Synchronisation of stochastic-coupled intermittent control systems with delays and Lévy noise on networks without strong connectedness

This study considers the synchronisation of stochastic-coupled systems with time-varying delays and Lévy noise on networks without strong connectedness (SCSTLNC) through periodically intermittent control. Also, here, internal delays, coupling delay, white noise, and Lévy noise are considered in SCSTLNC. Then, to guarantee synchronisation of SCSTLNC, several useful criteria are obtained by applying some techniques of inequalities, such as a graph-theoretic approach, a hierarchical approach, and the theory of asymptotically autonomous systems. The intensity of control is closely related to the coupling strength and the perturbed intensity of noise. In particular, the synchronisation of stochastic-coupled oscillators with time-varying delays and Lévy noise on networks without strong connectedness as a practical application of the authors' theoretical results are investigated. Finally, a numerical example of oscillator networks is provided to demonstrate the validity and feasibility of their analytical results.