Calculation of the least L1 measure for switched linear systems via similarity transformation

被引：0

作者：

Lin, Meili ^{[1
]}

Sun, Zhendong ^{[2
]}

机构：

[1] South China Univ Technol, Coll Automat Sci & Engn, Guangzhou 510641, Guangdong, Peoples R China

[2] Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

2013 9TH ASIAN CONTROL CONFERENCE (ASCC) | 2013年

基金：

美国国家科学基金会;

关键词：

STABILITY; CRITERIA;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A strategy of similarity transformation is proposed to calculate the least L-1 measure for continuous-time switched linear systems. The similarity transformation we performed on matrix A is PAP(-1), where the similarity transformation matrix P is a row operator multiplying a row of matrix A by a nonzero constant. A sequence of minimum of matrix set measure corresponding to a series of transformations is obtained. Furthermore, the sequence is convergent to a constant which can be used to estimate the largest divergence rate. These transformations are easily applicable because of their simple forms. A numerical simulation shows the effectiveness of the proposed method.

引用

页数：6

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