lyapunovstabilityandgeneralizedinvarianceprinciplefornonconvexdifferentialinclusions

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	lyapunovstabilityandgeneralizedinvarianceprinciplefornonconvexdifferentialinclusions
	Liang Shu; Zeng Xianlin; Hong Yiguang
	2016
发表期刊	controltheoryandtechnology
ISSN	2095-6983
卷号	014 期号:002 页码:140
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
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/41780
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.