Stability of traffic flow networks with a polytree topology

• Samuel Coogan ^[1] ; Murat Arcak ^[2]
  1. [1] University of California, Los Angeles, United States
  2. [2] University of California, Berkeley, United States
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 66, 2016, págs. 246-253
• Idioma: inglés
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• Resumen

  • 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.