Biblio
Filters: Author is Murat Arcak", %keywords = "Monotonicity", %%keywords = "Transportation networks", %keywords = "Networked systems [Clear All Filters]
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Submitted. Stability of traffic flow networks with a polytree topology. Automatica. 66", %number = ":246-253.
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.