to render certain degree of stability robustness in model parameters against time delays.