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Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences"
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Vol. 71 No. 3 (2020)

PROBLEMS OF STABILITY OF LINEAR NON-STATIONARY SYSTEMS ON A FINITE TIME INTERVAL

Published September 2020
K.S Dalbekova+− F.R Gusmanova+− S.B Berkimbaeva+− A.K Iskakova+−
University of international business, Almaty
Kazakh National University named after al-Farabi, Almaty
Kazakh National University named after al-Farabi, Almaty
Kazakh National University named after al-Farabi, Almaty
DOI: 10.51889/2020-3.1728-7901.07
Abstract

When studying various processes taking place in real life, we have to deal with one of the most important concepts -
the concept of stability of movement. The foundations of the theory of stability of motion were developed at the end of
the last century by the great Russian scientist A. M. Lyapunov. As is known, Lyapunov stability is considered on an
infinite time interval, which is a serious obstacle for many applications, since most of the objects of research function for
a finite period of time. The concept of stability, introduced for an unlimited period of time, cannot be used to evaluate the
properties of motion within a finite period of time. The study of motion stability by analyzing solutions of the
corresponding equations is permissible and makes sense only if the mathematical model of physical reality is fully
adequate. The purpose of this work is to study the stability and stabilization of the motion of linear non-stationary systems.

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Language

Рус

Keywords
stability of motion linear non-stationary systems finite time interval fundamental matrix differential equations of perturbed motion matrix trace
How to Cite

[1]
Дальбекова, К., Гусманова, Ф., Беркимбаева, С. and Искакова, А. 2020. PROBLEMS OF STABILITY OF LINEAR NON-STATIONARY SYSTEMS ON A FINITE TIME INTERVAL. Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences". 71, 3 (Sep. 2020), 52–58. DOI:https://doi.org/10.51889/2020-3.1728-7901.07.