Controllability of the Stefan problem by the flatness approach

B Colle, J Lohéac, T Takahashi - Systems & Control Letters, 2023 - Elsevier
We show the boundary controllability to stationary states of the Stefan problem with two
phases and in one dimension in the space variable. In the case of an initial condition that is …

Pattern control via Diffussion interaction

D Ruiz-Balet, E Zuazua - arxiv preprint arxiv:2407.17514, 2024 - arxiv.org
We analyse a dynamic control problem for scalar reaction-diffusion equations, focusing on
the emulation of pattern formation through the selection of appropriate active controls. While …

Control of reaction-diffusion models in biology and social sciences

D Ruiz-Balet, E Zuazua - 2019 - hal.science
These lecture notes address the controllability under state constraints of reaction-diffusion
equations arising in socio-biological contexts. We restrict our study to scalar equations with …

Numerical solution of a control problem for a parabolic system with disturbances

IV Izmestyev, VI Ukhobotov… - Вестник Удмуртского …, 2024 - mathnet.ru
A controlled parabolic system that describes the heating of a given number of rods is
considered. The density functions of the internal heat sources of the rods are not known …

[HTML][HTML] Control problem for a parabolic system with uncertainties and a non-convex goal

IE Igor'V, VI Ukhobotov - Ural Mathematical Journal, 2023 - cyberleninka.ru
We consider the control problem for a parabolic system that describes the heating of a given
number of rods. Control is carried out through heat sources that are located at the ends of …

[PDF][PDF] Math-Net. Ru

IV Izmestyev, VI Ukhobotov, KN Kudryavtsev - researchgate.net
A controlled parabolic system that describes the heating of a given number of rods is
considered. The density functions of the internal heat sources of the rods are not known …