Title :
Robust stability of a dynamic traffic assignment model with uncertainties
Author :
Tengfei Liu ; Zhong-Ping Jiang ; Wuping Xin ; McShane, William R.
Author_Institution :
Dept. of Electr. & Comput. Eng., Polytech. Inst. of New York Univ., Brooklyn, NY, USA
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.
Keywords :
Lyapunov methods; nonlinear control systems; road traffic; robust control; time-varying systems; ISS property; Lyapunov methods; Sontag input-to-state stability; cost estimation; cost measurement; dynamic traffic assignment model; nonlinear control theory; robust stability; time varying travel demand; Convergence; Estimation; Lyapunov methods; Mathematical model; Stability analysis; Transportation; Uncertainty;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6580461
