Internal feedback stabilization for parabolic systems coupled in zero or first order terms

DOI10.3934/eect.2020069zbMath1480.35282OpenAlexW3036777452MaRDI QIDQ2062171

Elena-Alexandra Melnig

Publication date: 24 December 2021

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2020069

zbMATH Keywords

feedback stabilizationparabolic systemsunique continuation propertyKalman rank condition

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Reaction-diffusion equations (35K57) Linearizations (93B18) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Internal Controllability of Parabolic Systems with Star- and Tree-like Couplings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Internal feedback stabilization of nonstationary solutions to semilinear parabolic systems
• A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
• Semigroups of linear operators and applications to partial differential equations
• Unique continuation for some evolution equations
• Internal stabilization of semilinear parabolic systems
• Positive and negative results on the internal controllability of parabolic equations coupled by zero- and first-order terms
• Controllability and stabilization of parabolic equations
• Controllability results for cascade systems of \(m\) coupled parabolic PDEs by one control force
• Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
• Feedback stabilization of 2D Navier-Stokes equations with Navier slip boundary conditions
• Feedback Stabilization of Magnetohydrodynamic Equations
• Internal Exponential Stabilization to a Nonstationary Solution for 3D Navier–Stokes Equations
• Internal Observability for Coupled Systems of Linear Partial Differential Equations
• Feedback stabilization of periodic solutions to nonlinear parabolic like evolution systems
• Interpolation Theory
• Tangential boundary stabilization of Navier-Stokes equations
• Norms and Domains of the Complex Powers A B z
• Internal stabilization of Navier-Stokes equations with finite-dimensional controllers

This page was built for publication: Internal feedback stabilization for parabolic systems coupled in zero or first order terms