KMS Of Academy of mathematics and systems sciences, CAS
Equivalence-Based Model of Dimension-Varying Linear Systems | |
Cheng, Daizhan1; Xu, Zhenhui2; Shen, Tielong2 | |
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. |
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