Gabriela Marinoschi
Gheorghe Mihoc-Caius Iacob Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Bucharest

The H-infinity control is a technique used in control theory to design robust stabilizing feedback controllers that force a system corrupted by perturbations to achieve stability with a prescribed performance. This method involves a transfer function which incorporates the effects of the input perturbations towards the output observation. The aim is to determine the optimal feedback controller which minimizes the effect of these perturbations on the output, by ensuring that the $L^{2}$-norm of the transfer function is smaller than the $L^{2}$-norm of the perturbation with a certain prescribed bound. We present the H-infinity control problem with state feedback for infinite dimensional boundary control systems of parabolic type with distributed disturbances and discuss some applications.