Analysis of coupled map optimal velocity model and its delayed-feedback control

摘要

This paper proposes a coupled map car-following traffic model that describes the dynamical behavior of a group of road vehicles running in a single lane without overtaking. We derive a condition under which the traffic jam is never occured in our model. Furthermore, in order to suppress the traffic jam, for each vehicles we use a decentralized delayed-feedback control scheme proposed in [Konishi, Hirai, and Kokame, Phys. Rev. E 58, 3055(1998)], and provide a systematic procedure to design the controller.