Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction
DOI10.1051/cocv/2022076zbMath1506.35163arXiv2206.01385OpenAlexW4309046900MaRDI QIDQ5060168
Krstić, Miroslav, Iasson Karafyllis, Filippos Vokos
Publication date: 18 January 2023
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.01385
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Asymptotic stability in control theory (93D20) Partial functional-differential equations (35R10) Second-order parabolic equations (35K10)
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Cites Work
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- Stability and boundary stabilization of 1-D hyperbolic systems
- A note on the viscous, 1D shallow water equations: traveling wave phenomena
- Backstepping stabilization of the linearized \textit{Saint-Venant-Exner} model
- Boundary control of linearized Saint-Venant equations oscillating modes
- On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
- Mathematical justification of a shallow water model
- A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope
- Global existence for the Dirichlet problem for the viscous shallow water equations
- Exponential stability of density-velocity systems with boundary conditions and source term for the \(H^2\) norm
- Stabilization of the linearized water tank system
- Feedforward boundary control of \(2\times 2\) nonlinear hyperbolic systems with application to Saint-Venant equations
- On Lyapunov stability of linearised Saint-Venant equations for a sloping channel
- Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments
- Stabilization of a 1-D tank containing a fluid modeled by the shallow water equations
- Global Existence of Classical Solutions in the Dissipative Shallow Water Equations
- Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
- Global Stabilization of Compressible Flow between Two Moving Pistons
- Asymptotic Stability of Steady-states for Saint-Venant Equations with Real Viscosity
- Global Stabilization of a Class of Nonlinear Reaction-Diffusion Partial Differential Equations by Boundary Feedback
- Dynamics and solutions to some control problems for water-tank systems
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
- Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
- Spill-Free Transfer and Stabilization of Viscous Liquid
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