Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations
文献类型：期刊论文
| 作者 | Lin Meili1; Sun Zhendong2
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2016-04-01 |
| 卷号 | 29期号:2页码:350-366 |
| 关键词 | Coordinate transformations matrix set measure spectral abscissa switched linear systems |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-015-4175-0 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000373369500005 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22429]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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