My current work is focused on designing feedback controllers for networks and analyzing the stability of their transport systems. This can be modelled by considering an arbitrary directed graph with distributions along the edges with certain velocities. Using systems of transport equations to illustrate the flow, we can build semigroups and examine the spectrum for different set-ups of boundary conditions. Previously, I have worked on repairable systems and boundary control problems.
Below I have listed my previous and current works. Reach out if you would like to discuss any of them further!
I have also presented my work at the following conferences and seminars.