Boundary stabilization of the phase field system by finite-dimensional feedback controllers

DOI10.1016/j.jmaa.2013.11.018zbMath1307.93327OpenAlexW1974495583MaRDI QIDQ2019172

Ionuţ Munteanu

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.018

zbMATH Keywords

stabilizationphase field systemboundary feedback controllereigenfunctions of the Laplace operator

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Eigenvalue problems (93B60)

Related Items (12)

Stabilisation of parabolic semilinear equations ⋮ Design of boundary stabilizers for the non-autonomous cubic semilinear heat equation driven by a multiplicative noise ⋮ Boundary feedback stabilization of Fisher's equation ⋮ Global stabilization of the Navier-Stokes-voight and the damped nonlinear wave equations by finite number of feedback controllers ⋮ Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions ⋮ Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback ⋮ Stabilization of stochastic parabolic equations with boundary-noise and boundary-control ⋮ Boundary stabilization of the stochastic heat equation by proportional feedbacks ⋮ Boundary sampled-data feedback stabilization for parabolic equations ⋮ Boundary feedback stabilization of Boussinesq equations ⋮ Boundary stabilisation to non-stationary solutions for deterministic and stochastic parabolic-type equations ⋮ Stabilisation of a linearised Cahn–Hilliard system for phase separation by proportional boundary feedbacks

Cites Work

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• An analysis of a phase field model of a free boundary
• Boundary feedback stabilizability of parabolic equations
• Elliptic partial differential equations of second order
• Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
• Stabilization of Navier--Stokes Equations by Oblique Boundary Feedback Controllers
• Optimal boundary controls for a phase field model
• The Optimal Time Control of A Phase-Field System
• Boundary Stabilization of Equilibrium Solutions to Parabolic Equations
• Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions

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