Spectral stabilization of linear transport equations with boundary and in-domain couplings

DOI10.5802/crmath.288zbMath1493.93045OpenAlexW3185524872MaRDI QIDQ2122132

Mathias Dus, Christophe Prieur, Francesco Ferrante

Publication date: 6 April 2022

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.288

zbMATH Keywords

boundary controltransport equationcouplied in-domainspectral stabilization

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Exponential stability (93D23)

Cites Work

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• Stability and boundary stabilization of 1-D hyperbolic systems
• Lyapunov exponential stability of 1-D linear hyperbolic systems of balance laws
• On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval
• Semigroups of linear operators and applications to partial differential equations
• On the spectrum of evolution operators generated by hyperbolic systems
• Boundary feedback control in networks of open channels.
• Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation
• Perturbation theory for linear operators.
• Adaptive boundary observer design for linear hyperbolic systems; application to estimation in heat exchangers
• Boundary observer design for cascaded ODE-hyperbolic PDE systems: a matrix inequalities approach
• On Lyapunov stability of linearised Saint-Venant equations for a sloping channel
• Boundary observers for linear and quasi-linear hyperbolic systems with application to flow control
• Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
• On the Type of Certain C^o-Semigroups
• Boundary Control of PDEs
• Spectral mapping theorem for linear hyperbolic systems
• On the Spectrum of C 0 -Semigroups
• Spectral Theory for Contraction Semigroups on Hilbert Space
• Exponential Stability and Transfer Functions of Processes Governed by Symmetric Hyperbolic Systems
• Boundary Exponential Stabilization of 1-Dimensional Inhomogeneous Quasi-Linear Hyperbolic Systems
• Stability and Stabilization of Linear Systems with Saturating Actuators
• Resurrection of "Second Order" Models of Traffic Flow
• On boundary stability of inhomogeneous 2 × 2 1-D hyperbolic systems for the C¹ norm
• Boundary Stability of 1-D Nonlinear Inhomogeneous Hyperbolic Systems for the $C^{1}$ Norm

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