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Presenting at Turkish Automatic Control Conference 2025

2025.09.293 min READ
ResearchControl TheoryConference

Today I had the opportunity to present our conference paper on stability certificates for dynamical systems on the torus.

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.

Cengizhan presenting at the Turkish Automatic Control Conference 2025

Presenting at TOK 2025

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.

Conference paper - Stability Certificates for Dynamical Systems on the Torus

Our conference paper

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

Conference venue and presentation setup at TOK 2025

At the conference venue