On the possibility of creating new asymptotically stable periodic orbits in continuous time dynamical systems by small feedback control

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	On the possibility of creating new asymptotically stable periodic orbits in continuous time dynamical systems by small feedback control
	Yang, XS ; Zhang, SC
	2003-09-01
发表期刊	NONLINEARITY
ISSN	0951-7715
卷号	16 期号:5 页码:1853-1859
摘要	In this paper an important problem in chaos control theory-whether it is possible to create a new stable periodic orbit for a dynamical system by a small feedback control-is studied. It is proved that an orbit with an initial condition (point) being of some recurrent property can become an asymptotically stable periodic orbit by a small perturbation. This may inspire a possible new method for controlling chaos.
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000185507700017
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18107
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, XS
作者单位	1.Xiamen Univ, Ctr Syst & Control, Fujian 361005, Peoples R China 2.Xiamen Univ, Dept Automat, Fujian 361005, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yang, XS,Zhang, SC. On the possibility of creating new asymptotically stable periodic orbits in continuous time dynamical systems by small feedback control[J]. NONLINEARITY,2003,16(5):1853-1859.
APA	Yang, XS,&Zhang, SC.(2003).On the possibility of creating new asymptotically stable periodic orbits in continuous time dynamical systems by small feedback control.NONLINEARITY,16(5),1853-1859.
MLA	Yang, XS,et al."On the possibility of creating new asymptotically stable periodic orbits in continuous time dynamical systems by small feedback control".NONLINEARITY 16.5(2003):1853-1859.