The global exponential stability of a class of infinite stochastic nonlinear interconnected large-scale systems is
analyzed based on box theory by constructing a vector Lyapunov function. A criterion is obtained for global exponential
stability of the systems by analyzing the stability of stochastic differential inequalities. A large-scale system is global
exponential stable if the condition is satisfied, where the condition is constructed by employing the coefficient matrices
of the system and the solutions of the Lyapunov equations which are interconnected with the system. The calculation is
simple, so the criterion is easy for application.