| 广义统一代数Lyapunov方程的亚正定解 |
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| 引用本文： | 于丽,王建丽,黄敬频.广义统一代数Lyapunov方程的亚正定解[J].广西科学,2009,16(4):381-384. |
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| 作者姓名： | 于丽 王建丽 黄敬频 |
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| 作者单位： | 广西民族大学数学与计算机科学学院,广西南宁,530006 |
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| 基金项目： | 广西自然科学基金项目 |
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| 摘 要： | 给出基于Delta算子的广义统一代数Lyapunov方程（GUALE）具有亚正定解的必要和充分条件,建立求解GUALE亚正定解的迭代算法并用数值算例验其有效性.该算法收敛而且所得的算例结果与理论值相符.
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| 关 键 词： | 广义统一代数 Lyapunov方程 亚正定解 采样周期 选取方法 |
| 收稿时间： | 2008/10/30 0:00:00 |
The Subpositive Definite Solution of the Generalized Unified Algebraic Lyapunov Equation |
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| YU Li,WANG Jian-li and HUANG Jing-pin.The Subpositive Definite Solution of the Generalized Unified Algebraic Lyapunov Equation[J].Guangxi Sciences,2009,16(4):381-384. |
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| Authors: | YU Li WANG Jian-li and HUANG Jing-pin |
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| Institution: | YU Li,WANG Jian-li,HUANG Jing-pin(College of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning,Guangxi,530006,China) |
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| Abstract: | The necessary and sufficient conditions of the sub positivedefinite solution to the generalized unified algebraic Lyapunov equation based on Delta operator are given,the iterative algorithms for computing the sub positive-definite solution to the GUALE is established and we use numerical example to show the results.The algorithms is convergent and the results is corresponding to the theoretical values. |
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| Keywords: | generalized unified algebraic Lyapunov equation subpositive definite solution sampling period selection method |
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