Performance Analysis of Discrete-Time Average Consensus under Uniform Constant Time Delays

被引：4
|
作者：
Zhao, Chengcheng [1 ]
He, Jianping [2 ]
Cheng, Peng [1 ]
Chen, Jiming [1 ]
机构：
[1] Zhejiang Univ, State Key Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
来源：
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
关键词：
Average consensus; uniform time delays; convergence rate; stability; final value; MULTIAGENT SYSTEMS; VARYING DELAYS; CONVERGENCE; NETWORKS; AGENTS; SYNCHRONIZATION; COORDINATION; TOPOLOGIES;
D O I：
10.1016/j.ifacol.2017.08.1945
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 paper, considering discrete-time average consensus with uniform constant time delays, we focus on the stability, the final consensus value and the convergence rate. Specifically, it is proven that average consensus is robust to time delays via a matrix theory-based approach. Then, the deviation of the final value from the average of the initial states is expressed explicitly. It is found that average consensus is only preserved in some special topologies, i.e., regular graphs. Finally, for the regular graph, it is proven that the convergence rate of average consensus decreases with time delays by comparing the second largest eigenvalues modulus (SLEM) of the update matrices. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：11725 / 11730
页数：6
相关论文
共 50 条
  • [21] Stability analysis of discrete-time fuzzy positive systems with time delays
    Wu, Yang
    Luo, Heng
    Zhang, Hongbin
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 25 (04) : 893 - 905
  • [22] Consensus protocols for discrete-time multi-agent systems with time-varying delays
    Xiao, Feng
    Wang, Long
    [J]. AUTOMATICA, 2008, 44 (10) : 2577 - 2582
  • [23] Stability analysis of discrete-time coupled systems with delays
    Chen, Si
    Liu, Xingwen
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (14): : 9942 - 9959
  • [24] Consensus of Linear Discrete-Time Connected Autonomous Vehicle Systems With Time Delays and Multiplicative Noise
    Liu, Guangming
    Liu, Yonggui
    Xie, Xuhuan
    [J]. IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS, 2024, 25 (05) : 3523 - 3534
  • [25] Group consensus control for discrete-time heterogeneous multi-agent systems with time delays
    Tan, Chong
    Yue, Liang
    Li, Yanjiang
    Liu, Guo-Ping
    [J]. Tan, Chong (tc20021671@126.com), 1600, Elsevier B.V., Netherlands (392): : 70 - 85
  • [26] Consensus of discrete-time multi-agent systems with unbounded time-varying delays
    Zong, Siheng
    Tian, Yu-Ping
    [J]. PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 4924 - 4929
  • [27] Consensus of first-order discrete-time multi-agent systems with time delays
    Li, Xu
    Liu, Jian-Chang
    Li, Xu-Guang
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (10): : 5315 - 5331
  • [28] Stability analysis of discrete-time systems with constrained delays
    Chen, Zumei
    Liu, Xingwen
    Cao, Mengtao
    [J]. 2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC, 2023, : 2194 - 2199
  • [29] Average dwell-time conditions for consensus of discrete-time multi-agent systems
    Ge, Yan-Rong
    Chen, Yang-Zhou
    Zhang, Ya-Xiao
    Guo, Chuang
    [J]. Kongzhi yu Juece/Control and Decision, 2014, 29 (10): : 1871 - 1875
  • [30] Performance and robustness of discrete and finite time average consensus algorithms
    Faramondi, Luca
    Setola, Roberto
    Oliva, Gabriele
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (12) : 2704 - 2724
12345