Stability of Nonlinear Differential-Algebraic Systems Via Additive Identity

doi:10.1109/JAS.2020.1003219

CASIA OpenIR > 学术期刊 > IEEE/CAA Journal of Automatica Sinica

	Stability of Nonlinear Differential-Algebraic Systems Via Additive Identity
	Pierluigi Di Franco; Giordano Scarciotti; Alessandro Astolfi
发表期刊	IEEE/CAA Journal of Automatica Sinica
ISSN	2329-9266
	2020
卷号	7 期号:4 页码:929-941
摘要	The stability analysis for nonlinear differential-algebraic systems is addressed using tools from classical control theory. Sufficient stability conditions relying on matrix inequalities are established via Lyapunov Direct Method. In addition, a novel interpretation of differential-algebraic systems as feedback interconnection of a purely differential system and an algebraic system allows reducing the stability analysis to a small-gain-like condition. The study of stability properties for constrained mechanical systems, for a class of Lipschitz differential-algebraic systems and for an academic example is used to illustrate the theory.
关键词	Differential-algebraic systems Lyapunov method small-gain theorem stability analysis
DOI	10.1109/JAS.2020.1003219
引用统计	被引频次：8[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/43002
专题	学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Pierluigi Di Franco,Giordano Scarciotti,Alessandro Astolfi. Stability of Nonlinear Differential-Algebraic Systems Via Additive Identity[J]. IEEE/CAA Journal of Automatica Sinica,2020,7(4):929-941.
APA	Pierluigi Di Franco,Giordano Scarciotti,&Alessandro Astolfi.(2020).Stability of Nonlinear Differential-Algebraic Systems Via Additive Identity.IEEE/CAA Journal of Automatica Sinica,7(4),929-941.
MLA	Pierluigi Di Franco,et al."Stability of Nonlinear Differential-Algebraic Systems Via Additive Identity".IEEE/CAA Journal of Automatica Sinica 7.4(2020):929-941.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
JAS-2020-0102.pdf（1834KB）	期刊论文	出版稿	开放获取	CC BY-NC-SA	浏览下载