Finite-Time Synchronization of Impulsive Dynamical Networks With Strong Nonlinearity

doi:10.1109/TAC.2020.3022532

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	Finite-Time Synchronization of Impulsive Dynamical Networks With Strong Nonlinearity
	Zhu, Shuaibing 1; Zhou, Jin 1; Lu, Jinhu 2,3,4,5; Lu, Jun-An 1
	2021-08-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	66 期号:8 页码:3550-3561
摘要	Finite-time synchronization (FTS) of dynamical networks has received much attention in recent years, as it has fast convergence rate and good robustness. Most existing results rely heavily on some global condition such as the Lipschitz condition, which has limitations in describing the strong nonlinearity of most real systems. Dealing with strong nonlinearity in the field of FTS is still a challenging problem. In this article, the FTS problem of impulsive dynamical networks with general nonlinearity (especially strong nonlinearity) is considered. In virtue of the concept of nonlinearity strength that quantizes the network nonlinearity, local FTS criteria are established, where the range of the admissible initial values and the settling time are solved. For the networks with weak nonlinearity, global FTS criteria that unify synchronizing, inactive, and desynchronizing impulses are derived. Differing from most existing studies on FTS, the node system here does not have to satisfy the global Lipschitz condition, therefore covering more situations that are practical. Finally, numerical examples are provided to demonstrate our theoretical results.
关键词	Synchronization Symmetric matrices Nonlinear systems Couplings Robustness Linearization techniques Finite-time synchronization (FTS) impulsive network local synchronization nonlinearity
DOI	10.1109/TAC.2020.3022532
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[61773294] ; National Natural Science Foundation of China[61374173] ; National Natural Science Foundation of China[61773175]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000678334500012
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/59000
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Jin
作者单位	1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 2.Beihang Univ, State Key Lab Software Dev Engn, Sch Automat Sci & Elect Engn, Beijing 100083, Peoples R China 3.Beihang Univ, Beijing Adv Innovat Ctr Big Data & Brain Machine, Beijing 100083, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Shuaibing,Zhou, Jin,Lu, Jinhu,et al. Finite-Time Synchronization of Impulsive Dynamical Networks With Strong Nonlinearity[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2021,66(8):3550-3561.
APA	Zhu, Shuaibing,Zhou, Jin,Lu, Jinhu,&Lu, Jun-An.(2021).Finite-Time Synchronization of Impulsive Dynamical Networks With Strong Nonlinearity.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,66(8),3550-3561.
MLA	Zhu, Shuaibing,et al."Finite-Time Synchronization of Impulsive Dynamical Networks With Strong Nonlinearity".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 66.8(2021):3550-3561.