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 language | English (US) |
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| Title of host publication | 2013 American Control Conference, ACC 2013 |
| Pages | 4056-4061 |
| Number of pages | 6 |
| State | Published - 2013 |
| Event | 2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: Jun 17 2013 → Jun 19 2013 |
Publication series
| Name | Proceedings of the American Control Conference |
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| ISSN (Print) | 0743-1619 |
Other
| Other | 2013 1st American Control Conference, ACC 2013 |
|---|---|
| Country | United States |
| City | Washington, DC |
| Period | 6/17/13 → 6/19/13 |
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).