Stability criteria for systems of two first-order linear ordinary differential equations

被引：0

作者：

Grigoryan, Gevorg A. ^{[1
]}

机构：

[1] Inst Math NAS Armenia, M Ragramian 24-5, Yerevan, Armenia

来源：

MATHEMATICA SLOVACA | 2022年 / 72卷 / 04期

关键词：

Riccati equation; regularity; normal and extremal solutions; Lyapunov stability; asymptotic stability; the logarithmic norms;

D O I：

10.1515/ms-2022-0064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Riccati equation method is used to establish stability criteria for systems of two first-order linear ordinary differential equations. Examples are presented in which the obtained result is compared with the results obtained by the Lyapunov and Bogdanov methods, by a method involving estimates of solutions in the Lozinskii logarithmic norms and by the freezing method.

引用

页码：935 / 944

页数：10

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