Estimating the spectral abscissa of switched linear systems

被引：0
|
作者：
Lin, Meili [1 ]
Han, Junfeng [2 ]
机构：
[1] Fujian Univ Technol, Math & Phys Inst, Fuzhou 350118, Peoples R China
[2] Fujian Agr & Forestry Univ, Coll Mech & Elect Engn, Fuzhou 350002, Peoples R China
来源：
DEVELOPMENTS OF ARTIFICIAL INTELLIGENCE TECHNOLOGIES IN COMPUTATION AND ROBOTICS | 2020年 / 12卷
基金：
中国国家自然科学基金;
关键词：
Switched linear systems; matrix set measure; spectral abscissa; co-ordinate transformations; STABILITY;
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：
For continuous-time switched linear systems, it is well known that the spectral abscissa is equal to the least common matrix set measure of the subsystems. Base on this equivalence, in this paper, a computational procedure is proposed to obtain the least mu(1) measure of the switched linear system via coordinate transformations of type 3, which can be used to approximate the spectral abscissa. Furthermore, a stopping criterion of Algorithm 1 is given. An illustrative example is carried out to exhibit the effectiveness of the proposed method.
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页码：1417 / 1424
页数：8
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