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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…
Convergence of machine learning methods for feedback control laws: averaged feedback learning scheme and data driven methods
Karl Kunisch, Donato Vásquez-Varas
This work addresses the synthesis of optimal feedback control laws via machine learning. In particular, the Averaged Feedback Learning Scheme (AFLS) and a data driven method are co…
Stabilizability of parabolic equations by switching controls based on point actuators
Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
It is shown that a switching control involving a finite number of Dirac delta actuators is able to steer the state of a general class of nonautonomous parabolic equations to zero a…
Second order analysis for the optimal selection of time delays
Karl Kunisch, Fredi Troeltzsch
For a nonlinear ordinary differential equation with time delay, the differentiation of the solution with respect to the delay is investigated. Special emphasis is laid on the secon…
Tracking optimal feedback control under uncertain parameters
Philipp A. Guth, Karl Kunisch, Sergio S. Rodrigues
Optimal control problems of tracking type for a class of linear systems with uncertain parameters in the dynamics are investigated. An affine tracking feedback control input is obt…