Colloquium Mathematics J. Eising, MSc (University of Groningen)

Title: Convex processes in control.

Abstract: Difference inclusions defined by convex processes are interesting due to their application in modeling linear systems with conic (e.g. nonnegativity) constraints. This talk will require no prior knowledge, and will deal with classical system-theoretic problems for such systems. To be precise, we will consider notions such as duality, invariance and eigenvalues in order to resolve the reachability, controllability and stabilizability problems. Furthermore, we will present a few extensions of this work regarding data-driven control of constrained systems.