3.8 Article

STABILITY IN IMPULSIVE SYSTEMS WITH MARKOV PERTURBATIONS IN AVERAGING SCHEME. 2. AVERAGING PRINCIPLE FOR IMPULSIVE MARKOV SYSTEMS AND STABILITY ANALYSIS BASED ON AVERAGED EQUATIONS

Journal

CYBERNETICS AND SYSTEMS ANALYSIS
Volume 47, Issue 1, Pages 44-54

Publisher

SPRINGER
DOI: 10.1007/s10559-011-9288-4

Keywords

stochastic dynamic system; impulsive system; weak asymptotic stability; infinitesimal operator; generating operator

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The Bogoliubov-Mitropolsky small parameter method is used to study the behavior of stochastic differential systems in the analysis of the corresponding properties of solutions of averaged systems.

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