Achieving Cluster Consensus in Continuous-Time Networks of Multi-Agents With Inter-Cluster Non-Identical Inputs

被引：67
作者：
Han, Yujuan [1 ,2 ]
Lu, Wenlian [1 ,3 ,4 ]
Chen, Tianping [1 ,5 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Shanghai Maritime Univ, Coll Informat Engn, Shanghai 201306, Peoples R China
[3] Fudan Univ, Ctr Computat Syst Biol, Shanghai 200433, Peoples R China
[4] Univ Warwick, Dept Comp Sci, Coventry CV4 7AL, W Midlands, England
[5] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2015年 / 60卷 / 03期
关键词：
Cluster consensus; cooperative control; linear system; multi-agent system; SEEKING;
D O I：
10.1109/TAC.2014.2330428
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this technical note, cluster consensus in continuous-time networks of multi-agents with time-varying topologies via non-identical inter-cluster inputs is studied. The cluster consensus contains two aspects: intra-cluster synchronization, that the state differences between agents in the same cluster converge to zero, and inter-cluster separation, that the states of the agents in different clusters do not approach. delta-cluster-spanning-tree in continuous-time networks of multi-agent systems plays essential role in analysis of cluster synchronization. Inter-cluster separation can be realized by imposing adaptive inputs that are identical within the same cluster but different in different clusters, under the inter-cluster common influence condition. Simulation examples demonstrate the effectiveness of the derived theoretical results.
引用
收藏
页码：793 / 798
页数：6
相关论文
共 24 条
[1]  
Adrianova L Y., 1995, Introduction to Linear Systems of Differential Equations (Translations of Mathematical Monographs) vol 146
[2]  
[Anonymous], P 2003 AM CONTR C JU, DOI DOI 10.1109/ACC.2003.1239709
[3]  
[Anonymous], 1987, Computer Graphics, DOI DOI 10.1145/37402
[4]  
Barreira L., 2002, U LECT SERIES, VVol. 23
[5]   EXACT AND ORDINARY LUMPABILITY IN FINITE MARKOV-CHAINS [J].
BUCHHOLZ, P .
JOURNAL OF APPLIED PROBABILITY, 1994, 31 (01) :59-75
[6]   On the cluster consensus of discrete-time multi-agent systems [J].
Chen, Yao ;
Lu, Jinhu ;
Han, Fengling ;
Yu, Xinghuo .
SYSTEMS & CONTROL LETTERS, 2011, 60 (07) :517-523
[7]  
Godsil C.D., 2001, Algebraic Graph Theory
[8]   PRODUCTS OF NONNEGATIVE MATRICES [J].
HAJNAL, J .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1976, 79 (MAY) :521-530
[9]   Cluster Consensus in Discrete-Time Networks of Multiagents With Inter-Cluster Nonidentical Inputs [J].
Han, Yujuan ;
Lu, Wenlian ;
Chen, Tianping .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (04) :566-578
[10]   Agreement over random networks [J].
Hatano, Y ;
Mesbahi, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (11) :1867-1872
123