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一类非线性时变时滞系统的稳定性分析与吸引域估计

杨仁明 王玉振

杨仁明, 王玉振. 一类非线性时变时滞系统的稳定性分析与吸引域估计. 自动化学报, 2012, 38(5): 716-724. doi: 10.3724/SP.J.1004.2012.00716
引用本文: 杨仁明, 王玉振. 一类非线性时变时滞系统的稳定性分析与吸引域估计. 自动化学报, 2012, 38(5): 716-724. doi: 10.3724/SP.J.1004.2012.00716
YANG Ren-Ming, WANG Yu-Zhen. Stability Analysis and Estimate of Domain of Attraction for a Class of Nonlinear Time-varying Delay Systems. ACTA AUTOMATICA SINICA, 2012, 38(5): 716-724. doi: 10.3724/SP.J.1004.2012.00716
Citation: YANG Ren-Ming, WANG Yu-Zhen. Stability Analysis and Estimate of Domain of Attraction for a Class of Nonlinear Time-varying Delay Systems. ACTA AUTOMATICA SINICA, 2012, 38(5): 716-724. doi: 10.3724/SP.J.1004.2012.00716

一类非线性时变时滞系统的稳定性分析与吸引域估计

doi: 10.3724/SP.J.1004.2012.00716
详细信息
    通讯作者:

    杨仁明, 山东大学控制学院博士研究生.2006 年获得山东师范大学硕士学位.主要研究方向为非线性、非线性时滞系统的稳定性和控制设计.

Stability Analysis and Estimate of Domain of Attraction for a Class of Nonlinear Time-varying Delay Systems

  • 摘要: 针对一类非线性时变时滞系统,研究其稳定性和吸引域的估计问题. 首先,通过坐标变换和正交分解法,将这类系统转化为一个等价形式. 其次,基于正交条件和引入自由权矩阵, 给出了这类系统具有较小保守性的稳定性和吸引域估计结果. 最后,仿真例子验证了所提出方法的有效性.
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  • 收稿日期:  2011-07-28
  • 修回日期:  2011-12-02
  • 刊出日期:  2012-05-20

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