Averaging, Merger, and Stability of Linear Dynamic Systems with Small Markov Jumps
Journal of Applied Mathematics
2010
Jevgeņijs Carkovs,
Oksana Pavļenko
In this paper it is shown that the asymptotical methods may be succesfully
used for exponential mean square stability analysis of the linear dynamical system in R^n of impulse type which dynamical characteristics are dependent on the step Markov process {y(t)}.
Keywords
Impulse dynamical systems; Markov perturbations; Lyapunov stability
Carkovs, J., Pavļenko, O. Averaging, Merger, and Stability of Linear Dynamic Systems with Small Markov Jumps. Journal of Applied Mathematics, 2010, Vol. 3, No. 2, pp.36-43. ISSN 1337-6365.
Publication language
English (en)