6 papers
Dynamic Stabilisation of Boundary Control Systems
Mohamed Fkirine, Lassi Paunonen
We design observer-based controllers to stabilise abstract linear boundary control systems on Hilbert spaces. Our main results introduce conditions for exponential, strong, and pol…
Polynomial stability of wind turbine tower models
Mohamed Fkirine, Lassi Paunonen
We investigate the stabilization of mathematical models describing the structural dynamics of monopile wind turbine towers. In the fore-aft plane, we show that the system becomes p…
On the strong Feller property of the heat equation on quantum graphs with Kirchoff noise
Mohamed Fkirine, Mihály Kovács, Eszter Sikolya
We consider a so-called quantum graph with standard continuity and Kirchhoff vertex conditions where the Kirchhoff vertex condition is perturbed by Gaussian noise. We show that the…
On evolution equations with white-noise boundary conditions
Mohamed Fkirine, Said Hadd, Abdelaziz Rhandi
In this paper, we delve into the study of evolution equations that exhibit white-noise boundary conditions. Our primary focus is to establish a necessary and sufficient condition f…
On nonlinear Miyadera-Voigt perturbations
Mohamed Fkirine, Said Hadd
Let be linear operators on a Banach space such that generates a strongly continuous semigroup on , and be a globally Lipschitz fun…
Solving stochastic equations with unbounded nonlinear perturbations
Mohamed Fkirine, Said Hadd
This paper is interested in semilinear stochastic equations having unbounded nonlinear perturbations in the deterministic part and/or in the random part. Moreover, the linear part…