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Stability of Motion "In the Large" of Some Class of Phase Systems
M.N.Kalimoldayev, L.S.Kopbosyn, A.A.Abdildayeva, T.Duzbayev, M.Akhmetzhanov
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DOI:10.17265/2159-5291/2015.03.004
Institute of Information and Computational Technologies, Almaty, Kazakhstan
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.
Stability of motion "in the large", Lyapunov function, phase system, electric power system, mathematical model.
[2] P. M. Anderson, A. A. Fouad Power System Control and Stability, Second Edition, 2002. - 672 p., 0-471-23862-7
[3] A.M.Lyapunov The general problem of motion stability. - M .: L .: Gostekhizdat, 1950. - 475 p.
[4] M.J. Wyman The study of the systems sustainable "in the large". - M .: Nauka, 1981 - 255 p.
[5] N.N.KrasovskiiThe theory of motion control. Linear systems. - Moscow: Nauka, 1968. - 475 p.