李雅普诺夫张量方程解的特征值

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.7153/jmi-2022-16-46

L. Liang

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引用次数: 0

摘要

。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。

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Eigenvalues of the solution of the Lyapunov tensor equation

. 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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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