Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations

被引：3

作者：

Lapin, K. S. ^{[1
]}

机构：

[1] Mordovian State Pedag Inst, Saransk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2018年 / 59卷 / 06期

关键词：

Lyapunov function; uniform-ultimate boundedness; equiultimate boundedness; higherorder derivatives; partially controlled initial conditions;

D O I：

10.1134/S0037446618060137

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the higher-order derivatives of Lyapunov functions, we obtain sufficient tests of various types for the uniform-ultimate boundedness in the sense of Poisson of solutions and various types of equiultimate boundedness of solutions in the sense of Poisson.

引用

页码：1100 / 1104

页数：5

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