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This paper investigates the consensus problem in almost sure sense for uncertain multi-agent systems with noises and fixed topology. By combining the tools of stochastic analysis, algebraic graph theory, and matrix theory, we analyze the…

Adaptation and Self-Organizing Systems · Physics 2012-06-06 Radha F. Gupta , Poom Kumam

This paper introduces some tools from graph theory and distributed consensus algorithms to construct an optimal, yet robust, hierarchical information sharing structure for large-scale decision making and control problems. The proposed…

Systems and Control · Computer Science 2012-08-16 Amir Noori

Building consensus sequences based on distributed, fault-tolerant consensus, as used for replicated state machines, typically requires a separate distributed state for every new consensus instance. Allocating and maintaining this state…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-02 Jan Skrzypczak , Florian Schintke , Thorsten Schütt

We present two new consensus algorithms for dynamic networks. The first, Fast Raft, is a variation on the Raft consensus algorithm that reduces the number of message rounds in typical operation. Fast Raft is ideal for fast-paced distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-29 Timothy Castiglia , Colin Goldberg , Stacy Patterson

ADMM is a popular algorithm for solving convex optimization problems. Applying this algorithm to distributed consensus optimization problem results in a fully distributed iterative solution which relies on processing at the nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-17 Layla Majzoobi , Farshad Lahouti

This work studies resilient leader-follower consensus with a bounded number of adversaries. Existing approaches typically require robustness conditions of the entire network to guarantee resilient consensus. However, the behavior of such…

Multiagent Systems · Computer Science 2026-03-17 Haejoon Lee , Dimitra Panagou

This document describes a new consensus algorithm which is asynchronous and uses gossip based message dissemination between nodes. The current version of the algorithm does not cover the case of a node failure or significantly delayed…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-23 Maxim Zakharov

In this paper, we study the problem of achieving average consensus over a random time-varying sequence of directed graphs by extending the class of so-called push-sum algorithms to such random scenarios. Provided that an ergodicity notion,…

Optimization and Control · Mathematics 2020-01-01 Pouya Rezaeinia , Bahman Gharesifard , Tamas Linder , Behrouz Touri

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

Optimization and Control · Mathematics 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

This paper proposes a new approach to analyze and design distributed robust consensus control protocols for general linear leaderless multi-agent systems (MASs) in presence of relative-state constraints or uncertainties. First, we show that…

Optimization and Control · Mathematics 2016-05-13 Dinh Hoa Nguyen , Tatsuo Narikiyo , Michihiro Kawanishi

In this paper, we hope to bring closer graph theory and consensus algorithms. Firstly, we give a brief introduction to graph theory by listing a concise definition. Then we analyze and visualize some commonly used graphs. Secondly, we…

Discrete Mathematics · Computer Science 2021-01-27 Shen Zheng

Aggregation is an important building block of modern distributed applications, allowing the determination of meaningful properties (e.g. network size, total storage capacity, average load, majorities, etc.) that are used to direct the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-12-01 Paulo Jesus , Carlos Baquero , Paulo Sérgio Almeida

We address the problem of distributed state estimation of a linear dynamical process in an attack-prone environment. Recent attempts to solve this problem impose stringent redundancy requirements on the measurement and communication…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Aritra Mitra , Faiq Ghawash , Shreyas Sundaram , Waseem Abbas

Consensus algorithms provide strategies to solve problems in a distributed system with the added constraint that data can only be shared between adjacent computing nodes. We find these algorithms in applications for wireless and sensor…

Cryptography and Security · Computer Science 2016-11-15 Michel Toulouse , Hai Le , Cao Vien Phung , Denis Hock

Consensus of autonomous agents is a benchmark problem in multi-agent control. In this paper, we consider continuous-time averaging consensus policies (or Laplacian flows) and their discrete-time counterparts over time-varying graphs in…

Optimization and Control · Mathematics 2021-05-18 Anton V. Proskurnikov , Giuseppe Carlo Calafiore

In this paper, we study distributed consensus in synchronous systems subject to both unexpected crash failures and strategic manipulations by rational agents in the system. We adapt the concept of collusion-resistant Nash equilibrium to…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-07 Xiaohui Bei , Wei Chen , Jialin Zhang

This paper considers the distributed consensus problem of linear multi-agent systems subject to different matching uncertainties for both the cases without and with a leader of bounded unknown control input. Due to the existence of…

Optimization and Control · Mathematics 2013-12-31 Zhongkui Li , Zhisheng Duan , Frank Lewis

This paper considers a resilient high-dimensional constrained consensus problem and studies a resilient distributed algorithm for complete graphs. For convex constrained sets with a singleton intersection, a sufficient condition on…

Systems and Control · Electrical Eng. & Systems 2022-03-29 Jingxuan Zhu , Yixuan Lin , Alvaro Velasquez , Ji Liu

In this paper, we formulate and investigate a generalized consensus algorithm which makes an attempt to unify distributed averaging and maximizing algorithms considered in the literature. Each node iteratively updates its state as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-06 Guodong Shi , Karl Henrik Johansson

Recently a new fault tolerant and simple mechanism was designed for solving commit consensus problem. It is based on replicated validation of messages sent between transaction participants and a special dispatcher validator manager node.…

Databases · Computer Science 2017-06-13 Marius Rafailescu
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