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Stability of switched polynomial systems
Li, Zhiqiang; Qiao, Yupeng; Qi, Hongsheng; Cheng, Daizhan
AbstractThis 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.
Keywordglobal asymptotical stability semi-tensor product switched polynomial systems
Funding ProjectNational Natural Science Foundation of China[60674022] ; National Natural Science Foundation of China[60736022] ; National Natural Science Foundation of China[60221301]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000259101600004
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Document Type期刊论文
Corresponding AuthorLi, Zhiqiang
AffiliationChinese 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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