Abstract:

Optimal control of large-scale systems, e.g., arising from (spatial) semi-discretizations of partial differential equations describing real-world phenomena, constitutes a challenging task. This is all the more the case if so-called feedback controls, often requiring the solution of nonlinear operator equations, are of interest.

This talk provides an introduction into a class of (sub-)optimal linear and nonlinear feedback methodologies based on, e.g., Riccati and Hamilton-Jacobi-Bellman equations. With regard to an efficient computation of these strategies, approximation techniques based on low rank and model reduction approaches are discussed. Numerical results for some classical control systems arising in fluid dynamics, cardiac electrophysiology and statistical mechanics will be presented.

The event will be held online and can be accessed through the link on the right. For the password, please contact tina.schwabe[at]tu-berlin.de.