[1]冯纯伯.判别线性定常系统稳定性的一种计算方法[J].东南大学学报(自然科学版),1980,10(2):57-61.[doi:10.3969/j.issn.1001-0505.1980.02.006]
 Feng Chun-bo.A Computational Method for Stability Analysis of Linear Control Systems[J].Journal of Southeast University (Natural Science Edition),1980,10(2):57-61.[doi:10.3969/j.issn.1001-0505.1980.02.006]
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判别线性定常系统稳定性的一种计算方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
10
期数:
1980年第2期
页码:
57-61
栏目:
本刊信息
出版日期:
1980-06-20

文章信息/Info

Title:
A Computational Method for Stability Analysis of Linear Control Systems
作者:
冯纯伯
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Author(s):
Feng Chun-bo
关键词:
线性定常系统 计算方法 稳定性 初等相似变换 计算机辅助设计 矩阵块 判别 状态矩阵 正交变换 矩阵化
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1980.02.006
摘要:
本文提出一种分析线性定常系统稳定性的计算方法。第一步利用初等相似变换或正交变换将状态矩阵化为上Hessenberg矩阵,第二步经初等相似变换将上Hessenberg矩阵化为Schwarz矩阵,然后应用Schwarz矩阵的性质来判别稳定。本方法计算量小,且可应用于多变量系统综合的计算机辅助设计。
Abstract:
A computational method for stability analysis of linear control systems is presented. The state-variable matrix of a linear system is first transformed into an equivalent upper Hessenberg matrix. This reduction of the system matrix to Hessenberg form may be achieved by the use of either stabilized elementary matrices or elementary unitary matrices. The upper Hessenberg matrix is then transformed into Sehwarz matrix. The stability of the system is analyzed on the basis of the well-known property of Schwarz matrix. The suggested method is also useful for computer-aided feedback synthesis of multivariable linear control systems.

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更新日期/Last Update: 2013-05-01