Numerical Methods in Systems and Control Theory
We investigate dynamical systems with inputs and outputs. Such systems are used to model all kinds of dynamical processes that are acted upon through controls and that are observed through measurements. A typical task is the design of feedback control, i.e. to use the measurements to define the inputs such that the system is forced into a desired state. Apart from
that, a feedback control needs to be fast and robust, meaning, the translation of the current measurement into the control action needs to be fast and reliable. To meet all these requirements, we call on and advance state-of-the-art methods from mathematical system theory, control theory, model order reduction, numerical linear algebra, and scientific computing.