Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation
From MaRDI portal
Publication:907300
DOI10.3934/mcrf.2016.6.1zbMath1331.35235arXiv1211.7202OpenAlexW2330325870MaRDI QIDQ907300
Thomas Duyckaerts, Kaïs Ammari, Armen R. Shirikyan
Publication date: 25 January 2016
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.7202
Feedback control (93B52) Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) Observability (93B07) Second-order semilinear hyperbolic equations (35L71)
Related Items (9)
Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems ⋮ Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations ⋮ Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators ⋮ Stabilizability for a Quasilinear Klein–Gordon-Wave System with Variable Coefficients ⋮ Boundary stabilization of the focusing NLKG equation near unstable equilibria: radial case ⋮ Nonlinear damped partial differential equations and their uniform discretizations ⋮ Hölder stability in determining the potential and the damping coefficient in a wave equation ⋮ Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations ⋮ Boundary stabilisation to non-stationary solutions for deterministic and stochastic parabolic-type equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold
- Stabilization of the wave equation by the boundary
- Exact controllability for the semilinear wave equation
- Exact controllability for semilinear wave equations
- Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
- Exact controllability for semilinear wave equations in one space dimension
- Stabilization and control for the nonlinear Schrödinger equation on a compact surface
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
- Global Controllability and Stabilization for the Nonlinear Schrödinger Equation on Some Compact Manifolds of Dimension 3
- Internal Exponential Stabilization to a Nonstationary Solution for 3D Navier–Stokes Equations
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- Exact Controllability for Multidimensional Semilinear Hyperbolic Equations
- Analysis of the HUM Control Operator and Exact Controllability for Semilinear Waves in Uniform Time
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Local controllability of a nonlinear wave equation
- Controllability of the Nonlinear Wave Equation in Several Space Variables
- Stabilization and control for the subcritical semilinear wave equation
- GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS
- A Note on the Semiglobal Controllability of the Semilinear Wave Equation
- Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
- Exact controllability of semilinear evolution systems and its application
This page was built for publication: Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation
