Boundary output feedback stabilization for 2-D and 3-D parabolic equations
Year: 2025
Type: article
Abstract: The present paper addresses the topic of boundary output feedback stabilization of parabolic-type equations, governed by linear differential operators which can be diagonalized by the introduction of adequate weighting functions (by means of the Sturm–Liouville method), and which evolve in bounded spatial domains that are subsets of R d , d = 2 , 3 . Generalizing previous works for the boundary output feedback control of 1-D parabolic PDEs and for the state feedback control of multi-D parabolic PDEs, we report in this paper an output feedback boundary stabilizing control with internal Dirichlet measurements designed by means of a finite-dimensional observer. The reported control design procedure is shown to be systematic for 2-D and 3-D parabolic equations.
Source: Automatica
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,760
OpenAlex ID: W4408732209