Presenting at Turkish Automatic Control Conference 2025

Today I had the opportunity to present our conference paper "Stability Certificates for Dynamical Systems on the Torus" at the annual Turkish Automatic-Control Conference.

In this work, together with Swapnil Tripathi, Alkım Gökçen, Mahmut Kudeyt, Savaş Şahin, and Özkan Karabacak, we developed semidefinite programming–based certificates for synchronization in generalized Kuramoto models. By using trigonometric polynomial expansions and Gram matrix representations, we introduced a framework that eliminates the need for stereographic projection and enables solvable, scalable stability analysis directly on the torus.

Excited to see this methodology contribute to the broader understanding of the Dual Lyapunov method.