线性时滞系统的时滞相关稳定性分析

郑敏;费敏锐;费树岷

系统科学与数学 ›› 2009, Vol. 29 ›› Issue (4) : 562-566.

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系统科学与数学 ›› 2009, Vol. 29 ›› Issue (4) : 562-566. DOI: 10.12341/jssms08394
论文

线性时滞系统的时滞相关稳定性分析

    郑敏(1), 费敏锐(1), 费树岷(2)
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Delay-Dependent Stability Analysis for Linear Time Delay System

    ZHENG Min(1), FEI Minrui(1), FEI Shumin(2)
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摘要

对于存在状态时滞的线性时滞系统,分为固定时滞及时变时滞两种情形,基于Lyapunov-Krasovskii理论分析稳定性,通过时滞划分,得到以LMI形式给出的一种保守性小的渐近稳定性条件,且能够处理任意变化的变时滞问题.实例表明只需粗略划分就能大大提高保守性能,为了兼顾计算负担,r取较小数值即可.并且LMI中的决策变量少,形式简洁.

Abstract

This paper is concerned with the stability of linear time delay systems. Both constant delay and time-varying delay cases are considered. The criteria of stability is derived by using the Lyapunov-Krasovskii theory and is formulated as feasibility problems of Linear Matrix Equalities. Numerical examples show that the performance will be improved notably even by coarse fractioning.

关键词

固定时滞及时变时滞 / 时滞系统 / 线性矩阵不等式 / 时滞依赖条件.

Key words

Constant delay and time-varying delay / time delay systems / LMI / delay-dependent conditions.

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郑敏 , 费敏锐 , 费树岷. 线性时滞系统的时滞相关稳定性分析. 系统科学与数学, 2009, 29(4): 562-566. https://doi.org/10.12341/jssms08394
ZHENG Min , FEI Minrui , FEI Shumin. Delay-Dependent Stability Analysis for Linear Time Delay System. Journal of Systems Science and Mathematical Sciences, 2009, 29(4): 562-566 https://doi.org/10.12341/jssms08394
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