DOI: 10.5176/978-981-08-7656-2_NTC2010-21
Authors: T. Peter and J. Bokor
Abstract:
This paper introduces a method of mathematical modeling of high scale road traffic networks. The elaborated model is in state space form where the states are vehicle densities on a particular lane and the dynamics is described by a non linear state constrained positive system. This model can be used directly for simulation and analysis and as a starting point for investigating various control strategies. Stability of the traffic over the network can be analyzed by construction linear Lyapunov function and the associated theory.
Keywords: component; mathematical modeling and control,traffic networks, nonlinear positive system, linear Lyapunov function
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