KMS Of Academy of mathematics and systems sciences, CAS
| Finite-Time Synchronization of Impulsive Dynamical Networks With Strong Nonlinearity | |
| Zhu, Shuaibing1; Zhou, Jin1; Lu, Jinhu2,3,4,5; Lu, Jun-An1 | |
| 2021-08-01 | |
| Source Publication | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| ISSN | 0018-9286 |
| Volume | 66Issue:8Pages:3550-3561 |
| Abstract | 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. |
| Keyword | Synchronization Symmetric matrices Nonlinear systems Couplings Robustness Linearization techniques Finite-time synchronization (FTS) impulsive network local synchronization nonlinearity |
| DOI | 10.1109/TAC.2020.3022532 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61773294] ; National Natural Science Foundation of China[61374173] ; National Natural Science Foundation of China[61773175] |
| WOS Research Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000678334500012 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59000 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhou, Jin |
| Affiliation | 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 |
| Recommended Citation 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. |
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