DELAYED CONSENSUS IN MEAN-SQUARE OF MASS UNDER MARKOV SWITCHING TOPOLOGIES AND BROWN NOISE

被引：2
|
作者：
Zhou, Xia [1 ,2 ]
Xi, Meixuan [1 ]
Liu, Wanbing [1 ]
Ma, Zhongjun [1 ]
Cao, Jinde [3 ,4 ]
机构：
[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guangxi Coll & Univ Key Lab Data Anal & Computat, Guilin 541004, Peoples R China
[2] Guilin Univ Elect Technol, Ctr Appl Math Guangxi, Guilin 541002, Peoples R China
[3] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China
[4] Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Nonlinear multi-agent systems; delayed consensus in mean-square; Markov switching topologies; Brown noise; LEADER-FOLLOWING CONSENSUS; MULTIAGENT SYSTEMS; COMPONENT SYNCHRONIZATION; TRACKING CONTROL; NETWORKS;
D O I：
10.11948/20230307
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The delayed consensus in mean-square issue of nonlinear multi-agent systems (NMASs) under uncertain nonhomogeneous Markov switching (UNMS) topologies and Brown noise is investigated in this paper. Firstly, there are two delays �(�) and �. �(�) represents the time-varying delay among followers. � stands for the delay between the leader and the followers, which is the delay in delayed consensus in mean-square. When �=0, the delayed consensus degenerates to identical consensus. Secondly, the random communication topologies are modeled as nonhomogeneous Markov switching topologies in which the transition rates (TRs) are partially or totally unknown. Further, communication noise is also considered, which is assumed to be Brown noise. Sufficient conditions of delayed consensus in mean-square for the systems are gained on account of qualitative and stability theory, theory of random differetntial equations and distributed control theory. Finally, the correctness of the results is verified through the example given.
引用
收藏
页码：543 / 559
页数：17
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