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带有时滞和非线性不确定性的中立系统的鲁棒稳定性条件 被引量：3

Robust stability criteria for neutral system with time delay and nonlinear uncertainty
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摘要 研究一类带有时滞和非线性不确定性的不确定中立系统的鲁棒稳定性问题.通过选择适当的Lyapunov函数,使用Leibniz-Newton公式的变形,结合自由权矩阵思想,加入一些自由矩阵,并且利用线性矩阵不等式(LMI)技术,得到了新的带有时滞和非线性不确定性的中立系统的时滞依赖稳定性条件.最后,通过数值算例来验证此方法的可行性以及有效性. The problem of robust stability for a class of uncertain neutral system with time-varying delay and non-linear uncertainties is studied. By choosing appropriate Lyapunov function, and using the transform of Leibniz-Newton formulas as well as the free matrics, a new delay-dependent stability criteria is presented by linear matrix in equalities（LMIs） which can be easily solved by LMI Tool box-in Matlab. A numerical example is given to il-lustrate the effectiveness of the developed techniques.
作者 刘剑敏 吴保卫 李永钊
机构地区 陕西师范大学数学与信息科学院
出处 《纺织高校基础科学学报》 CAS 2009年第4期482-487,共6页 Basic Sciences Journal of Textile Universities
基金 国家自然科学基金资助项目(10571114) 陕西省自然科学基础研究计划项目(SJ08A20)
关键词 中立系统 渐近稳定性 非线性不确定性 时变时滞 线性矩阵不等式(LMI) uncertain neutral system asympototically nonlinear uncertainty time-varying delay linear matrix inequality （LMI）
分类号 O231 [理学—运筹学与控制论]
  • 相关文献

参考文献15

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二级参考文献24

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共引文献21

同被引文献35

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引证文献3

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纺织高校基础科学学报
2009年 第4期

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