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

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • 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] (Proceedings of the American Control Conference).