Convex Formulations of Data Assimilation Problems for a Class of Hamilton–Jacobi Equations

DOI10.1137/090778754zbMath1223.47119OpenAlexW1992099106MaRDI QIDQ3021255

Alexandre M. Bayen, Christian G. Claudel

Publication date: 22 July 2011

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090778754

zbMATH Keywords

convex optimizationHamilton-Jacobi equationdata assimilationtransportation engineeringdata reconciliation

Mathematics Subject Classification ID

Convex programming (90C25) Convex functions and convex programs in convex geometry (52A41) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Hamilton-Jacobi theories (49L99) Convexity properties of solutions to PDEs with constant coefficients (35E10)

Related Items (9)

Modeling and optimizing traffic light settings in road networks ⋮ Lagrangian-based hydrodynamic model for traffic data fusion on freeways ⋮ A Convex Formulation of Traffic Dynamics on Transportation Networks ⋮ Traffic light control: a case study ⋮ Efficient robust control of first order scalar conservation laws using semi-analytical solutions ⋮ A two-dimensional data-driven model for traffic flow on highways ⋮ The Inverse Problem for Hamilton--Jacobi Equations and Semiconcave Envelopes ⋮ Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model ⋮ Flow on Sweeping Networks

Uses Software

• EnKF

This page was built for publication: Convex Formulations of Data Assimilation Problems for a Class of Hamilton–Jacobi Equations