Stability of stochastic systems in the diffusion-approximation scheme
By using a solution of a singular perturbation problem, we obtain sufficient conditions for the stability of a dynamical system with rapid Markov switchings under the condition of exponential stability of the averaged diffusion process.
English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 1, pp 40-54.
Citation Example: Korolyuk V. S. Stability of stochastic systems in the diffusion-approximation scheme // Ukr. Mat. Zh. - 1998. - 50, № 1. - pp. 36–47.