Continuous methods for the control of large networks – COCOON

Classical methods of automatic control are insufficient to deal with dynamics on large networks because they scale poorly with size. This project aims at overcoming this issue by studying scalable continuous methods. In such methods, the (discrete) network and the dynamics therein (an ODE system) are replaced by a dynamics over a continuous space, such as a PDE or an integral equation defined by a graphon. Among the multiple potential applications of these tools, which include epidemics and transportation networks, this project will focus on problems of mode detection in multi-modal mobility.