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区间时变时滞系统的时滞相关稳定性分析

Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2014-12-25

Journal: 电光与控制

Included Journals: ISTIC、PKU

Volume: 22

Issue: 1

Page Number: 45-47,58

ISSN: 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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