Feedback stabilization of the linearized Viscous Saint-Venant system by constrained Dirichlet boundary control
DOI10.7153/oam-2023-17-41OpenAlexW4387716537MaRDI QIDQ6122884
Publication date: 4 March 2024
Published in: Operators and Matrices (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/oam-2023-17-41
stabilizationunbounded operatorfeedback control lawconstrained boundary controllinearized viscous Saint-Venant system
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Stabilization of systems by feedback (93D15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Cites Work
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- Boundary stabilizability of the linearized viscous Saint-Venant system
- Representation and control of infinite dimensional systems. Volume I
- The regulator problem for parabolic equations with Dirichlet boundary control. I: Riccati's feedback synthesis and regularity of optimal solution
- Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions
- Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
- On the stabilizability problem in Banach space
- Representation and control of infinite dimensional systems. Vol. 2
- Boundary stabilization of quasilinear hyperbolic systems of balance laws: exponential decay for small source terms
- Local stabilization of the compressible Navier-Stokes system, around null velocity, in one dimension
- Neumann boundary feedback stabilization for a nonlinear wave equation: A strict \(H^2\)-Lyapunov function
- Boundary feedback stabilization of the telegraph equation: decay rates for vanishing damping term
- Stabilizability of a quasi-linear parabolic equation by means of a boundary control with feedback
- Feedback Boundary Stabilization of the Two-Dimensional Navier--Stokes Equations
- Rapid Boundary Stabilization of the Wave Equation
- Algebraic Riccati Equation Arising in Boundary Control Problems
- Controllability and Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension
- Finite-Time Stabilization of $2\times2$ Hyperbolic Systems on Tree-Shaped Networks
- Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
- Stabilizability of two-dimensional Navier-Stokes equations with help of a boundary feedback control
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