Rapid stabilization of a degenerate parabolic equation using a backstepping approach: the case of a boundary control acting at the degeneracy

DOI10.3934/mcrf.2023032zbMATH Open1542.93322MaRDI QIDQ6588551

Pierre Lissy, Claudia Moreno

Publication date: 16 August 2024

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

zbMATH Keywords

stabilizationbacksteppingdegenerate parabolic equationBessel functionsFredholm transform

Mathematics Subject Classification ID

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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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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