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Convergence Rate for Discrete-Time Multiagent Systems With Time-Varying Delays and General Coupling Coefficients
Chen, Yao1; Ho, Daniel W. C.2; Lu, Jinhu3; Lin, Zongli4
2016
Source PublicationIEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
ISSN2162-237X
Volume27Issue:1Pages:178-189
AbstractMultiagent systems (MASs) are ubiquitous in our real world. There is an increasing attention focusing on the consensus (or synchronization) problem of MASs over the past decade. Although there are numerous results reported on the convergence of a discrete-time MAS based on the infinite products of matrices, few results are on the convergence rate. Because of the switching topology, the traditional eigenvalue analysis and the Lyapunov function methods are both invalid for the convergence rate analysis of an MAS with a switching topology. Therefore, the estimation of the convergence rate for a discrete-time MAS with time-varying delays remains a difficult problem. To overcome the essential difficulty of switching topology, this paper aims at developing a contractive-set approach to analyze the convergence rate of a discrete-time MAS in the presence of time-varying delays and generalized coupling coefficients. Using the proposed approach, we obtain an upper bound of the convergence rate under the condition of joint connectivity. In particular, the proposed method neither requires the nonnegative property of the coupling coefficients nor the basic assumption of a uniform lower bound for all positive coupling coefficients, which have been widely applied in the existing works on this topic. As an application of the main results, we will show that the classical Vicsek model with time delays can realize synchronization if the initial topology is connected.
KeywordConvergence rate joint connectivity multiagent systems (MASs) negative coupling coefficients spanning tree
DOI10.1109/TNNLS.2015.2473690
Language英语
Funding ProjectNational Science and Technology Major Project of China[2014ZX10004001-014] ; 973 Project[2014CB845302] ; National Natural Science Foundation of China[61304157] ; National Natural Science Foundation of China[61532020] ; National Natural Science Foundation of China[61273105]
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS IDWOS:000367253200015
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation statistics
Cited Times:17[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21613
Collection系统科学研究所
Affiliation1.Hong Kong Polytech Univ, Dept Comp, Hong Kong, Hong Kong, Peoples R China
2.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
4.Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
Recommended Citation
GB/T 7714
Chen, Yao,Ho, Daniel W. C.,Lu, Jinhu,et al. Convergence Rate for Discrete-Time Multiagent Systems With Time-Varying Delays and General Coupling Coefficients[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2016,27(1):178-189.
APA Chen, Yao,Ho, Daniel W. C.,Lu, Jinhu,&Lin, Zongli.(2016).Convergence Rate for Discrete-Time Multiagent Systems With Time-Varying Delays and General Coupling Coefficients.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,27(1),178-189.
MLA Chen, Yao,et al."Convergence Rate for Discrete-Time Multiagent Systems With Time-Varying Delays and General Coupling Coefficients".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 27.1(2016):178-189.
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