Robust stability of a dynamic traffic assignment model with uncertainties

Tengfei Liu, Zhong-Ping Jiang, Wuping Xin, William R. McShane

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, a modified dynamic traffic assignment model is developed to explicitly formulate the impact of inaccuracy of cost measurement/estimation and the time-varying travel demand. The modified model is analyzed by using Lyapunov methods and robust stability results in non-linear control theory. A robust convergence property of the model is derived, and interestingly, is closely related to Sontag's input-to-state stability (ISS) property. Simulation results are employed to validate the main result.

Original languageEnglish (US)
Title of host publication2013 American Control Conference, ACC 2013
Pages4056-4061
Number of pages6
StatePublished - 2013
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: Jun 17 2013Jun 19 2013

Other

Other2013 1st American Control Conference, ACC 2013
CountryUnited States
CityWashington, DC
Period6/17/136/19/13

Fingerprint

Lyapunov methods
Control theory
Robust stability
Uncertainty
Costs

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Liu, T., Jiang, Z-P., Xin, W., & McShane, W. R. (2013). Robust stability of a dynamic traffic assignment model with uncertainties. In 2013 American Control Conference, ACC 2013 (pp. 4056-4061). [6580461]

Robust stability of a dynamic traffic assignment model with uncertainties. / Liu, Tengfei; Jiang, Zhong-Ping; Xin, Wuping; McShane, William R.

2013 American Control Conference, ACC 2013. 2013. p. 4056-4061 6580461.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Liu, T, Jiang, Z-P, Xin, W & McShane, WR 2013, Robust stability of a dynamic traffic assignment model with uncertainties. in 2013 American Control Conference, ACC 2013., 6580461, pp. 4056-4061, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 6/17/13.
Liu T, Jiang Z-P, Xin W, McShane WR. Robust stability of a dynamic traffic assignment model with uncertainties. In 2013 American Control Conference, ACC 2013. 2013. p. 4056-4061. 6580461
Liu, Tengfei ; Jiang, Zhong-Ping ; Xin, Wuping ; McShane, William R. / Robust stability of a dynamic traffic assignment model with uncertainties. 2013 American Control Conference, ACC 2013. 2013. pp. 4056-4061
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