| Delta域Lyapunov矩阵方程解的研究 |
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| 引用本文： | 邵锡军,杨成梧.Delta域Lyapunov矩阵方程解的研究[J].南京理工大学学报(自然科学版),1999,23(3):193-196,219. |
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| 作者姓名： | 邵锡军 杨成梧 |
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| 作者单位： | 南京理工大学动力工程学院,南京,210094 |
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| 基金项目： | 国家自然科学基金,博士点基金 |
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| 摘 要： | Ｌｙａｓｐｕｎｏｖ矩阵方程在控制理论中有着重要应用，该文针对传统方法在采样周期趋于零时联系和离散的Ｌｙａｐｕｎｏｖ矩阵方程两者没有 联系，引入具有较数数值特怀的Ｄｅｌｔａ算
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| 关 键 词： | 采样系统 离散系统 平均值 |
Bounds of the Solution in Delta Domain Lyapunov Matrices Equation |
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| Shao Xijun,Yang Chengwu.Bounds of the Solution in Delta Domain Lyapunov Matrices Equation[J].Journal of Nanjing University of Science and Technology(Nature Science),1999,23(3):193-196,219. |
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| Authors: | Shao Xijun Yang Chengwu |
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| Abstract: | It is very important to apply Lyapunov matrices equation in control theory. In this paper,we utilize the Delta operator which has better numerical characters to present the Delta domain Lyapunov matrices equation.There is no obvious relationship between continuous and discrete Lyapunov matrices equation when the sampled period trends to zero by using traditional method.Some bounds for the mean values,the eigenvalues and the determinant of the unified Lyapunov matrices equation are obtained,an illustration is also given to verify the validity of the calculating formulae we present. |
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| Keywords: | sampled systems discrete systems mean value |
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