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Equivalence-Based Model of Dimension-Varying Linear Systems

文献类型：期刊论文

作者Cheng, Daizhan1; Xu, Zhenhui2; Shen, Tielong2
刊名IEEE TRANSACTIONS ON AUTOMATIC CONTROL
出版日期2020-12-01
卷号65期号:12页码:5444-5449
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
ISSN号0018-9286
DOI10.1109/TAC.2020.2973581
英文摘要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.
资助项目NNSF of China[61773371] ; NNSF of China[61733018] ; JSPS KAKENHI[17H03284]
WOS研究方向Automation & Control Systems ; Engineering
语种英语
WOS记录号WOS:000595526300035
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57789]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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