Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control  

作　　者：Xiao-Fen Qiu Yin-Xing Zhang Ke-Zan Li 邱小芬;张银星;李科赞(School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security,Guilin University of Electronic Technology)

机构地区：[1]School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security,Guilin University of Electronic Technology

出　　处：《Chinese Physics B》2019年第5期38-47,共10页中国物理B（英文版）

基　　金：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);the Innovation of GUET Graduate Education,China(Grant No.2018YJCX57)

摘　　要：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.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.

关 键 词：successive LAG CLUSTER CONSENSUS IMPULSIVE control multi-agent systems 

分 类 号：O4[理学—物理]