矩阵测度及其在矩阵和区间动力系统稳定性中的应用

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2003-01-01 DOI:10.1155/S0161171203202295

Z. Zahreddine

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引用次数: 39

摘要

利用矩阵测度的一些性质，得到了矩阵凸包稳定性的一般条件，该条件将应用于区间动力系统稳定性的研究。再现和推广了稳定性理论的一些经典结果。我们给出了矩阵测度与特征值实部之间的关系，从而可以得到稳定性判据。

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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MATRIX MEASURE AND APPLICATION TO STABILITY OF MATRICES AND INTERVAL DYNAMICAL SYSTEMS

Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended. We present a relationship between the matrix measure and the real parts of the eigenvalues that make it possible to obtain stability criteria.

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.