Necessary and sufficient condition for global controllability of planar affine nonlinear systems
文献类型:期刊论文
| 作者 | Sun, Yimin |
| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
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| 出版日期 | 2007-08-01 |
| 卷号 | 52期号:8页码:1454-1460 |
| 关键词 | affine nonlinear systems control curve global controllability Jordan curve theorem reachable set |
| ISSN号 | 0018-9286 |
| DOI | 10.1109/TAC.2007.902750 |
| 英文摘要 | In this correspondence, we will investigate the global controllability of general planar affine nonlinear systems, and present a simple necessary and sufficient condition for global controllability. The analysis is carried out in detail, which is based on some basic facts in planar topology such as the Jordan curve Theorem, and in the geometrical theory of ordinary differential equations including the Poincare-Bendixson Theorem. Furthermore, we will also discuss the global controllability for higher dimensional affine nonlinear system with a triangular-like structure. |
| 语种 | 英语 |
| WOS记录号 | WOS:000248767300009 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5258] ![]() |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Sun, Yimin |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Yimin. Necessary and sufficient condition for global controllability of planar affine nonlinear systems[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2007,52(8):1454-1460. |
| APA | Sun, Yimin.(2007).Necessary and sufficient condition for global controllability of planar affine nonlinear systems.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,52(8),1454-1460. |
| MLA | Sun, Yimin."Necessary and sufficient condition for global controllability of planar affine nonlinear systems".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 52.8(2007):1454-1460. |
入库方式: OAI收割
来源:数学与系统科学研究院
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