Stability of switched polynomial systems

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	Stability of switched polynomial systems
	Li, Zhiqiang; Qiao, Yupeng; Qi, Hongsheng; Cheng, Daizhan
	2008-09-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	21 期号:3 页码:362-377
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.
关键词	global asymptotical stability semi-tensor product switched polynomial systems
语种	英语
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
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000259101600004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5674
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.