Rapid stabilization of a degenerate parabolic equation using a backstepping approach: the case of a boundary control acting at the degeneracy
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Publication:6588551
DOI10.3934/mcrf.2023032zbMATH Open1542.93322MaRDI QIDQ6588551
Publication date: 16 August 2024
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Control/observation systems governed by partial differential equations (93C20) Degenerate parabolic equations (35K65) Transformations (93B17) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Exponential stability (93D23)
Cites Work
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- Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right
- The cost of controlling weakly degenerate parabolic equations by boundary controls
- Compensating the distributed effect of a wave PDE in the actuation or sensing path of MIMO LTI systems
- A spectral inequality for degenerate operators and applications
- Rapid stabilization of a linearized bilinear 1-D Schrödinger equation
- Fredholm transformation on Laplacian and rapid stabilization for the heat equation
- Finite-time internal stabilization of a linear 1-D transport equation
- Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation
- Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach
- Null controllability of degenerate heat equations
- Infinite dimensional backstepping-style feedback transformations for a heat equation with an arbitrary level of instability
- On control design for PDEs with space-dependent diffusivity or time-dependent reactivity
- Exact Boundary Controllability of 1-D Parabolic and Hyperbolic Degenerate Equations
- GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS
- Boundary Control of PDEs
- Boundary Feedback Stabilization of an Unstable Heat Equation
- Boundary control of an unstable heat equation via measurement of domain-averaged temperature
- A Fredholm Transformation for the Rapid Stabilization of a Degenerate Parabolic Equation
- On the Fattorini criterion for approximate controllability and stabilizability of parabolic systems
Related Items (2)
An optimal spectral inequality for degenerate operators ⋮ Boundary controllability for a 1D degenerate parabolic equation with drift, a singular potential, and a Neumann boundary condition
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