Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities

CSpace

	Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities
	Gan, ZX ; Ge, WG
	2001-07-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	259 期号:2 页码:596-608
摘要	In 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.
关键词	general Lurie system delay multiple non-linearities absolute stability Lyapunov functional
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000169946900019
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16316
专题	中国科学院数学与系统科学研究院
通讯作者	Gan, ZX
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
推荐引用方式 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.