COMPLETED

DUAL_LYAPUNOV_METHOD (2025)

Advancing the Dual Lyapunov Method for Control Engineering

Control TheoryResearchMATLAB

// OVERVIEW

Research on dual Lyapunov functions for analyzing stability and convergence in control systems with applications to synchronization. This work explores the theoretical foundations and practical implementations of the dual Lyapunov method, demonstrating its effectiveness in analyzing complex dynamical systems and providing certificates for local phase synchronization. Working under Dr. Özkan Karabacak, head of Mechatronics Department at Kadir Has University. Presented as first author at the Turkish Automatic Control Conference 2025 in Samsun.

// FEATURES

▸Publication: Stability Certificates for Dynamical Systems on the Torus
▸First Author & Presenter at Turkish Automatic Control Conference 2025, Samsun
▸Focus: Generalized Kuramoto models and semidefinite programming
▸Application: Four-oscillator system analysis and local phase synchronization