lyapunovstabilityandgeneralizedinvarianceprinciplefornonconvexdifferentialinclusions

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	lyapunovstabilityandgeneralizedinvarianceprinciplefornonconvexdifferentialinclusions
	Liang Shu; Zeng Xianlin; Hong Yiguang
刊名	controltheoryandtechnology
	2016
卷号	014 期号:002 页码:140
ISSN号	2095-6983
英文摘要	This paper studies the system stability problems of a class of nonconvex differential inclusions. At first, a basic stability result is obtained by virtue of locally Lipschitz continuous Lyapunov functions. Moreover, a generalized invariance principle and related attraction conditions are proposed and proved to overcome the technical difficulties due to the absence of convexity. In the technical analysis, a novel set-valued derivative is proposed to deal with nonsmooth systems and nonsmooth Lyapunov functions. Additionally, the obtained results are consistent with the existing ones in the case of convex differential inclusions with regular Lyapunov functions. Finally, illustrative examples are given to show the effectiveness of the methods.
语种	英语
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/41779]
专题	系统科学研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Liang Shu,Zeng Xianlin,Hong Yiguang. lyapunovstabilityandgeneralizedinvarianceprinciplefornonconvexdifferentialinclusions[J]. controltheoryandtechnology,2016,014(002):140.
APA	Liang Shu,Zeng Xianlin,&Hong Yiguang.(2016).lyapunovstabilityandgeneralizedinvarianceprinciplefornonconvexdifferentialinclusions.controltheoryandtechnology,014(002),140.
MLA	Liang Shu,et al."lyapunovstabilityandgeneralizedinvarianceprinciplefornonconvexdifferentialinclusions".controltheoryandtechnology 014.002(2016):140.