KMS Of Academy of mathematics and systems sciences, CAS
| Stability of switched polynomial systems | |
Li, Zhiqiang; Qiao, Yupeng; Qi, Hongsheng ; Cheng, Daizhan
| |
| 2008-09-01 | |
| Source Publication | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| ISSN | 1009-6124 |
| Volume | 21Issue:3Pages:362-377 |
| Abstract | 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. |
| Keyword | global asymptotical stability semi-tensor product switched polynomial systems |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[60674022] ; National Natural Science Foundation of China[60736022] ; National Natural Science Foundation of China[60221301] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Interdisciplinary Applications |
| WOS ID | WOS:000259101600004 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/5674 |
| Collection | 系统科学研究所 |
| Corresponding Author | Li, Zhiqiang |
| Affiliation | Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China |
| Recommended Citation 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. |
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