On networks over finite rings
文献类型：期刊论文
| 作者 | Cheng, Daizhan1,2; Ji, Zhengping1,3 |
| 刊名 | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
 |
| 出版日期 | 2022-09-01 |
| 卷号 | 359期号:14页码:7562-7599 |
| ISSN号 | 0016-0032 |
| DOI | 10.1016/j.jfranklin.2022.07.039 |
| 英文摘要 | The (control) networks over finite rings are proposed and their properties are investigated. Based on semi-tensor product (STP) of matrices, a set of algebraic equations are provided to verify whether a finite set with two binary operators is a ring. As an application, all rings with 4 elements are obtained. It is then shown that the STP-based technique developed for logical (control) networks are applicable to (control) networks over finite rings. A (control) sub-network over a proper ideal of the bearing ring is constructed. Certain properties are revealed, showing that a network over the ideal behaves like a subsystem over an invariant subspace. Product rings are then introduced, which provides a tool for both constructing product networks and decomposing complex networks. Finally, the representation of networks over finite rings is considered, which investigates how many finite networks can be expressed as networks over finite rings, showing that the technique developed in this paper is widely applicable. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. |
| 资助项目 | NNSF[62073315] ; NNSF[61074114] ; NNSF[61273013] |
| WOS研究方向 | Automation & Control Systems ; Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000855295200015 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61022]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 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.Liaocheng Univ, Res Ctr Semitensor Prod Matrices, Lianocheng, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, Daizhan,Ji, Zhengping. On networks over finite rings[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2022,359(14):7562-7599. |
| APA | Cheng, Daizhan,&Ji, Zhengping.(2022).On networks over finite rings.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,359(14),7562-7599. |
| MLA | Cheng, Daizhan,et al."On networks over finite rings".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 359.14(2022):7562-7599. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。