Topologies on quotient space of matrices via semi-tensor product
文献类型：期刊论文
| 作者 | Cheng, Daizhan1 ; Liu, Zequn1,2
|
| 刊名 | ASIAN JOURNAL OF CONTROL
 |
| 出版日期 | 2019-09-01 |
| 页码 | 10 |
| 关键词 | equivalence class metric topology product topology quotient space quotient topology semi-tensor product |
| ISSN号 | 1561-8625 |
| DOI | 10.1002/asjc.2156 |
| 英文摘要 | An equivalence of matrices via semi-tensor product (STP) is proposed. Using this equivalence, the quotient space is obtained. Parallel and sequential arrangements of the natural projection on different shapes of matrices lead to the product topology and quotient topology respectively. Then the Frobenious inner product of matrices is extended to equivalence classes, which produces a metric on the quotient space. This metric leads to a metric topology. A comparison for these three topologies is presented. Some topological properties are revealed. |
| 资助项目 | National Natural Science Foundation of China[61333001] ; National Natural Science Foundation of China[61733018] ; National Natural Science Foundation of China[61773371] |
| WOS研究方向 | Automation & Control Systems |
| 语种 | 英语 |
| WOS记录号 | WOS:000484482600001 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/33316]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Cheng, Daizhan |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, Daizhan,Liu, Zequn. Topologies on quotient space of matrices via semi-tensor product[J]. ASIAN JOURNAL OF CONTROL,2019:10. |
| APA | Cheng, Daizhan,&Liu, Zequn.(2019).Topologies on quotient space of matrices via semi-tensor product.ASIAN JOURNAL OF CONTROL,10. |
| MLA | Cheng, Daizhan,et al."Topologies on quotient space of matrices via semi-tensor product".ASIAN JOURNAL OF CONTROL (2019):10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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