Stability of stochastic dynamic systems of a random structure with Markov switching in the presence of concentration points

Stability of stochastic dynamic systems of a random structure with Markov switching in the presence of concentration points

This article aims to investigate sufficient conditions for the stability of the trivial solution of stochastic differential equations with a random structure, particularly in contexts involving the presence of concentration points. The proof of asymptotic stability leverages the use of Lyapunov func...

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Bibliographic Details
Main Authors: Taras Lukashiv, Igor V. Malyk, Maryna Chepeleva, Petr V. Nazarov
Format: Article
Language:English
Published: AIMS Press 2023-08-01
Series:AIMS Mathematics
Subjects:
system of random structure
markov switching
concentration point
lyapunov function
asymptotic stability
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231245?viewType=HTML

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