Stabilization of the linearized water tank system
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Publication:2138644
DOI10.1007/s00205-022-01778-0zbMath1491.93089arXiv2103.08293OpenAlexW3133768333MaRDI QIDQ2138644
Christophe Zhang, Shengquan Xiang, Jean-Michel Coron, Amaury Hayat
Publication date: 12 May 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.08293
Controllability (93B05) Feedback control (93B52) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linearizations (93B18)
Related Items (4)
Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction ⋮ Boundary stabilization of one-dimensional cross-diffusion systems in a moving domain: linearized system ⋮ Fredholm transformation on Laplacian and rapid stabilization for the heat equation ⋮ On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities
Cites Work
- Stability and boundary stabilization of 1-D hyperbolic systems
- Stabilization and controllability of first-order integro-differential hyperbolic equations
- Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right
- Backstepping stabilization of the linearized \textit{Saint-Venant-Exner} model
- On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval
- Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems
- Robust boundary control of systems of conservation laws
- Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions
- An equiconvergence theorem for the Schrödinger operator
- The effect of boundary damping for the quasilinear wave equation
- Global smooth solutions of dissipative boundary value problems for first order quasilinear hyperbolic systems
- On the equiconvergence of eigenfunction expansions associated with ordinary linear differential operators
- Adding an integrator for the stabilization problem
- Canonical forms and spectral determination for a class of hyperbolic distributed parameter control systems
- Sufficient Lyapunov-like conditions for stabilization
- Nonlinear control systems.
- Backstepping in infinite dimension for a class of parabolic distributed parameter systems
- Boundary feedback control in networks of open channels.
- Rapid stabilization of a linearized bilinear 1-D Schrödinger equation
- Output regulation for a cascaded network of 2 \(\times\) 2 hyperbolic systems with PI controller
- Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation
- Small-time local stabilization for a Korteweg-de Vries equation
- A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope
- Perturbation theory for linear operators.
- Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback
- On Lyapunov stability of linearised Saint-Venant equations for a sloping channel
- Finite-time internal stabilization of a linear 1-D transport equation
- Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation
- A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states
- 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
- Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability
- Multivariable boundary PI control and regulation of a fluid flow system
- A linear control problem in an abstract Hilbert space
- Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- Rapid Stabilization in a Semigroup Framework
- Boundary Control of PDEs
- Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
- On Spectrum Distribution of Completely Controllable Linear Systems
- Rapid Boundary Stabilization of Linear Distributed Systems
- Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
- Boundary control of an unstable heat equation via measurement of domain-averaged temperature
- Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach
- Spectral Assignability for Distributed Parameter Systems with Unbounded Scalar Control
- Boundary Stability of 1-D Nonlinear Inhomogeneous Hyperbolic Systems for the $C^{1}$ Norm
- Dynamics and solutions to some control problems for water-tank systems
- A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
- Rapid Exponential Feedback Stabilization with Unbounded Control Operators
- Rapid Stabilization for a Korteweg-de Vries Equation From the Left Dirichlet Boundary Condition
- Ordinary Differential Equations
- An introduction to frames and Riesz bases
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