Boundary stabilization of the stochastic heat equation by proportional feedbacks

DOI10.1016/j.automatica.2017.10.003zbMath1378.93138OpenAlexW2774438924MaRDI QIDQ680510

Ionuţ Munteanu

Publication date: 23 January 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2017.10.003

zbMATH Keywords

stochastic controlasymptotic stabilizationanalytic design

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Heat equation (35K05) Stochastic stability in control theory (93E15) Stochastic systems in control theory (general) (93E03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items

Design of boundary stabilizers for the non-autonomous cubic semilinear heat equation driven by a multiplicative noise, Predictor methods for finite-dimensional observer-based control of stochastic parabolic PDEs, Constructive finite-dimensional boundary control of stochastic 1D parabolic PDEs, Sampled-Data Finite-Dimensional Observer-Based Control of 1D Stochastic Parabolic PDEs, Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions, Unnamed Item, Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback, Stabilization of cycles for difference equations with a noisy PF control

Cites Work

• Unnamed Item
• Unnamed Item
• Boundary feedback stabilization of Fisher's equation
• KPZ equation, its renormalization and invariant measures
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• Stochastic Burgers and KPZ equations from particle systems
• On the stochastic Burgers' equation in the real line
• Boundary stabilization of the phase field system by finite-dimensional feedback controllers
• Stabilization of semilinear heat equations, with fading memory, by boundary feedbacks
• Stabilization of a 3-D periodic channel flow by explicit normal boundary feedbacks
• Abstract settings for tangential boundary stabilization of Navier--Stokes equations by high- and low-gain feedback controllers.
• Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability
• On stabilization of partial differential equations by noise
• Stabilizability of a quasi-linear parabolic equation by means of a boundary control with feedback
• On the behaviour of stochastic heat equations on bounded domains
• Boundary Control of PDEs
• Parabolic Anderson problem and intermittency
• Boundary Feedback Stabilization of an Unstable Heat Equation
• Boundary control of an unstable heat equation via measurement of domain-averaged temperature
• Boundary stabilization of a 2-D periodic MHD channel flow, by proportional feedbacks
• Boundary stabilisation of the Navier–Stokes Equation with Fading Memory
• Stabilisation of parabolic semilinear equations
• Boundary Stabilization of Equilibrium Solutions to Parabolic Equations
• Some effects of the noise intensity upon non-linear stochastic heat equations on \([0, 1\)]