文献类型：期刊文献

英文题名：Signed consensus problems on networks of agents with fixed and switching topologies

作者：Li, Juntao[1];Dong, Wenpeng[1];Xiao, Huimin[2]

第一作者：Li, Juntao

通讯作者：Li, Juntao

机构：[1]Henan Normal Univ, Sch Math & Informat Sci, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Xinxiang, Peoples R China;[2]Henan Univ Econ & Law, Coll Comp & Informat Engn, Zhengzhou, Peoples R China

第一机构：Henan Normal Univ, Sch Math & Informat Sci, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Xinxiang, Peoples R China

年份：2017

卷号：90

期号：2

起止页码：164-176

外文期刊名：INTERNATIONAL JOURNAL OF CONTROL

收录：;EI(收录号：20161702288880);Scopus(收录号：2-s2.0-84963852315);WOS:【SCI-EXPANDED(收录号:WOS:000392605500002)】；

基金：This work was supported by Natural Science Foundation of China [grant number 61203293], [grant number 60850004], [grant number 61374079]; Key Scientific and Technological Project of Henan Province [grant number 122102210131]; Program for Science and Technology Innovation Talents in Universities of Henan Province [grant number 13HASTIT040]; Henan Higher School Funding Scheme for Young Teachers [grant number 2012GGJS-063]; Program for Innovative Research Team (in Science and Technology) in University of Henan Province [grant number 14IRTSTHN023].

语种：英文

外文关键词：Signed consensus; fixed networks; switching networks; distributed protocols; exponential convergence

摘要：This paper deals with signed consensus problems for networks of agents in the presence of both fixed and switching topologies. By specifying signs for the agents, they are divided into two groups and are enabled to reach agreement on a consensus value which is the same in modulus for both groups but not in sign. Using nearest-neighbour interaction rules, we propose the distributed protocols and address their exponential convergence problem. It is shown that the quasi-strong connectivity of fixed networks or joint quasi-strong connectivity of switching networks can provide a necessary and sufficient guarantee for all agents to achieve signed consensus exponentially fast. In particular, the signed consensus results can include as special cases those of bipartite consensus in signed networks with fixed and switching topologies. Numerical simulations are also provided to illustrate the exponential convergence performance of the proposed signed consensus protocols.