Necessary and sufficient condition for global controllability of planar affine nonlinear systems

doi:10.1109/TAC.2007.902750

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	Necessary and sufficient condition for global controllability of planar affine nonlinear systems
	Sun, Yimin
	2007-08-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	52 期号:8 页码:1454-1460
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.
关键词	affine nonlinear systems control curve global controllability Jordan curve theorem reachable set
DOI	10.1109/TAC.2007.902750
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000248767300009
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5259
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.