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On quadratic Lyapunov functions
Cheng, DZ; Guo, L; Huang, J
2003-05-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume48Issue:5Pages:885-890
AbstractA topological structure, as a subset of [0, 2pi)(L) x R-+(n-1), is proposed for the set of quadratic Lyapunov functions (QLFs) of a given stable linear system. A necessary and sufficient condition for the existence of a common QLF of a finite set of stable matrices is obtained as the positivity of a certain integral. The structure and the conditions are considerably simplified for planar systems. It is also proved that a set of block upper triangular matrices share a common QLF, iff each set of diagonal blocks share a common QLF.
Keywordcommon quadratic Lyapunov function (QLF) stabilization switched system
DOI10.1109/TAC.2003.811274
Language英语
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000182870800026
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:129[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19071
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
2.Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Hong Kong, Hong Kong, Peoples R China
Recommended Citation
GB/T 7714
Cheng, DZ,Guo, L,Huang, J. On quadratic Lyapunov functions[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2003,48(5):885-890.
APA Cheng, DZ,Guo, L,&Huang, J.(2003).On quadratic Lyapunov functions.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,48(5),885-890.
MLA Cheng, DZ,et al."On quadratic Lyapunov functions".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 48.5(2003):885-890.
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