Nonlinear Optimal Velocity Car Following Dynamics (I): Approximation in Presence of Deterministic and Stochastic Perturbations

Hossein Nick Zinat Matin; Richard B. Sowers

doi:10.23919/ACC45564.2020.9147363

Nonlinear Optimal Velocity Car Following Dynamics (I): Approximation in Presence of Deterministic and Stochastic Perturbations

Hossein Nick Zinat Matin
, Richard B. Sowers

University of Illinois
Department of Mathematics
University of Illinois at Urbana-Champaign

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Citations (Scopus)

Abstract

The behavior of the optimal velocity model is investigated in this paper. Both deterministic and stochastic perturbations are considered in the Optimal velocity model and the behavior of the dynamical systems and their convergence to their associated averaged problems is studied in detail.

Original language	English
Title of host publication	2020 American Control Conference, ACC 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	410-415
Number of pages	6
ISBN (Electronic)	9781538682661
DOIs	https://doi.org/10.23919/ACC45564.2020.9147363
Publication status	Published - 1 Jul 2020
Externally published	Yes
Event	2020 American Control Conference, ACC 2020 - Virtual, Online, United States Duration: 1 Jul 2020 → 3 Jul 2020

Publication series

Name	Proceedings of the American Control Conference
Volume	2020-July
ISSN (Print)	0743-1619

Conference

Conference	2020 American Control Conference, ACC 2020
Country/Territory	United States
City	Virtual, Online
Period	1/07/20 → 3/07/20

Access to Document

10.23919/ACC45564.2020.9147363

Cite this

Zinat Matin, H. N., & Sowers, R. B. (2020). Nonlinear Optimal Velocity Car Following Dynamics (I): Approximation in Presence of Deterministic and Stochastic Perturbations. In 2020 American Control Conference, ACC 2020 (pp. 410-415). Article 9147363 (Proceedings of the American Control Conference; Vol. 2020-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC45564.2020.9147363

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title = "Nonlinear Optimal Velocity Car Following Dynamics (I): Approximation in Presence of Deterministic and Stochastic Perturbations",

abstract = "The behavior of the optimal velocity model is investigated in this paper. Both deterministic and stochastic perturbations are considered in the Optimal velocity model and the behavior of the dynamical systems and their convergence to their associated averaged problems is studied in detail.",

author = "\{Zinat Matin\}, \{Hossein Nick\} and Sowers, \{Richard B.\}",

note = "Publisher Copyright: {\textcopyright} 2020 AACC.; 2020 American Control Conference, ACC 2020 ; Conference date: 01-07-2020 Through 03-07-2020",

year = "2020",

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doi = "10.23919/ACC45564.2020.9147363",

language = "English",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2020 American Control Conference, ACC 2020",

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Zinat Matin, HN & Sowers, RB 2020, Nonlinear Optimal Velocity Car Following Dynamics (I): Approximation in Presence of Deterministic and Stochastic Perturbations. in 2020 American Control Conference, ACC 2020., 9147363, Proceedings of the American Control Conference, vol. 2020-July, Institute of Electrical and Electronics Engineers Inc., pp. 410-415, 2020 American Control Conference, ACC 2020, Virtual, Online, United States, 1/07/20. https://doi.org/10.23919/ACC45564.2020.9147363

Nonlinear Optimal Velocity Car Following Dynamics (I): Approximation in Presence of Deterministic and Stochastic Perturbations. / Zinat Matin, Hossein Nick; Sowers, Richard B.
2020 American Control Conference, ACC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 410-415 9147363 (Proceedings of the American Control Conference; Vol. 2020-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Nonlinear Optimal Velocity Car Following Dynamics (I)

T2 - 2020 American Control Conference, ACC 2020

AU - Zinat Matin, Hossein Nick

AU - Sowers, Richard B.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - The behavior of the optimal velocity model is investigated in this paper. Both deterministic and stochastic perturbations are considered in the Optimal velocity model and the behavior of the dynamical systems and their convergence to their associated averaged problems is studied in detail.

AB - The behavior of the optimal velocity model is investigated in this paper. Both deterministic and stochastic perturbations are considered in the Optimal velocity model and the behavior of the dynamical systems and their convergence to their associated averaged problems is studied in detail.

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DO - 10.23919/ACC45564.2020.9147363

M3 - Conference contribution

AN - SCOPUS:85089579103

T3 - Proceedings of the American Control Conference

SP - 410

EP - 415

BT - 2020 American Control Conference, ACC 2020

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 1 July 2020 through 3 July 2020

ER -

Nonlinear Optimal Velocity Car Following Dynamics (I): Approximation in Presence of Deterministic and Stochastic Perturbations

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