| 控制系统的稳定条件与线性方程组的反问题 |
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| 引用本文： | 王金平,董迺斌.控制系统的稳定条件与线性方程组的反问题[J].北京工商大学学报(自然科学版),1990(1). |
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| 作者姓名： | 王金平 董迺斌 |
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| 作者单位： | 北京计算机学院，北京轻工业学院自动化工程系 |
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| 摘 要： | 一类控制系统绝对稳定的充要条件涉及一个线性方程组Ax=b的反问题。本文用矩阵分解法给出该反问题在正定矩阵类及正交矩阵类中的通解。这种方法简单灵活、不涉及线性空间的结构,从而容易在计算机上实现。
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| 关 键 词： | 控制系统 反问题 矩阵分解法 通解 |
THE STABILITY CONDITION OF CONTROL SYSTEM AND THE INVERSE PROBLEM ABOUT LINEAR EQUATIONS |
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| Wang Jinping.THE STABILITY CONDITION OF CONTROL SYSTEM AND THE INVERSE PROBLEM ABOUT LINEAR EQUATIONS[J].Journal of Beijing Technology and Business University:Natural Science Edition,1990(1). |
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| Authors: | Wang Jinping |
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| Institution: | Wang Jinping(Beijing Computer Institute) Dong Naibin(Beijine Institute of Light Industry) |
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| Abstract: | Sufficient and essential conditions about absolute stablity of directly controlling system involve an inverse problem concerned with linear equations Ax=b.General solutions of above inverse problem in positive definite matrix and in orthogonal matrix are given here by using factorization method of matrix. This method is simple and handy. It is independent of the structure of linear space, so it can easily be achieved by means of computer. |
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| Keywords: | controlling system inverse problem factorization method of matrix general solution |
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