Almost sure exponential stabilization of hybrid stochastic coupled systems via intermittent noises: A higher-order nonlinear growth condition

Abstract

In this paper, the almost sure exponential stabilization problem of hybrid coupled systems with two independent noises is investigated, wherein one of the noises exists periodically intermittently. Different from existing literature on coupled systems, the functions in the system we addressed are nonlinear without the linear growth condition. By employing graph theory and Lyapunov method, almost sure exponential stabilization criterion of hybrid coupled systems with two independent noises is derived. The criterion is closely associated with the noise strength, the number of vertex systems, the coupling strength, the existence interval and period of intermittent noises. Meanwhile, the theoretical results are applied to a higher-order nonlinear stochastic coupled electronic oscillators system, and the corresponding numerical example is presented.