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区间时变时滞系统的时滞相关稳定性分析

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Indexed by:期刊论文

Date of Publication:2014-12-25

Journal:电光与控制

Included Journals:PKU、ISTIC

Volume:22

Issue:1

Page Number:45-47,58

ISSN No.:1671-637X

Key Words:时滞系统;稳定性;区间时变时滞;时滞相关

Abstract:研究了具有区间时变时滞线性不确定系统的稳定性问题。通过引入新型的Lyapunov 泛函,结合改进型的Jensen积分不等式,推导出区间时变时滞线性系统的时滞相关鲁棒稳定新判据。该方法在推导过程中没有用到模型变换及自由权矩阵方法,简化了计算上的复杂性。由于判据中充分利用了时变时滞的中值及时滞变化范围两个参数,减少了结果的保守性。数值算例表明了提出方法的有效性及优越性。

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