On the Choice of Methods for Stabilizing Systems Containing a Linear Delay

被引：0

作者：

Grebenshchikov, B. G. ^{[1
]}

Lozhnikov, A. B. ^{[2
,3
]}

机构：

[1] South Ural State Univ, Chelyabinck 454080, Russia

[2] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, Ekaterinburg 620108, Russia

[3] Ural Fed Univ, Ekaterinburg 620002, Russia

来源：

RUSSIAN MATHEMATICS | 2023年 / 67卷 / 01期

关键词：

delay; controllable system; stability; stabilization; INPUT;

D O I：

10.3103/S1066369X23010036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the stabilization problem for systems of linear differential equations containing delay that is linearly dependent on the argument (time). Stabilization methods for certain systems with constant coefficients in the right-hand side are proposed. Due to the fact that the delay increases indefinitely in time, the stabilization is considered over an infinite time interval. The numerical examples illustrating the effectiveness of the stabilization methods are presented.

引用

页码：30 / 42

页数：13

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