CSpace
Equivalence-Based Model of Dimension-Varying Linear Systems
Cheng, Daizhan1; Xu, Zhenhui2; Shen, Tielong2
2020-12-01
Source PublicationIEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN0018-9286
Volume65Issue:12Pages:5444-5449
AbstractA 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.
KeywordAerospace electronics Linear systems Dynamical systems Extraterrestrial measurements Control systems Vehicle dynamics Dimension-free state space dimension-varying linear (control) system S-system
DOI10.1109/TAC.2020.2973581
Indexed BySCI
Language英语
Funding ProjectNNSF of China[61773371] ; NNSF of China[61733018] ; JSPS KAKENHI[17H03284]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000595526300035
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/57790
Collection中国科学院数学与系统科学研究院
Corresponding AuthorShen, Tielong
Affiliation1.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
Recommended Citation
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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