| LQ逆问题的可解性条件 |
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| 引用本文： | 傅诒辉,刘小也. LQ逆问题的可解性条件[J]. 华中科技大学学报(自然科学版), 1996, 0(12) |
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| 作者姓名： | 傅诒辉 刘小也 |
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| 作者单位： | 湖北省第一机械工业学校(傅诒辉)，华中理工大学系统工程研究所(刘小也) |
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| 摘 要： | 利用多项矩阵方法研究了多变量线性定常系统ＬＱ逆问题的可解性条件，得到了一般情形下的ＬＱ逆问题解的充要条件及其代数描述．所得结果的特款涵盖了已有文献中这方面的结果
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| 关 键 词： | LQ逆问题；多项式矩阵方法；可解性条件；线性系统 |
On the Solvability Conditions of the LQ Inverse Problem |
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| Fu Yihui Inst. of Systems Eng.,HUST,Wuhan ,China. Liu Xiaoye. On the Solvability Conditions of the LQ Inverse Problem[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1996, 0(12) |
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| Authors: | Fu Yihui Inst. of Systems Eng. HUST Wuhan China. Liu Xiaoye |
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| Affiliation: | Fu Yihui Inst. of Systems Eng.,HUST,Wuhan 430074,China. Liu Xiaoye |
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| Abstract: | The solvability conditions of the LQ inverse problem for the multivariable linear time invariant system is studied iwth the polynomial matrix method. The sufficient and necessary conditions for the solution of the general LQ inverse problem are presented and the algebraic characterization of the solution is obtained. All the solvability conditions of the LQ inverse problem found in the literature published are but special cases of the results of this paper. |
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| Keywords: | LQ inverse problem polynomial matrix method solvability conditions linear system |
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