Skip to Content

Sponsors

No results

Tags

No results

Types

No results

Search Results

Events

No results
Search events using: keywords, sponsors, locations or event type
When / Where
All occurrences of this event have passed.
This listing is displayed for historical purposes.

Presented By: The Center for the Study of Complex Systems

Beyond numerical integration: studying nonlinear dynamics with polynomial optimization

Giovanni Fantuzzi, Department of Aeronautics, Imperial College London

Fantuzzi photo Fantuzzi photo
Fantuzzi photo
Systems characterized by complex nonlinear dynamics lie at the heart of 21st century technology. Examples are turbulent flows in the transport and aviation industries, smart energy networks, and models of cell dynamics used in synthetic biology. Quantitative analysis of such systems using direct numerical simulations sometimes requires prohibitively large computational resources even when one is interested only in some average properties, such as mean power consumption, because all time and length scales across which the system evolves must be resolved. In addition, while numerical simulations offer detailed information starting from a specific initial state, they cannot provide safety-critical performance or stability guarantees that hold for all possible initial states. In this talk, I will describe an alternative approach to studying nonlinear systems with polynomial dynamics, which combines ideas from Lyapunov's stability theory with recent numerical tools for polynomial optimization. In particular, I will present a range of examples that demonstrate how this optimization-based method enables the efficient algorithmic construction of stability certificates and the computation of rigorous bounds on performance-related system properties. Other applications, including optimal control and disturbance amplification analysis, will be discussed along with open problems and future research directions.
Fantuzzi photo Fantuzzi photo
Fantuzzi photo

Co-Sponsored By

Report Event As Inappropriate Contact Event Organizers
Back to Main Content