Work

Symmetric Monotone Embedding of Traffic Flow Networks with First-In-First-Out Dynamics

Year: 2016

Type: article

Abstract: We study a flow network model for vehicular traffic that captures congestion effects at diverging junctions. Standard approaches which rely on monotonicity of the flow dynamics do not immediately apply to such first-in-first-out models. The network model nonetheless exhibits a mixed monotonicity property. Mixed monotonicity enables the original system to be embedded in a system of twice the dimension that is monotone and symmetric. The dynamics of the original system are recovered on a subspace of the embedding system, and we prove global asymptotic stability for a class of networks by considering convergence properties of the embedding system.

Source: IFAC-PapersOnLine

DOI: 10.1016/j.ifacol.2016.10.238

Authors: Samuel Coogan, Murat Arcak

Institutions: University of California, Los Angeles, University of California, Berkeley

Language: English

Topic: Traffic control and management

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2561642169

FWCI:

Cites: 25

Cited by: 1

Related to: 10