On the estimation of the consensus rate of convergence in graphs with persistent interconnections

Chowdhury Nilanjan Roy; Sukumar Srikant; Maghenem Mohamed; Loria Antonio

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On the estimation of the consensus rate of convergence in graphs with persistent interconnections

机译：持久互连图中收敛率的估算

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摘要

The aim of the current article is to establish myriad convergence rate estimates to consensus for time-varying graphs with persistent interaction. Several novel analysis methodologies for consensus protocols employing the notions of persistence of excitation and Lyapunov functions are provided. The estimates are compared with each other and existing literature. Numerical simulations on test examples are illustrated to support the theoretical findings.

机译：目前物品的目的是建立无数的收敛率估计，以持续互动的时变图的共识。提供了采用激励持续存在的概念和Lyapunov功能的若干新型分析方法。估计与彼此和现有文献进行比较。说明了测试示例的数值模拟，以支持理论发现。

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来源
《International Journal of Control》 |2018年第3期|共13页
作者
Chowdhury Nilanjan Roy; Sukumar Srikant; Maghenem Mohamed; Loria Antonio;
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作者单位

Indian Inst Technol Dept Syst &

Control Engn Mumbai Maharashtra India;

Indian Inst Technol Dept Syst &

Control Engn Mumbai Maharashtra India;

Univ Paris Sud CNRS SUPELEC LSS Gif Sur Yvette France;

Univ Paris Sud CNRS SUPELEC LSS Gif Sur Yvette France;

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原文格式 PDF
正文语种 eng
中图分类控制论、信息论（数学理论）;自动控制、自动控制系统;
关键词
Consensus; time-varying systems; gradient descent; persistence of excitation; exponential stability;

机译：共识;时变系统;梯度下降;持续激发;指数稳定性;

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专利

1. On the estimation of the consensus rate of convergence in graphs with persistent interconnections [J] . Chowdhury Nilanjan Roy, Sukumar Srikant, Maghenem Mohamed, International Journal of Control . 2018,第1a3期

机译：持久互连图中收敛率的估算
2. Convergence rates of discrete-time stochastic approximation consensus algorithms: Graph-related limit bounds [J] . Tang Huaibin, Li Tao Systems and Control Letters . 2018,第期

机译：离散时间随机近似达成算法的收敛速率：与图形相关的限制界限
3. A note on basic consensus problems in multi-agent systems with switching interconnection graphs [J] . Zhai Guisheng, Huang Chi International Journal of Control . 2015,第1a3期

机译：关于具有交换互连图的多主体系统中基本共识问题的注释
4. Persistent Graphs and Consensus Convergence [C] . Shi Guodong, Johansson Karl H. IEEE Annual Conference on Decision and Control . 2012

机译：持久性图和共识融合
5. Parameter estimation using consensus building strategies with application to sensor networks. [D] . Dasgupta, Kaushani. 2013

机译：使用共识构建策略进行参数估计并应用于传感器网络。
6. Estimation of the relationship between the persistent decrease of the suicide rate and the changes in sociodemographic composition in Hungary between 1990 and 2011 [O] . Lajos Balint, Katalin Fuzer, Xenia Gonda, 2020

机译：1990年至2011年间匈牙利自杀率持续减少与匈牙利社会学成分的关系估计
7. On the estimation of the consensus rate of convergence in graphs with persistent interconnections [O] . Nilanjan Roy Chowdhury, Srikant Sukumar, Mohamed Maghenem, 2017

机译：关于持久互连图中收敛率的估计

On the estimation of the consensus rate of convergence in graphs with persistent interconnections

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