Synchronization of stochastic coupled systems on networks with time-varying coupling structure
Anran Liu, Haoming Han, Yan Liu · 2023
This paper investigates the synchronization of stochastic coupled systems on networks with time-varying coupling structure (SCSNTC). Firstly, a stochastic coupled system we consider can be described by a network which coupling structure is time-varying. Then, by combining Lyapunov method with basic graph theory and using feedback control, a Lyapunov-type theorem as well as a coefficients-type criterion are respectively given to make sure drive and response systems to reach p- th moment exponential synchronization. As an application, the synchronization of stochastic Kuramoto oscillators with time-varying coupling structure is analyzed based on the obtained theoretical results in mechanical systems. Eventually, a numerical example is established to demonstrate the validity of our results.