Abstract

In complex system analysis, understanding stability and long-term behaviour is vital. Traditional methods involve using mathematical tools like Lyapunov functions, but these are limited to specific cases. What if the system’s equations aren’t known or are highly complex?

In this talk, Dr Giovanni Fantuzzi will discuss a breakthrough approach. By combining polynomial optimisation with dynamic mode decomposition, we can uncover what are called “auxiliary functions” directly from data. This means we can analyse complex systems without the need for predefined models. The novel approach will aid in understanding stability, long-term behaviour and chaotic dynamics in complex systems.

(The above abstract has been adapted by Ayesha Khan, Communications and Events Manager. For the full technical abstract, please see Cassyni.)

About the Aerodynamics & Control Seminar Series

The Aerodynamics & Control Seminars, hosted by the Department of Aeronautics, are a series of talks by internationally renowned academics covering a broad range of topics in fluid mechanics, control, and the intersection of these two areas.