Stability in impulsive systems with Markov perturbations in averaging scheme. 2. Averaging principle for impulsive Markov systems and stability analysis based on averaged equations

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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Bibliographic Details
Published in:Cybernetics and systems analysis 2011, Vol.47 (1), p.44-54
Main Authors: Tsarkov, Ye. F., Yasinsky, V. K., Malyk, I. V.
Format: Article
Language:English
Subjects:
Analysis
Artificial Intelligence
Asymptotic methods
Control
Control systems
Dynamical systems
Markov analysis
Markov processes
Mathematics
Mathematics and Statistics
Processor Architectures
Random variables
Software Engineering/Programming and Operating Systems
Stochastic control theory
Systems Theory
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Description
Summary: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.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-011-9288-4