Close the abstract
3. Real and Complex Analysis, Potential Theory

The $H$-infinity control problem for parabolic systems

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

Abstract:

The $H$-infinity control is a technique used in control theory to design robust stabilizing feedback controllers that force a system to achieve stability with a prescribed performance even if the system output may be corrupted by perturbations. We present the $H$-infinity control problem with state feedback for infinite dimensional boundary control systems of parabolic type with distributed disturbances and discuss an application to an equation with a Hardy potential.