6 papers · 1 filter
Stabilization of nonautonomous linear parabolic equations with inputs subject to time-delay
Karl Kunisch, Sérgio S. Rodrigues
The stabilization of nonautonomous parabolic equations is achieved by feedback inputs tuning a finite number of actuators, where it is assumed that the input is subject to a time d…
Risk averse deterministic Kalman filters for uncertain dynamical systems
Karl Kunisch, Jesper Schröder
Taking a deterministic viewpoint this work investigates extensions of the Kalman-Bucy filter for state reconstruction to systems containing parametric uncertainty in the state oper…
Approximation of risk-averse optimal feedback control
Philipp A. Guth, Karl Kunisch
The challenge of constructing feedback control laws for risk-averse optimal control of partial differential equations (PDEs) with random coefficients is addressed. The control obje…
On feedback stabilisation for the Cahn-Hilliard equation and its numerical approximation
Herbert Egger, Marvin Fritz, Karl Kunisch +1
We consider the stabilisation of solutions to the Cahn-Hilliard equation towards a given trajectory by means of a finite-dimensional static output feedback mechanism. Exponential s…
Low-regret shape optimization in the presence of missing Dirichlet data
Karl Kunisch, John Sebastian H. Simon
A shape optimization problem subject to an elliptic equation in the presence of missing data on the Dirichlet boundary condition is considered. It is formulated by optimizing the d…
Quasi-Monte Carlo integration for feedback control under uncertainty
Philipp A. Guth, Peter Kritzer, Karl Kunisch
A control in feedback form is derived for linear quadratic, time-invariant optimal control problems subject to parabolic partial differential equations with coefficients depending…