Email this article An Asymptotic Method for Reducing Systems of Differential Equations with Almost-Periodic Matrices
- Authors: Konyaev Y.A.1, Maslov D.A.1
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Affiliations:
- National Research University Moscow Power Engineering Institute
- Issue: Vol 105, No 1-2 (2019)
- Pages: 8-15
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151494
- DOI: https://doi.org/10.1134/S0001434619010024
- ID: 151494
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Abstract
An asymptotic method for reducing nonautonomous systems of differential equations with matrices represented as sums of matrix functions of different periods to systems with almost-constant matrices is proposed. On the basis of the proposed method, sufficient conditions for the asymptotic stability of solutions of systems of differential equations of this type are derived.
About the authors
Yu. A. Konyaev
National Research University Moscow Power Engineering Institute
Author for correspondence.
Email: KoniayevYA@mpei.ru
Russian Federation, Moscow, 111250
D. A. Maslov
National Research University Moscow Power Engineering Institute
Author for correspondence.
Email: MaslovDmA@mpei.ru
Russian Federation, Moscow, 111250
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