UPPER BOUND ESTIMATION OF THE SPECTRAL ABSCISSA FOR SWITCHED LINEAR SYSTEMS VIA COORDINATE TRANSFORMATIONS

doi:10.14736/kyb-2018-3-0576

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	UPPER BOUND ESTIMATION OF THE SPECTRAL ABSCISSA FOR SWITCHED LINEAR SYSTEMS VIA COORDINATE TRANSFORMATIONS
	Lin, Meili 1; Sun, Zhendong2,3
	2018
发表期刊	KYBERNETIKA
ISSN	0023-5954
卷号	54 期号:3 页码:576-592
摘要	In this paper, we develop computational procedures to approximate the spectral abscissa of the switched linear system via square coordinate transformations. First, we design iterative algorithms to obtain a sequence of the least mu(1) measure. Second, it is shown that this sequence is convergent and its limit can be used to estimate the spectral abscissa. Moreover, the stopping condition of Algorithm 1 is also presented. Finally, an example is carried out to illustrate the effectiveness of the proposed method.
关键词	switched linear systems matrix set measure spectral abscissa coordinate transformations
DOI	10.14736/kyb-2018-3-0576
语种	英语
资助项目	National Natural Science Foundation of China[61733018] ; Young and Middle-aged Foundation of Fujian Education Research Grant[JAT160294]
WOS研究方向	Computer Science
WOS类目	Computer Science, Cybernetics
WOS记录号	WOS:000442061200009
出版者	KYBERNETIKA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31105
专题	系统科学研究所
通讯作者	Sun, Zhendong
作者单位	1.Fujian Univ Technol, Math & Phys Inst, Fuzhou 350118, Fujian, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Lin, Meili,Sun, Zhendong. UPPER BOUND ESTIMATION OF THE SPECTRAL ABSCISSA FOR SWITCHED LINEAR SYSTEMS VIA COORDINATE TRANSFORMATIONS[J]. KYBERNETIKA,2018,54(3):576-592.
APA	Lin, Meili,&Sun, Zhendong.(2018).UPPER BOUND ESTIMATION OF THE SPECTRAL ABSCISSA FOR SWITCHED LINEAR SYSTEMS VIA COORDINATE TRANSFORMATIONS.KYBERNETIKA,54(3),576-592.
MLA	Lin, Meili,et al."UPPER BOUND ESTIMATION OF THE SPECTRAL ABSCISSA FOR SWITCHED LINEAR SYSTEMS VIA COORDINATE TRANSFORMATIONS".KYBERNETIKA 54.3(2018):576-592.