Stability Analysis of a More General Class of Systems With Delay-Dependent Coefficients

Jin Chi; Gu Keqin; Boussaada Islam; Niculescu Silviu-Iulian

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Stability Analysis of a More General Class of Systems With Delay-Dependent Coefficients

机译：一类具有时滞相关系数的一般系统的稳定性分析

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This paper presents a systematic method to analyze the stability of systems with single delay in which the coefficient polynomials of the characteristic equation depend on the delay. Such systems often arise in, for example, life science and engineering systems. A method to analyze such systems was presented by Beretta and Kuang in a 2002 paper, but with some very restrictive assumptions. This paper extends their results to the general case withthe exception of some degenerate cases. It is found that a much richer behavior is possible when the restrictive assumptions are removed. The interval of interest for the delay is partitioned into subintervals so that the magnitude condition generates a fixed number of frequencies as functions of the delay within each subinterval. The crossing conditions are expressed in a general form, and a simplified derivation for the first-order derivative criterion is obtained. Illustrative examples are also presented in this paper.

机译：本文提出了一种系统分析单时滞系统稳定性的方法，其中特征方程的系数多项式取决于时滞。这样的系统通常出现在例如生命科学和工程系统中。 Beretta和Kuang在2002年的论文中提出了一种分析此类系统的方法，但有一些非常严格的假设。本文将其结果扩展到一般情况，除了一些退化的情况。人们发现，如果取消限制性假设，可能会出现更丰富的行为。延迟的关注间隔被划分为多个子间隔，以便幅度条件根据每个子间隔内的延迟生成固定数量的频率。交叉条件以一般形式表示，并且获得了一阶导数准则的简化推导。本文还提供了说明性示例。

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来源
《IEEE Transactions on Automatic Control》 |2019年第5期|1989-1998|共10页
作者
Jin Chi; Gu Keqin; Boussaada Islam; Niculescu Silviu-Iulian;
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作者单位

Univ Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France|Univ Paris Sud, CNRS, Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, France;

Southern Illinois Univ Edwardsville, Dept Mech & Ind Engn, Edwardsville, IL 62026 USA;

Univ Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France|Univ Paris Sud, CNRS, Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, France;

Univ Paris Sud, CNRS, Cent Supelec, IPSA, F-91192 Gif Sur Yvette, France|Univ Paris Sud, CNRS, Cent Supelec, Lab Signaux & Syst, F-91192 Gif Sur Yvette, France;

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原文格式 PDF
正文语种 eng
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关键词
Delay systems; stability analysis;

机译：延迟系统;稳定性分析;

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专利

1. Stability Analysis of a More General Class of Systems With Delay-Dependent Coefficients [J] . Jin Chi, Gu Keqin, Boussaada Islam, IEEE Transactions on Automatic Control . 2019,第5期

机译：具有延迟依赖系数的更多一般系统的稳定性分析
2. Stability Switches of a Class of Fractional-Delay Systems With Delay-Dependent Coefficients [J] . Teng Xinghu, Wang Zaihua Journal of Computational and Nonlinear Dynamics . 2018,第11期

机译：具有延迟相关系数的一类分数延迟系统的稳定性交换机
3. Delay-dependent stability analysis for a class of dynamical systems with leakage delay and nonlinear perturbations [J] . Xiaodi Li, Xilin Fu, R. Rakkiyappan Applied mathematics and computation . 2014,第Null期

机译：一类具有泄漏时滞和非线性摄动的动力系统的时滞相关稳定性分析
4. Stability Analysis of Systems with Delay-Dependent Coefficients Subject to Some Particular Delay Structure [C] . C. JIN, K. Gu, S. I. Niculescu, European Control Conference . 2018

机译：延迟依赖系数对某种特定延迟结构进行的系统的稳定性分析
5. Stability and Control of Fractional-Order Systems with Delays and Periodic Coefficients [D] . Dabiri, Arman. 2018

机译：具有时滞和周期系数的分数阶系统的稳定性和控制
6. Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay [O] . Tengyu Ma, Longsuo Li -1

机译：具有时滞的不确定中立随机非线性系统的时滞相关鲁棒稳定性的稳定性判据
7. Stability Analysis of a More General Class of Systems With Delay-Dependent Coefficients [O] . Chi Jin, Keqin Gu, Islam Boussaada, 2019

机译：具有延迟依赖系数的更多一般系统的稳定性分析

Stability Analysis of a More General Class of Systems With Delay-Dependent Coefficients

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