田俊康,钟守铭,熊良林.中立型Lurie控制系统的时滞相关鲁棒绝对稳定性判据[J].数学研究及应用,2008,28(3):713~719 |
中立型Lurie控制系统的时滞相关鲁棒绝对稳定性判据 |
Delay-Dependent Robust Stability Criteria for Neutral Lurie Control Systems |
投稿时间:2006-05-07 修订日期:2007-03-23 |
DOI:10.3770/j.issn:1000-341X.2008.03.036 |
中文关键词: Lurie控制系统 绝对稳定性 线性矩阵不等式 时滞相关. |
英文关键词:Lurie control systems absolute stability linear matrix inequalities delay-dependent. |
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中文摘要: |
本文讨论了具有时滞控制的中立型Lurie控制系统的与时滞相关鲁棒绝对稳定性问题.其方法是Lyapunov泛函方法,在处理V函数的导数时,没有进行放大估计,而通过引入一些恰当的0项,构造多个LMI,从而获得基于多个LMI的时滞相关稳定的充分条件和鲁棒绝对稳定的充分条件.最后用数值例子说明其所得结论的有效性. |
英文摘要: |
This paper deals with delay-dependent robust stability of neutral Lurie control systems with multiple nonlinearities and time-varying structured uncertainties. The Lyapunov functional method is used. By adding some appropriate zero terms to the deviation of $V$ and constructing some linear matrix inequalities, some sufficient conditions for the delay-dependent absolute stability and robust stability are derived. Finally, a numerical example is presented to illustrate the effectiveness of the method. |
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