Delay-dependent stability conditions through the fundamental matrix of solutions for linear delay differential systems

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-08-31 DOI:10.1016/j.cam.2025.117041

Guang-Da Hu

引用次数: 0

Abstract

We investigate stability of linear delay differential systems. Stability criteria of the systems are derived based on integrals of the fundamental matrix. They are necessary and sufficient conditions for delay-dependent stability of the systems. Numerical examples illustrate the main results.

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线性时滞微分系统解的基本矩阵的时滞相关稳定性条件

研究了线性时滞微分系统的稳定性。基于基本矩阵的积分，导出了系统的稳定性判据。它们是系统具有时滞相关稳定性的充分必要条件。数值算例说明了主要结果。

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 Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.