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

doi:10.14736/kyb-2018-3-0576

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 系统科学研究所

	UPPER BOUND ESTIMATION OF THE SPECTRAL ABSCISSA FOR SWITCHED LINEAR SYSTEMS VIA COORDINATE TRANSFORMATIONS
	Lin, Meili 1; Sun, Zhendong2,3
刊名	KYBERNETIKA
	2018
卷号	54 期号:3 页码:576-592
关键词	switched linear systems matrix set measure spectral abscissa coordinate transformations
ISSN号	0023-5954
DOI	10.14736/kyb-2018-3-0576
英文摘要	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.
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
语种	英语
出版者	KYBERNETIKA
WOS记录号	WOS:000442061200009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31104]
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.