| 关于矩阵不等式F0+k∑j=1XjFj＞0 |
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| 引用本文： | 翁东东.关于矩阵不等式F0+k∑j=1XjFj＞0[J].南昌职业技术师范学院学报,2005(4):41-43. |
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| 作者姓名： | 翁东东 |
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| 作者单位： | 泉州师范学院信息与金融数学系,福建,泉州,362000 |
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| 基金项目： | 泉州师范学院2004年度校自选科研课题（校2004KJⅡ10）. |
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| 摘 要： | 运用矩阵求迹运算“tr”得到一类线性矩阵不等式F0＋∑j=1^kXjFj〉0解的充分条件．这些充分条件皆为应用中容易检验的代数不等式,并此给出了相应的代数解。同时给出了线性矩阵不等式的几个主要定理。
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| 关 键 词： | 矩阵不等式 正交矩阵 显式代数解 对称矩阵 |
| 文章编号： | 1007-3558（2005）04-0041-03 |
| 收稿时间： | 2005-01-10 |
On the Linear Matrix Inequality |
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| Weng Dongdong.On the Linear Matrix Inequality[J].Journal of Nanchang Vocational & Technical Techers' College,2005(4):41-43. |
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| Authors: | Weng Dongdong |
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| Abstract: | The solution of a linear matrix inequality(LMI),a problem of public concern in the field of modern control theory,is discussed in the paper.By using the operator "tr" in matrix tracing,sufficient conditions for solvability of LMI are obtained.The conditions are expressed in the form of algebraic inequalities that can be easily verified in practice.Explicit algebraic solutions are given.Meanwhile it summarizes some main axioms and lemmas,and gives the steps for algebraic solutions and the problems we should attend to.The fact is that the linear matrix inequality(LMI) is very important in the modern control theory. |
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| Keywords: | matrix inequality orthogonal matrix explicit algebraic solution symmetry matrix |
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