Error bounds for Kalman filters on traffic networks

DOI10.3934/nhm.2018012zbMath1405.93218OpenAlexW2804471827WikidataQ129824978 ScholiaQ129824978MaRDI QIDQ1713387

Daniel B. Work, Ye Sun

Publication date: 24 January 2019

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2018012

zbMATH Keywords

Kalman filterjunction modelsnetwork traffic flow

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Control/observation systems governed by partial differential equations (93C20) Estimation and detection in stochastic control theory (93E10) Traffic problems in operations research (90B20)

Cites Work

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• On sequential data assimilation for scalar macroscopic traffic flow models
• Freeway traffic estimation within particle filtering framework
• Numerical approximations of a traffic flow model on networks
• Stochastic processes and filtering theory
• State Estimation for Polyhedral Hybrid Systems and Applications to the Godunov Scheme for Highway Traffic Estimation
• A Traffic Model for Velocity Data Assimilation
• On the convergence of the Godounov's scheme for first order quasi linear equations
• Modeling, Simulation, and Optimization of Traffic Flow Networks
• Scaling the Kalman Filter for Large-Scale Traffic Estimation
• A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
• A Convex Formulation of Traffic Dynamics on Transportation Networks
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads

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