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Stability of stochastic systems in the diffusion-approximation scheme
Authors:V S Korolyuk
Institution:(1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev
Abstract: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. Published in Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 1, pp. 36–47, January, 1998.
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