| 引用本文： |
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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. [点击复制]
- YU Li,WANG Jian-li,HUANG Jing-pin.The Subpositive Definite Solution of the Generalized Unified Algebraic Lyapunov Equation[J].Guangxi Sciences,2009,16(4):381-384. [点击复制]
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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. |
| 关键词: 广义统一代数 Lyapunov方程 亚正定解 采样周期 选取方法 |
| DOI： |
| 投稿时间：2008-10-30 |
| 基金项目:广西自然科学基金项目(桂科自0832083)资助 |
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| The Subpositive Definite Solution of the Generalized Unified Algebraic Lyapunov Equation |
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YU Li, WANG Jian-li, HUANG Jing-pin
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| (College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi, 530006, China) |
| 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. |
| Key words: generalized unified algebraic Lyapunov equation subpositive definite solution sampling period selection method |
