Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations

doi:10.1007/s11424-015-4175-0

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	Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations
	Lin Meili 1; Sun Zhendong2
	2016-04-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	29 期号:2 页码:350-366
摘要	In this paper, an approach of square coordinate transformation is proposed to approximate the spectral abscissa for continuous-time switched linear systems. By applying elementary transformations iteratively, a series of minimums of least mu (1) matrix set measures are obtained, which are utilized to approximate the spectral abscissa of the switched system. The approach is developed into tractable numerical algorithms that provide upper bound estimates of the spectral abscissa. Numerical simulations show the effectiveness of the proposed method.
关键词	Coordinate transformations matrix set measure spectral abscissa switched linear systems
DOI	10.1007/s11424-015-4175-0
语种	英语
资助项目	National Key Basic Research Program (973 Plan)[2014CB845302] ; National Natural Science Foundation of China[61273121]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000373369500005
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22430
专题	系统科学研究所
通讯作者	Lin Meili; Sun Zhendong
作者单位	1.S China Univ Technol, Coll Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Lin Meili,Sun Zhendong. Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2016,29(2):350-366.
APA	Lin Meili,&Sun Zhendong.(2016).Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,29(2),350-366.
MLA	Lin Meili,et al."Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 29.2(2016):350-366.