Eigenvalues of the solution of the Lyapunov tensor equation

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-46

L. Liang

引用次数: 0

Abstract

. The paper is concerned with H ( Z ) -eigenvalues of the solution of the Lyapunov ten- sor equation. According to the Lyapunov algebraic theorem on tensors, bounds for H ( Z ) eigenvalues of the solution are given ﬁ rstly, then based on the relationship between the Lya- punov tensor equation and the continuous-time linear uncertain system, conditional inequalities for the asymptotic stability of the system are shown by H ( Z ) -eigenvalues of the solution of the Lyapunov tensor equation.

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李雅普诺夫张量方程解的特征值

。本文研究了李雅普诺夫十元方程解的H (Z) -特征值。根据张量上的Lyapunov代数定理，首先给出了解的H (Z)特征值的界，然后根据Lyapunov张量方程与连续时间线性不确定系统的关系，用Lyapunov张量方程解的H (Z)特征值给出了系统渐近稳定的条件不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.