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区间时变时滞系统的时滞相关稳定性分析 被引量：8

Research on Delay- Dependent Stability for Systems with Interval Time-Varying Delay
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摘要 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。 This paper is concerned with the stability of systems with interval time-varying delay. By constructing an appropriate type of Lyapunov functional and employing a new and tighter integral inequalityJense,the improved delay-dependent stability criteria are derived. Because neither any model transformation nor free weighting matrices are employed in the theoretical derivation,the developed stability criteria reduce the complexity of the computation. By taking full advantage of the median estimate and varying range of the delay,the conservative is also reduced. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.
作者 张涛 邵诚 崔艳秋
机构地区 大连理工大学先进控制技术研究所 大连民族学院机电信息工程学院 大连民族学院信息与通信工程学院
出处 《电光与控制》 北大核心 2015年第1期45-47,58,共4页 Electronics Optics & Control
基金 国家自然科学基金(61074020) 中央高校自主科研基金(DC120101022)
关键词 时滞系统 稳定性 区间时变时滞 时滞相关 system with time delay stability interval time-varying delay delay-dependent
分类号 V271.4 [航空宇航科学与技术—飞行器设计] TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献12

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二级参考文献27

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共引文献11

同被引文献57

  • 1董海荣,耿志勇,黄琳.一类混合不确定时滞系统的鲁棒控制问题[J].北京大学学报（自然科学版）,2004,40(5):760-765. 被引量：1
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引证文献8

二级引证文献7

电光与控制
2015年 第1期

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