Behaviors of networks with antagonistic interactions and switching topologies

doi:10.1016/j.automatica.2016.06.022

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	Behaviors of networks with antagonistic interactions and switching topologies
	Meng, Ziyang 1; Shi, Guodong 2; Johansson, Karl H.3,4; Cao, Ming 5; Hong, Yiguang6
	2016-11-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	73 页码:110-116
摘要	In this paper, we study the discrete-time consensus problem over networks with antagonistic and cooperative interactions. A cooperative interaction between two nodes takes place when one node receives the true state of the other while an antagonistic interaction happens when the former receives the opposite of the true state of the latter. We adopt a quite general model where the node communications can be either unidirectional or bidirectional, the network topology graph may vary over time, and the cooperative or antagonistic relations can be time-varying. It is proven that, the limits of all the node states exist, and the absolute values of the node states reach consensus if the switching interaction graph is uniformly jointly strongly connected for unidirectional topologies, or infinitely jointly connected for bidirectional topologies. These results are independent of the switching of the interaction relations. We construct a counterexample to indicate a rather surprising fact that quasi-strong connectivity of the interaction graph, i.e., the graph contains a directed spanning tree, is not sufficient to guarantee the consensus in absolute values even under fixed topologies. Based on these results, we also propose sufficient conditions for bipartite consensus to be achieved over the network with joint connectivity. Finally, simulation results using a discrete-time Kuramoto model are given to illustrate the convergence results showing that the proposed framework is applicable to a class of networks with general nonlinear dynamics. (C) 2016 Elsevier Ltd. All rights reserved.
关键词	Network behavior Antagonistic interactions Switching topologies
DOI	10.1016/j.automatica.2016.06.022
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000385327900014
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23768
专题	系统科学研究所
通讯作者	Meng, Ziyang
作者单位	1.Tsinghua Univ, Dept Precis Instrument, State Key Lab Precis Measurement Technol & Instru, Beijing 100084, Peoples R China 2.Australian Natl Univ, Coll Engn & Comp Sci, Canberra, ACT, Australia 3.Royal Inst Technol, ACCESS Linnaeus Ctr & Sch Elect Engn, Stockholm, Sweden 4.Royal Inst Technol, Sch Elect Engn, Stockholm, Sweden 5.Univ Groningen, Engn & Technol Inst, NL-9700 AB Groningen, Netherlands 6.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Meng, Ziyang,Shi, Guodong,Johansson, Karl H.,et al. Behaviors of networks with antagonistic interactions and switching topologies[J]. AUTOMATICA,2016,73:110-116.
APA	Meng, Ziyang,Shi, Guodong,Johansson, Karl H.,Cao, Ming,&Hong, Yiguang.(2016).Behaviors of networks with antagonistic interactions and switching topologies.AUTOMATICA,73,110-116.
MLA	Meng, Ziyang,et al."Behaviors of networks with antagonistic interactions and switching topologies".AUTOMATICA 73(2016):110-116.