基本特征函数的时滞相关稳定性条件

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2023-01-01 DOI:10.5817/am2023-1-77

H. Matsunaga

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引用次数: 0

摘要

。本文研究了两个特征函数f1 (z) = z2 + pe−zτ + q和f2 (z) = z2 + pze−zτ + q的稳定性，其中p和q为实数，τ >为0。所得到的定理描述了随时滞τ变化的显式稳定性依赖。将所得结果应用于具有对角项的时滞线性微分系统的一些特殊情况，得到了时滞相关的稳定性条件。

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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Delay-dependent stability conditions for fundamental characteristic functions

. This paper is devoted to the investigation on the stability for two characteristic functions f 1 ( z ) = z 2 + pe − zτ + q and f 2 ( z ) = z 2 + pze − zτ + q , where p and q are real numbers and τ > 0. The obtained theorems describe the explicit stability dependence on the changing delay τ . Our results are applied to some special cases of a linear differential system with delay in the diagonal terms and delay-dependent stability conditions are obtained.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.