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：具有延迟依赖系数的更多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方法，用于分析系统的稳定性，其中特征方程的系数多项式取决于延迟。这种系统经常出现在例如生命科学和工程系统中。通过Beretta和Kuang在2002篇论文中提出了一种分析这种系统的方法，但有一些非常严格的假设。除了一些简并病例外，本文将结果扩展到常规情况。发现在拆除限制性假设时，可以实现更丰富的行为。延迟的感兴趣的间隔被划分为子内部，使得幅度条件产生固定数量的频率作为每个子内隔内的延迟的函数。交叉条件以一般形式表示，获得用于一阶衍生标准的简化推导。本文还提出了说明性实例。

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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：一类具有时滞相关系数的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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