Stabilization of stochastic time-varying coupled systems with delays and Lévy noise on networks based on aperiodically intermittent control

Abstract

Abstract The aim of this paper is to research the stabilization of stochastic time-varying coupled systems with delays and Levy noise on networks (STSDLN) via aperiodically intermittent control. It is worth pointing out that the time-varying coupling is considered into Levy noise systems in the first time. Then, by means of a graph-theoretic approach, Lyapunov method and some techniques of inequalities, some stabilization criteria are obtained to guarantee exponentially stability in mean square for STSDLN. Therein, we weaken the sufficient condition for dealing with the time-varying coupling compared to the existing literature, which can reduce the conservation of the conclusions. Additionally, the intensity of control is closely related to the perturbed intensity of noise and the time-varying coupling strength. In particular, as a practical application of our theoretical results, the stabilization of stochastic time-varying coupled oscillators with delays and Levy noise on networks is studied. Finally, a numerical example is provided to illustrate the validity of the results obtained.