Lyapunov function of general Lurie systems with multiple nonlinearities

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	Lyapunov function of general Lurie systems with multiple nonlinearities
	Gan, ZX; Han, JQ
	2003
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	16 期号:1 页码:119-126
摘要	In this paper, the absolute stability problem of general Lurie control system with multiple nonlinearities is investigated. Some new necessary and sufficient conditions are obtained for the existence of Lyapunov function of extended Lurie form with negative definite and negative semidefinite derivatives. From these conditions, some very general algebraic criteria for absolute stability are obtained, which extend and generalize previous work on the subject. A numerical example is presented to illustrate the effectiveness of the new criteria. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	general Lurie system multinonlinear feedback absolute stability Lyapunov function
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000179408900018
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18035
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	Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gan, ZX,Han, JQ. Lyapunov function of general Lurie systems with multiple nonlinearities[J]. APPLIED MATHEMATICS LETTERS,2003,16(1):119-126.
APA	Gan, ZX,&Han, JQ.(2003).Lyapunov function of general Lurie systems with multiple nonlinearities.APPLIED MATHEMATICS LETTERS,16(1),119-126.
MLA	Gan, ZX,et al."Lyapunov function of general Lurie systems with multiple nonlinearities".APPLIED MATHEMATICS LETTERS 16.1(2003):119-126.