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Stabilization of the linearized water tank system (Q2138644)

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English	Stabilization of the linearized water tank system	scientific article

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scholarly article

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Stabilization of the linearized water tank system (English)

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Jean-Michel Coron

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Shengquan Xiang

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Christophe Zhang

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Archive for Rational Mechanics and Analysis

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publication date

12 May 2022

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full work available at URL

https://arxiv.org/abs/2103.08293

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MaRDI profile type

MaRDI publication profile

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Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability

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On boundary feedback stabilization of non-uniform linear \(2\times 2\) hyperbolic systems over a bounded interval

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Stability and boundary stabilization of 1-D hyperbolic systems

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A quadratic Lyapunov function for hyperbolic density-velocity systems with nonuniform steady states

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On Lyapunov stability of linearised Saint-Venant equations for a sloping channel

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Backstepping in infinite dimension for a class of parabolic distributed parameter systems

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Boundary control of an unstable heat equation via measurement of domain-averaged temperature

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Rapid Stabilization for a Korteweg-de Vries Equation From the Left Dirichlet Boundary Condition

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An introduction to frames and Riesz bases

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Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations

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Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems

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A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws

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Rapid stabilization of a linearized bilinear 1-D Schrödinger equation

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Stabilization and controllability of first-order integro-differential hyperbolic equations

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Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation

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Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right

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Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation

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Adding an integrator for the stabilization problem

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Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping

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A linear control problem in an abstract Hilbert space

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Boundary feedback control in networks of open channels.

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Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems

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Backstepping stabilization of the linearized \textit{Saint-Venant-Exner} model

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Boundary control with integral action for hyperbolic systems of conservation laws: stability and experiments

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The effect of boundary damping for the quasilinear wave equation

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Ordinary Differential Equations

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Boundary Stability of 1-D Nonlinear Inhomogeneous Hyperbolic Systems for the $C^{1}$ Norm

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A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope

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Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls

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Nonlinear control systems.

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Perturbation theory for linear operators.

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An equiconvergence theorem for the Schrödinger operator

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On the equiconvergence of eigenfunction expansions associated with ordinary linear differential operators

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Rapid Boundary Stabilization of Linear Distributed Systems

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Boundary Control of PDEs

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Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions

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Dynamics and solutions to some control problems for water-tank systems

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Stabilization of a 1-D tank containing a fluid modeled by the shallow water equations

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Robust boundary control of systems of conservation laws

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Global smooth solutions of dissipative boundary value problems for first order quasilinear hyperbolic systems

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Spectral Assignability for Distributed Parameter Systems with Unbounded Scalar Control

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Canonical forms and spectral determination for a class of hyperbolic distributed parameter control systems

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On Spectrum Distribution of Completely Controllable Linear Systems

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Output regulation for a cascaded network of 2 \(\times\) 2 hyperbolic systems with PI controller

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Sufficient Lyapunov-like conditions for stabilization

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Rapid Exponential Feedback Stabilization with Unbounded Control Operators

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Rapid Stabilization in a Semigroup Framework

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Small-time local stabilization for a Korteweg-de Vries equation

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Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach

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Multivariable boundary PI control and regulation of a fluid flow system

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Finite-time internal stabilization of a linear 1-D transport equation

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Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback

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Identifiers

zbMATH Open document ID

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10.1007/s00205-022-01778-0

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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