TY - GEN
T1 - Nonlinear Optimal Velocity Car Following Dynamics (II)
T2 - 2020 American Control Conference, ACC 2020
AU - Zinat Matin, Hossein Nick
AU - Sowers, Richard B.
N1 - Publisher Copyright:
© 2020 AACC.
PY - 2020/7/1
Y1 - 2020/7/1
N2 - Traffic flow models have been the subject of extensive studies for decades. The interest in these models is both as the result of their important applications as well as their complex behavior which makes them theoretically challenging. In this paper, an optimal velocity dynamical model is considered and analyzed. We consider a dynamical model in the presence of perturbation and show that not only such a perturbed system converges to an averaged problem, but also we can show its order of convergence. Such understanding is important from different aspects, and in particular, it shows how well we can approximate a perturbed system with its associated averaged problem.
AB - Traffic flow models have been the subject of extensive studies for decades. The interest in these models is both as the result of their important applications as well as their complex behavior which makes them theoretically challenging. In this paper, an optimal velocity dynamical model is considered and analyzed. We consider a dynamical model in the presence of perturbation and show that not only such a perturbed system converges to an averaged problem, but also we can show its order of convergence. Such understanding is important from different aspects, and in particular, it shows how well we can approximate a perturbed system with its associated averaged problem.
UR - https://www.scopus.com/pages/publications/85089571176
U2 - 10.23919/ACC45564.2020.9147244
DO - 10.23919/ACC45564.2020.9147244
M3 - Conference contribution
AN - SCOPUS:85089571176
T3 - Proceedings of the American Control Conference
SP - 416
EP - 421
BT - 2020 American Control Conference, ACC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 1 July 2020 through 3 July 2020
ER -