New negative-determination conditions for cubic polynomials with applications to time-varying delay systems

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-10-10 DOI:10.1016/j.aml.2024.109336

Seakweng Vong , Han Xue , Yuanyuan Zhang , Zhongsheng Yao

引用次数: 0

Abstract

This paper studies the stability of time delay systems. The Lyapunov-Krasovskii functional (LKF) method is used for our study, in which a novel negative-determination criterion for cubic polynomials is proposed. An improved stability criterion of time delay system is obtained by the new method. The effectiveness of the proposed method is verified by some numerical examples and reduced conservativeness can be obtained.

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立方多项式的新负确定条件及其在时变延迟系统中的应用

本文研究时延系统的稳定性。研究采用了 Lyapunov-Krasovskii 函数（LKF）方法，其中提出了一种新的立方多项式负判定准则。通过新方法得到了改进的时延系统稳定性准则。通过一些数值实例验证了所提方法的有效性，并可降低保守性。

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

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.