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Chin. Phys. B, 2019, Vol. 28(5): 050501    DOI: 10.1088/1674-1056/28/5/050501
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Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control

Xiao-Fen Qiu(邱小芬), Yin-Xing Zhang(张银星), Ke-Zan Li(李科赞)
School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin 541004, China
Abstract  We introduce a new consensus pattern, named a successive lag cluster consensus (SLCC), which is a generalized pattern of successive lag consensus (SLC). By applying delay-dependent impulsive control, the SLCC of first-order and second-order multi-agent systems is discussed. Furthermore, based on graph theory and stability theory, some sufficient conditions for the stability of SLCC on multi-agent systems are obtained. Finally, several numerical examples are given to verify the correctness of our theoretical results.
Keywords:  successive lag cluster consensus      impulsive control      multi-agent systems  
Received:  01 December 2018      Revised:  29 January 2019      Published:  05 May 2019
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  89.75.-k (Complex systems)  
  02.30.Yy (Control theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61663006 and 11661026), the Guangxi Natural Science Foundation Program, China (Grant No. 2015GXNSFBB139002), the Guangxi Key Laboratory of Cryptography and Information Security, China (Grant No. GCIS201612), and the Innovation Project of GUET Graduate Education, China (Grant No. 2018YJCX57).
Corresponding Authors:  Ke-Zan Li     E-mail:  kezanli@163.com

Cite this article: 

Xiao-Fen Qiu(邱小芬), Yin-Xing Zhang(张银星), Ke-Zan Li(李科赞) Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control 2019 Chin. Phys. B 28 050501

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