Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators
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Publication:5107972
DOI10.1051/cocv/2018054zbMath1436.93106OpenAlexW2893080515WikidataQ115554805 ScholiaQ115554805MaRDI QIDQ5107972
Sérgio S. Rodrigues, Karl Kunisch
Publication date: 29 April 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2018054
exponential stabilizationfinite-dimensional controllerexplicit feedbacknonautonomous parabolic systems
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Exponential stability (93D23)
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Cites Work
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- Gevrey regularity for Navier-Stokes equations under Lions boundary conditions
- On the Schrödinger equation and the eigenvalue problem
- Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation
- Numerical solution of differential algebraic Riccati equations
- Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers
- Functional analysis, Sobolev spaces and partial differential equations
- Stabilization to trajectories for parabolic equations
- Stabilization of Navier-Stokes flows.
- Controllablity of Couette flows
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
- Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
- Stabilization of Parabolic Nonlinear Systems with Finite Dimensional Feedback or Dynamical Controllers: Application to the Navier–Stokes System
- Internal Exponential Stabilization to a Nonstationary Solution for 3D Navier–Stokes Equations
- Stabilization of Navier--Stokes Equations by Oblique Boundary Feedback Controllers
- The Linear Regulator Problem for Parabolic Systems
- Mesh Independence of Kleinman–Newton Iterations for Riccati Equations in Hilbert Space
- Carleman estimates for parabolic equations and applications
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- Optimal actuator design based on shape calculus
- Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations
- Boundary stabilisation to non-stationary solutions for deterministic and stochastic parabolic-type equations
- Remarks on the Internal Exponential Stabilization to a Nonstationary Solution for 1D Burgers Equations
- Linear-Quadratic Optimal Actuator Location
- Boundary Stabilization of Equilibrium Solutions to Parabolic Equations
- Feedback Stabilization to Nonstationary Solutions of a Class of Reaction Diffusion Equations of FitzHugh--Nagumo Type
- Numerical Experiment for Stabilization of the Heat Equation by Dirichlet Boundary Control
- GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS
- Internal stabilization of Navier-Stokes equations with finite-dimensional controllers
- Actuator Design for Parabolic Distributed Parameter Systems with the Moment Method
- Mathematical control theory: an introduction
