| Issue |
ESAIM: COCV
Volume 29, 2023
|
|
|---|---|---|
| Article Number | 73 | |
| Number of page(s) | 40 | |
| DOI | https://doi.org/10.1051/cocv/2023059 | |
| Published online | 14 September 2023 | |
The H∞-control problem for parabolic systems. Applications to systems with singular Hardy potentials*
Gheorghe Mihoc-Caius Iacob Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Calea 13 Septembrie 13, Bucharest, Romania
** Corresponding author: gabriela.marinoschi@acad.ro
Received:
11
February
2023
Accepted:
11
August
2023
We solve the H∞-control problem with state feedback for infinite dimensional boundary control systems of parabolic type with distributed disturbances and provide some applications of this result to equations with Hardy potentials with the singularity inside or on the boundary, in the cases of a distributed control and of a boundary control.
Mathematics Subject Classification: 93B36 / 93B52 / 93B35 / 35K90
Key words: H∞-control / feedback control / robust control / abstract parabolic problems / Hardy potentials
© The authors. Published by EDP Sciences, SMAI 2023
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