Equivalence-Based Model of Dimension-Varying Linear Systems

doi:10.1109/TAC.2020.2973581

CSpace

	Equivalence-Based Model of Dimension-Varying Linear Systems
	Cheng, Daizhan 1; Xu, Zhenhui 2; Shen, Tielong 2
	2020-12-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	65 期号:12 页码:5444-5449
摘要	A dimension-free state space is proposed, which is equipped with a cross-dimensional distance. This distance leads to projections over Euclidean spaces of different dimensions and the corresponding linear systems on them. Based on these projections, equivalences of vectors and matrices of different dimensions are proposed, and dynamics on quotient space is obtained. Finally, using lifts of dynamic systems on quotient space to Euclidean spaces of different dimensions, a cross-dimensional model is proposed to deal with the dynamics of dimension-varying process of linear systems. As an application, the control of clutch system is investigated.
关键词	Aerospace electronics Linear systems Dynamical systems Extraterrestrial measurements Control systems Vehicle dynamics Dimension-free state space dimension-varying linear (control) system S-system
DOI	10.1109/TAC.2020.2973581
收录类别	SCI
语种	英语
资助项目	NNSF of China[61773371] ; NNSF of China[61733018] ; JSPS KAKENHI[17H03284]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000595526300035
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS 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/57790
专题	中国科学院数学与系统科学研究院
通讯作者	Shen, Tielong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Sophia Univ, Dept Engn & Appl Sci, Tokyo 1028554, Japan
推荐引用方式 GB/T 7714	Cheng, Daizhan,Xu, Zhenhui,Shen, Tielong. Equivalence-Based Model of Dimension-Varying Linear Systems[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2020,65(12):5444-5449.
APA	Cheng, Daizhan,Xu, Zhenhui,&Shen, Tielong.(2020).Equivalence-Based Model of Dimension-Varying Linear Systems.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,65(12),5444-5449.
MLA	Cheng, Daizhan,et al."Equivalence-Based Model of Dimension-Varying Linear Systems".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 65.12(2020):5444-5449.