Stability in Impulsive Systems with Markov Perturbations in Averaging Scheme. I. Averaging Principle for Impulsive Markov Systems

Cybernetics and Systems Analysis 2010
Jevgeņijs Carkovs, Volodimir Yasinsky, Igor Malyk

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.

Keywords
stochastic system, impulsive Markov system, small parameter, normalized solution.
DOI
10.1007/s10559-010-9279-x
Hyperlink
http://link.springer.com/article/10.1007%2Fs10559-010-9279-x?LI=true

Carkovs, J., Yasinsky, V., Malyk, I. Stability in Impulsive Systems with Markov Perturbations in Averaging Scheme. I. Averaging Principle for Impulsive Markov Systems. Cybernetics and Systems Analysis, 2010, Vol.46, No.6, pp.975-985. ISSN 1060-0396. e-ISSN 1573-8337. Available from: doi:10.1007/s10559-010-9279-x

Publication language
English (en)