Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7109544 | Automatica | 2016 | 8 Pages |
Abstract
We consider global stability of a flow network model for vehicular traffic. Standard approaches which rely on monotonicity of flow networks for stability analysis do not immediately apply to traffic networks with diverging junctions. In this paper, we show that the network model nonetheless exhibits a mixed monotonicity property. Mixed monotonicity allows us to prove global asymptotic stability by embedding the system in a larger system that is monotone.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Samuel Coogan, Murat Arcak,