Synchronization of stochastic coupled systems with time-varying coupling structure on networks via discrete-time state feedback control

This paper is concerned with the exponential synchronization of stochastic coupled systems on networks. Time-varying coupling structure of coupled systems and discrete-time state feedback control are focuses and difficulties of our research. Based on the Lyapunov method and Kirchhoff's Matrix Tree Theorem, two sufficient criteria are obtained, which guarantee the exponential synchronization of stochastic coupled systems with time-varying coupling structure on networks via discrete-time state feedback control. Finally, we apply theoretical results to stochastic coupled oscillators and propose two numerical examples to illustrate the effectiveness and feasibility of the obtained theoretical results.