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Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities
Gan, ZX; Ge, WG
2001-07-15
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume259Issue:2Pages:596-608
AbstractIn this paper, the absolute stability problem of a multiple delay general Lurie control system with multiple non-linearities is considered. Necessary and sufficient conditions are obtained for the existence of the Lyapunov functional of extended Lurie form with negative definite derivative. From those conditions, a very general algebraic criterion for absolute stability is obtained, which extends the previous results. A concise example illustrates the effectiveness of the present results. (C) 2001 Academic Press.
Keywordgeneral Lurie system delay multiple non-linearities absolute stability Lyapunov functional
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000169946900019
PublisherACADEMIC PRESS INC
Citation statistics
Cited Times:35[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16316
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.Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
Recommended Citation
GB/T 7714
Gan, ZX,Ge, WG. Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2001,259(2):596-608.
APA Gan, ZX,&Ge, WG.(2001).Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,259(2),596-608.
MLA Gan, ZX,et al."Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 259.2(2001):596-608.
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