Reverse Group Consensus of Multi-Agent Systems in the Cooperation-Competition Network

被引:102
作者
Hu, Hong-xiang [1 ,2 ]
Yu, Wenwu [1 ]
Wen, Guanghui [1 ,3 ]
Xuan, Qi [4 ]
Cao, Jinde [1 ]
机构
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] Hangzhou Dianzi Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
[3] Southeast Univ, Key Lab Measurement & Control Complex Syst Engn, Minist Educ, Nanjing 210096, Jiangsu, Peoples R China
[4] Zhejiang Univ Technol, Coll Informat Engn, Hangzhou 310023, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Condensation undirected graph; cooperation and competition; mirror graph; path balance; reverse group consensus; ANTAGONISTIC INTERACTIONS; 2ND-ORDER CONSENSUS; DYNAMICAL-SYSTEMS; CLUSTER SYNCHRONIZATION; DIRECTED NETWORKS; COMPLEX LAPLACIAN; PINNING CONTROL; TOPOLOGIES; FLOCKING; RATES;
D O I
10.1109/TCSI.2016.2591264
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, a reverse group consensus problem is investigated for the dynamic agents with the inputs in the cooperation-competition network which can be divided into two sub-networks. The weights between the agents in the same sub-network are positive, while the weights between the agents among different sub-networks are negative. Then, the reverse group consensus is firstly studied without the in-degree balance condition. By defining the mirror graph and establishing the solution of the multi-agent system, it is found that the reverse group consensus problem can be achieved if the mirror graph is strongly connected. The explicit expression of the error level is also derived, which would be vanished for multi-agent systems with some special kinds of inputs. Furthermore, as an extension, the decomposing of the cooperation-competition network is discussed, where the concept of the condensation undirected graph and the path balance condition are defined, and several effective sufficient conditions are obtained. Finally, numerical simulation demonstrates the effectiveness of the theoretical analysis.
引用
收藏
页码:2036 / 2047
页数:12
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