PI boundary control of linear hyperbolic balance laws with stabilization of ARZ traffic flow models

DOI10.1016/j.sysconle.2018.11.005zbMath1408.93108OpenAlexW2902144114WikidataQ128813901 ScholiaQ128813901MaRDI QIDQ1729104

Liguo Zhang, Christophe Prieur, Jun-Fei Qiao

Publication date: 27 February 2019

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2018.11.005

zbMATH Keywords

boundary controlLyapunov functionexponential stabilityhyperbolic systems of balance lawsARZ traffic flow model

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Traffic problems in operations research (90B20)

Related Items (10)

Event-Triggered Output Feedback Control of Traffic Flow on Cascaded Roads ⋮ Analysis and control of a non-local PDE traffic flow model ⋮ Output feedback control of two-lane traffic congestion ⋮ Traffic flow control on cascaded roads by event‐triggered output feedback ⋮ Optimal observer‐based output feedback controller for traffic congestion with bottleneck ⋮ Saturated boundary feedback stabilization for LWR traffic flow model ⋮ Boundary proportional control of thermoacoustic instability in a Rijke tube ⋮ Local Proportional-Integral Boundary Feedback Stabilization for Quasilinear Hyperbolic Systems of Balance Laws ⋮ Stability results for the continuity equation ⋮ Simultaneous downstream and upstream output-feedback stabilization of cascaded freeway traffic

Uses Software

• Matlab

Cites Work

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