"Scalable Control of Monotone Systems" Classical control theory does not scale well for large systems like traffic networks, power networks and chemical reaction networks. However, many of these applications can be handled efficiently using the concept of monotone system. Monotonicity means that a given state ordering is preserved by the dynamics. For example, a system is called monotone if all step responses are monotone. Such systems are common in many branches of science and engineering. In this presentation, we will highlight several fundamental advantages of monotone control systems: Verification and performance optimization can be done in with a complexity that scales linearly with the number of states and interconnections. Distributed controllers can be designed by convex optimization. Lyapunov functions and storage functions for nonlinear monotone systems can be built from scalar functions of the states, with dramatic simplifications as a result.

- Professor Anders Rantzer Rantzer, Lund University