Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right
From MaRDI portal
Publication:472938
DOI10.1016/j.matpur.2014.03.004zbMath1302.35333arXiv1311.4031OpenAlexW2114920878MaRDI QIDQ472938
Publication date: 20 November 2014
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.4031
Feedback control (93B52) Stabilization of systems by feedback (93D15) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items (38)
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback ⋮ Local exponential stabilization for a class of Korteweg-de Vries equations by means of time-varying feedback laws ⋮ Stabilization of the linearized water tank system ⋮ Exact synchronization and asymptotic synchronization for linear ODEs ⋮ Rapid stabilization of a linearized bilinear 1-D Schrödinger equation ⋮ The stability and exponential stabilization of the heat equation with memory ⋮ Stabilization and controllability of first-order integro-differential hyperbolic equations ⋮ Stabilization of higher order Schrödinger equations on a finite interval. II ⋮ Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach ⋮ On the asymptotic stability of the Korteweg-de Vries equation with time-delayed internal feedback ⋮ Characterizations of Complete Stabilizability ⋮ Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation ⋮ Global Stabilization of a Korteweg--De Vries Equation With Saturating Distributed Control ⋮ ISS Lyapunov Strictification via Observer Design and Integral Action Control for a Korteweg–de Vries Equation ⋮ Parameter estimation and output feedback stabilization for the linear Korteweg-de Vries equation with disturbed boundary measurement ⋮ Small-time local stabilization for a Korteweg-de Vries equation ⋮ The stability and stabilization of heat equation in non-cylindrical domain ⋮ Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space ⋮ Pseudo-Backstepping and Its Application to the Control of Korteweg--de Vries Equation from the Right Endpoint on a Finite Domain ⋮ Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach ⋮ Null-controllability of linear hyperbolic systems in one dimensional space ⋮ Output feedback stabilization of the Korteweg-de Vries equation ⋮ A Fredholm Transformation for the Rapid Stabilization of a Degenerate Parabolic Equation ⋮ Asymptotic behavior of Boussinesq system of KdV-KdV type ⋮ Boundary feedback stabilization of the Korteweg-de Vries-Burgers equation posed on a finite interval ⋮ Impulse output rapid stabilization for heat equations ⋮ Output feedback stabilization of the linearized Korteweg-de Vries equation with right endpoint controllers ⋮ Qualitative analysis of the dynamic for the nonlinear Korteweg-de Vries equation with a boundary memory ⋮ PREFACE ⋮ Characterization by observability inequalities of controllability and stabilization properties ⋮ Exponential stabilization on infinite dimensional system with impulse controls ⋮ Stabilization of higher order Schrödinger equations on a finite interval. I ⋮ Boundary Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension by Backstepping Approach ⋮ Cost for a controlled linear KdV equation ⋮ Fredholm transformation on Laplacian and rapid stabilization for the heat equation ⋮ Finite-time internal stabilization of a linear 1-D transport equation ⋮ Output Feedback Control of a Cascade System of Linear Korteweg--de Vries Equations ⋮ Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Control and stabilization of the Korteweg-de Vries equation: recent progresses
- Rapid exponential stabilization for a linear Korteweg-de Vries equation
- Adaptive nonlinear control without overparametrization
- Backstepping in infinite dimension for a class of parabolic distributed parameter systems
- Backstepping boundary control of Burgers' equation with actuator dynamics
- Exact boundary controllability of a nonlinear KdV equation with critical lengths
- Smoothing and decay properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation
- Control of a Korteweg-de Vries equation: a tutorial
- Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- Global Stabilization of the Generalized Korteweg--de Vries Equation Posed on a Finite Domain
- Boundary Control of PDEs
- Dissipative Boundary Conditions for One-Dimensional Nonlinear Hyperbolic Systems
- Rapid Boundary Stabilization of Linear Distributed Systems
- Stabilization of a rotating body beam without damping
- Stabilization of the Korteweg-de Vries equation with localized damping
- Boundary control of an unstable heat equation via measurement of domain-averaged temperature
- Exact controllability and stabilizability of the Korteweg-de Vries equation
- On the uniform decay for the Korteweg–de Vries equation with weak damping
- Rapid Exponential Feedback Stabilization with Unbounded Control Operators
- Rapid Stabilization for a Korteweg-de Vries Equation From the Left Dirichlet Boundary Condition
- Control of the surface of a fluid by a wavemaker
- A Note on Complete Controllability and Stabilizability for Linear Control Systems in Hilbert Space
This page was built for publication: Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right
