Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations

doi:10.1371/journal.pone.0175730

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	Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations
	Liu, Jian 1; Liu, Kexin 2; Liu, Shutang 3
	2017-05-03
发表期刊	PLOS ONE
ISSN	1932-6203
卷号	12 期号:5 页码:16
摘要	In this paper, adaptive control is extended from real space to complex space, resulting in a new control scheme for a class of n-dimensional time-dependent strict-feedback complex-variable chaotic (hyperchaotic) systems (CVCSs) in the presence of uncertain complex parameters and perturbations, which has not been previously reported in the literature. In detail, we have developed a unified framework for designing the adaptive complex scalar controller to ensure this type of CVCSs asymptotically stable and for selecting complex update laws to estimate unknown complex parameters. In particular, combining Lyapunov functions dependent on complex-valued vectors and back-stepping technique, sufficient criteria on stabilization of CVCSs are derived in the sense of Wirtinger calculus in complex space. Finally, numerical simulation is presented to validate our theoretical results.
DOI	10.1371/journal.pone.0175730
语种	英语
资助项目	National Nature Science Foundation of China[61533011] ; National Nature Science Foundation of China[61273088] ; National Nature Science Foundation of China[61473133] ; Nature Science Foundation of Shandong Province, China[ZR2014FL015] ; Nature Science Foundation of Shandong Province, China[ZR2015AL015] ; Doctoral Research Foundation of University of Jinan[XBS1531] ; Foundation for University Young Key Teacher Program of Shandong Provincial Education Department, China
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000400647000024
出版者	PUBLIC LIBRARY SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25428
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Jian
作者单位	1.Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Liu, Jian,Liu, Kexin,Liu, Shutang. Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations[J]. PLOS ONE,2017,12(5):16.
APA	Liu, Jian,Liu, Kexin,&Liu, Shutang.(2017).Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations.PLOS ONE,12(5),16.
MLA	Liu, Jian,et al."Adaptive control for a class of nonlinear complex dynamical systems with uncertain complex parameters and perturbations".PLOS ONE 12.5(2017):16.