Stabilization of stochastic highly non-linear multi-links systems via aperiodically intermittent control

This paper is concerned with the exponential stabilization of stochastic highly non-linear multi-links systems (SHNMSs) by utilizing aperiodically intermittent control (AIC). Wherein the linear growth condition is removed, which weakens previous stability conditions. The factor of multi-links is first introduced into highly non-linear systems, which makes our model more in line with the practical situations. However, when considering highly non-linear systems, the existing results are not suitable for AIC. Therefore, in order to solve this difficulty, a new Halanay-type differential inequality is established in this paper, which not only extends the classic Halanay inequality, but also expands the application scopes of AIC. In addition, utilizing the Lyapunov method and the graph theory, it can be proved that under suitable conditions, SHNMSs exponentially reach stabilization. Furthermore, the theoretical results are applied to modified stochastic multi-links coupled Fitzhugh–Nagumo models. Finally, the availability of the proposed results is demonstrated by two numerical examples.