A new approach to the stability analysis of continuous-time distributed consensus algorithms

被引：9
|
作者：
Liu, Bo [1 ,2 ]
Lu, Wenlian [3 ,4 ]
Chen, Tianping [5 ]
机构：
[1] Fudan Univ, Key Lab Nonlinear Math Sci, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Univ Tokyo, Inst Ind Sci, Meguro Ku, Tokyo 1538505, Japan
[3] Fudan Univ, Ctr Computat Syst Biol, Sch Math Sci, Shanghai 200433, Peoples R China
[4] Fudan Univ, Lab Math Nonlinear Sci, Sch Math Sci, Shanghai 200433, Peoples R China
[5] Fudan Univ, Sch Comp Sci, Key Lab Nonlinear Math Sci, Sch Math Sci, Shanghai 200433, Peoples R China
来源：
NEURAL NETWORKS | 2013年 / 46卷
基金：
中国博士后科学基金;
关键词：
Distributed algorithms; Multiagent systems; Consensus; Discontinuous; Switching; Almost sure convergence; SWITCHING TOPOLOGIES; SUFFICIENT CONDITION; NETWORKS; SYNCHRONIZATION; AGENTS;
D O I：
10.1016/j.neunet.2013.06.007
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this letter, we propose a new approach for the stability analysis of distributed continuous-time consensus algorithms in directed networks with time-dependent communication patterns. Instead of using a continuous-time Lyapunov function, we show how to analyze such a continuous-time algorithm by converting it to a discrete-time model. By using this method, we obtain a more general convergence result than existing ones. An example with numerical simulation is also provided to illustrate the theoretical results. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：242 / 248
页数：7
相关论文
共 50 条
  • [1] Stability of continuous-time distributed consensus algorithms
    Moreau, L
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3998 - 4003
  • [2] Stability of continuous-time consensus algorithms for switching networks with bidirectional interaction.
    Matveev, Alexey S.
    Novinitsyn, Igor
    Proskurnikov, Anton V.
    2013 EUROPEAN CONTROL CONFERENCE (ECC), 2013, : 1872 - 1877
  • [3] Delay Robustness of Consensus Algorithms: Continuous-Time Theory
    Proskurnikov, Anton V.
    Calafiore, Giuseppe Carlo
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (09) : 5301 - 5316
  • [4] A New Approach For Stability Analysis Of Time-Dependent Switched Continuous-Time Linear Systems
    Xiang, Weiming
    Xiao, Jian
    Han, Lu
    ASIAN JOURNAL OF CONTROL, 2014, 16 (02) : 461 - 468
  • [5] Event-Triggered Consensus for Continuous-Time Distributed Estimation
    Perez-Salesa, Irene
    Aldana-Lopez, Rodrigo
    Sagues, Carlos
    IFAC PAPERSONLINE, 2023, 56 (02): : 5993 - 5998
  • [6] A new approach to the analysis of linear continuous-time systems
    Kaczorek, Tadeusz
    2023 27TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS, MMAR, 2023, : 1 - 4
  • [7] Analysis of Cluster Consensus in Continuous-Time Networks
    Develer, Umit
    Akar, Mehmet
    2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 448 - 453
  • [8] Continuous-Time Distributed Algorithms for Solving Linear Algebraic Equation
    Cao, Kai
    Zeng, Xianlin
    Hong, Yiguang
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 8068 - 8073
  • [9] A new stability approach of fuzzy switched continuous-time nonlinear systems
    Aoun, Nawel
    Kermani, Marwen
    Sakly, Anis
    2016 INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT), 2016, : 779 - 784
  • [10] A Continuous-Time Analysis of Distributed Stochastic Gradient
    Boffi, Nicholas M.
    Slotine, Jean-Jacques E.
    NEURAL COMPUTATION, 2020, 32 (01) : 36 - 96
12345