Stability of switched polynomial systems
文献类型：期刊论文
| 作者 | Li, Zhiqiang; Qiao, Yupeng; Qi, Hongsheng ; Cheng, Daizhan
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2008-09-01 |
| 卷号 | 21期号:3页码:362-377 |
| 关键词 | global asymptotical stability semi-tensor product switched polynomial systems |
| ISSN号 | 1009-6124 |
| 英文摘要 | This paper investigates the stability of (switched) polynomial systems. Using semi-tensor product of matrices, the paper develops two tools for testing the stability of a (switched) polynomial system. One is to convert a product of multi-variable polynomials into a canonical form, and the other is an easily verifiable sufficient condition to justify whether a multi-variable polynomial is positive definite. Using these two tools, the authors construct a polynomial function as a candidate Lyapunov function and via testing its derivative the authors provide some sufficient conditions for the global stability of polynomial systems. |
| 资助项目 | National Natural Science Foundation of China[60674022] ; National Natural Science Foundation of China[60736022] ; National Natural Science Foundation of China[60221301] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000259101600004 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5673]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Li, Zhiqiang |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Zhiqiang,Qiao, Yupeng,Qi, Hongsheng,et al. Stability of switched polynomial systems[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2008,21(3):362-377. |
| APA | Li, Zhiqiang,Qiao, Yupeng,Qi, Hongsheng,&Cheng, Daizhan.(2008).Stability of switched polynomial systems.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,21(3),362-377. |
| MLA | Li, Zhiqiang,et al."Stability of switched polynomial systems".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 21.3(2008):362-377. |
入库方式： OAI收割
来源：数学与系统科学研究院
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