Boundary feedback control of linear hyperbolic systems: application to the Saint-Venant-Exner equations

DOI10.1016/j.automatica.2017.11.028zbMath1387.93089OpenAlexW2773260868MaRDI QIDQ1640229

Joseph J. Winkin, Christophe Prieur

Publication date: 14 June 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.11.028

zbMATH Keywords

boundary controldistributed parameter systemshyperbolic partial differential equationsSaint-Venant-Exner equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Operator-theoretic methods (93B28) First-order hyperbolic equations (35L02)

Related Items (11)

Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems ⋮ Delay-compensated event-triggered boundary control of hyperbolic PDEs for deep-sea construction ⋮ Boundary control design for conservation laws in the presence of measurement disturbances ⋮ High-gain observer for \(3 \times 3\) linear heterodirectional hyperbolic systems ⋮ Output feedback stabilization of reaction-diffusion PDEs with a non-collocated boundary condition ⋮ Fluvial to torrential phase transition in open canals ⋮ Linear quadratic optimal control for systems governed by first-order hyperbolic partial differential equations ⋮ Turnpike properties of optimal boundary control problems with random linear hyperbolic systems ⋮ Input-to-state stability of non-uniform linear hyperbolic systems of balance laws via boundary feedback control ⋮ Stability results for the continuity equation ⋮ Feedback control of water waves in a tube with moving boundary

Uses Software

• YALMIP

Cites Work

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• LQ-optimal boundary control of infinite-dimensional systems with Yosida-type approximate boundary observation
• Stability and boundary stabilization of 1-D hyperbolic systems
• ISS-Lyapunov functions for time-varying hyperbolic systems of balance laws
• Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
• Backstepping stabilization of the linearized \textit{Saint-Venant-Exner} model
• Tikhonov theorem for linear hyperbolic systems
• LQ control design of a class of hyperbolic PDE systems: application to fixed-bed reactor
• Robust boundary control of systems of conservation laws
• Global boundary controllability of the Saint-Venant system for sloped canals with friction
• Optimal control of stable weakly regular linear systems
• Formulations for numerically approximating hyperbolic systems governing sediment transport
• Classical solutions and feedback stabilization for the gas flow in a sequence of pipes
• Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments
• Gas Flow in Fan-Shaped Networks: Classical Solutions and Feedback Stabilization
• Dissipative Operators and Hyperbolic Systems of Partial Differential Equations
• Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Linear Matrix Inequalities in System and Control Theory
• Boundary Control of Coupled Reaction-Advection-Diffusion Systems With Spatially-Varying Coefficients

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