Nonlinear systems possessing linear symmetry
文献类型：期刊论文
| 作者 | Cheng, Daizhan ; Yang, Guowu; Xi, Zairong
|
| 刊名 | INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
 |
| 出版日期 | 2007-01-10 |
| 卷号 | 17期号:1页码:51-81 |
| 关键词 | linear symmetry Lie group Lie algebra control system semi-tensor product of matrices |
| ISSN号 | 1049-8923 |
| DOI | 10.1002/rnc.1125 |
| 英文摘要 | This paper tackles linear symmetries of control systems. Precisely, the symmetry of affine nonlinear systems under the action of a sub-group of general linear group GL(n, R). First of all, the structure of state space (briefly, ss) symmetry group and its Lie algebra for a given system is investigated. Secondly, the structure of systems, which are ss-symmetric under rotations, is revealed. Thirdly, a complete classification of ss-symmetric planar systems is presented. It is shown that for planar systems there are only four classes of systems which are ss-symmetric with respect to four linear groups. Fourthly, a set of algebraic equations are presented, whose solutions provide the Lie algebra of the largest connected ss-symmetry group. Finally, some controllability properties of systems with ss-symmetry group are studied. As an auxiliary tool for computation, the concept and some properties of semi-tensor product of matrices are included. Copyright (C) 2006 John Wiley & Sons, Ltd. |
| WOS研究方向 | Automation & Control Systems ; Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000243039900003 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4004]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Cheng, Daizhan |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, Daizhan,Yang, Guowu,Xi, Zairong. Nonlinear systems possessing linear symmetry[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2007,17(1):51-81. |
| APA | Cheng, Daizhan,Yang, Guowu,&Xi, Zairong.(2007).Nonlinear systems possessing linear symmetry.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,17(1),51-81. |
| MLA | Cheng, Daizhan,et al."Nonlinear systems possessing linear symmetry".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 17.1(2007):51-81. |
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。