广义时变脉冲系统的输入输出时域稳定

苏晓明; 阿迪亚

doi:10.3724/SP.J.1004.2014.02512

广义时变脉冲系统的输入输出时域稳定

doi: 10.3724/SP.J.1004.2014.02512

苏晓明,
阿迪亚^,

1.
沈阳工业大学理学院沈阳 110870

基金项目:

国家自然科学基金(61074005), 辽宁省优秀人才基金(LR2012005)

详细信息

作者简介:
苏晓明沈阳工业大学理学院教授. 主要研究方向为广义时变系统.E-mail: suxm@sut.edu.cn

通讯作者:
阿迪亚, 沈阳工业大学理学院硕士研究生. 主要研究方向为广义时变系统. 本文通信作者. E-mail: syeaady@gmail.com

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出版历程
- 收稿日期: 2013-12-18
- 修回日期: 2014-06-03
- 刊出日期: 2014-11-20

Input-output Finite-time Stability of Linear Time-varying Descriptor Impulse Systems

SU Xiao-Ming,
Adiya^,

1.
School of Science, Shenyang University of Technology, Shenyang 110870

Funds:

Supported by National Nature Science Foundation of China (61074005), the Talent Project of the High Education of Liaoning province (LR2012005)

摘要

摘要: 研究了广义时变脉冲系统的输入输出时域稳定问题.基于矩阵微分不等式(Differential matrix inequalities,DMI),给出了两个上述系统输入输出时域稳定的充分条件分别对应 L2干扰输入和 L∞干扰输入.这样的条件要求矩阵微分不等式解的存在性.接下来根据给出的充分条件设计了控制器,使得闭环系统输入输出时域稳定.本文的结果对于一般情况下的广义时变系统同样适用.最后,给出了两个算例来验证结果的有效性.
- 广义时变系统 /
- 矩阵微分不等式 /
- 输入输出时域稳定 /
- 状态反馈
Abstract: This paper deals with the input-output finite-time stability problem for continuous-time linear time-varying descriptor impulse systems. The output and input refer to the controlled output and the disturbance input, respectively. Two classes of disturbance inputs are considered, which belong to L2 and L∞. New results for the above-mentioned class of systems are presented in the form of sufficient conditions given in terms of differential matrix inequalities. Based on the two conditions, state feedback controllers are designed such that the resultant closed-loop systems are input-output finite-time stable. The result also apply to time-varying descriptor systems. Finally, two examples are presented to show the validity of the new results.
- Time-varying descriptor systems /
- differential matrix inequalities (DMI) /
- input-output finite-time stable /
- state feedback

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参考文献(24)

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