Stability of Motion "In the Large" of Some Class of Phase Systems

Maksat Kalimoldayev, L. S. Kopbosyn, Assel A. Abdildayeva, T.Duzbayev, Maxat Akhmetzhanov

2015

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DOI 10.17265/2159-5291/2015.03.004

Data confidence 70 medium

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Abstract

This article focuses on the study of stability of motion of the phase systems described by differential equations whose right-hand sides are periodic in the angular coordinate.The article deals with the mathematical model which has been investigated for stability "in the large" using the second Lyapunov method.Based on the theoretical results obtained in the work,the computational experiments on concrete examples of electric power systems, which showedthe sufficient efficacy of the proposed method for the studied phase system, were conducted.