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Stability of solution of the Ito-Skorokhod stochastic dynamic system of random structure with external random disturbances, Markov switching and all prehistory

В. К. Ясинський, С. В. Антонюк

Науковий вісник Ужгородського університету. Серія: Математика і інформатика · 2020

doi:10.24144/2616-7700.2020.1(36).55-64 (opens in a new tab)

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Abstract

The Ito-Skorokhod stochastic dynamical system with external random disturbances, with Markov switching and all prehistory is considered in this paper. Basic definitions of stability of a strong solution for such systems are introduced and sufficient conditions for asymptotic stability in probability in general and the asymptotic mean square stability in general are received.

Abstract licence: CC BY

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