Synchronisation of complex-valued stochastic multi-links coupled systems with Markovian jumping via discrete-time state observations control

This paper explores the outer synchronisation of complex-valued stochastic multi-links coupled systems with Markovian jumping (CSMCSM) by discrete-time state observations control. In CSMCSM, complex-valued, multi-links, and Markovian jumping features are considered. The feedback control based on discrete-time state observations is applied to study complex-valued stochastic coupled systems. We derive the αth (α≥2) moment exponential synchronisation of CSMCSM by utilising graph theory and the Lyapunov method. Then, the derived theoretical results are utilised for stochastic complex-valued coupled oscillators with Markovian jumping as well as multi-links. Lastly, the effectiveness of theoretical results is demonstrated by a numerical simulation example.