Inner synchronisation of stochastic impulsive multi-links coupled systems via discrete-time state observations control

In this paper, the inner synchronisation of stochastic impulsive coupled systems with multi-links (SISM) is investigated. The feedback control based on discrete-time state observations, impulsive effects and multiple links are added to stochastic coupled systems simultaneously for the first time. Instead of the mean-square exponential synchronisation, the pth (p≥2) moment exponential synchronisation is studied. A main theorem is proposed by average impulsive interval approach, graph theory and Lyapunov method to ensure the pth moment exponential synchronisation of SISM. Additionally, we apply the theoretical results to stochastic impulsive Rössler-like circuits with multi-links, which is the first attempt. Finally, a numerical example is provided to illustrate the effectiveness of the developed results.