Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems

doi:10.1016/j.chaos.2005.12.059

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	Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems
	Yan, Zhenya; Yu, Pei
	2007-07-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	33 期号:2 页码:419-435
摘要	In this paper, we study chaos (lag) synchronization of a new LC chaotic system, which can exhibit not only a two-scroll attractor but also two double-scroll attractors for different parameter values, via three types of state feedback controls: (i) linear feedback control; (ii) adaptive feedback control; and (iii) a combination of linear feedback and adaptive feedback controls. As a consequence, ten families of new feedback control laws are designed to obtain global chaos lag synchronization for tau < 0 and global chaos synchronization for tau = 0 of the LC system. Numerical simulations are used to illustrate these theoretical results. Each family of these obtained feedback control laws, including two linear (adaptive) functions or one linear function and one adaptive function, is added to two equations of the LC system. This is simpler than the known synchronization controllers, which apply controllers to all equations of the LC system. Moreover, based on the obtained results of the LC system, we also derive the control laws for chaos (lag) synchronization of another new type of chaotic system. (c) 2006 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2005.12.059
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000246057800010
出版者	PERGAMON-ELSEVIER SCIENCE 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/4098
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China 2.Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
推荐引用方式 GB/T 7714	Yan, Zhenya,Yu, Pei. Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems[J]. CHAOS SOLITONS & FRACTALS,2007,33(2):419-435.
APA	Yan, Zhenya,&Yu, Pei.(2007).Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems.CHAOS SOLITONS & FRACTALS,33(2),419-435.
MLA	Yan, Zhenya,et al."Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems".CHAOS SOLITONS & FRACTALS 33.2(2007):419-435.