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We have recently proposed quantized gossip algorithms which solve the consensus and averaging problems on directed graphs with the least restrictive connectivity requirements. In this paper we study the convergence time of these algorithms.…

Systems and Control · Computer Science 2011-11-10 Kai Cai , Hideaki Ishii

Motivated by the needs of resiliency, scalability, and plug-and-play operation, distributed decision-making is becoming increasingly prevalent. The problem of achieving consensus in a multi-agent system is at the core of distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-21 Vivek Khatana , Murti V. Salapaka

In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

We investigate the use of network coding for information dissemination over a wireless network. Using network coding allows for a simple, distributed and robust algorithm where nodes do not need any information from their neighbors. In this…

Information Theory · Computer Science 2016-11-18 Mohammad Hamed Firooz , Sumit Roy

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Existing works on distributed consensus explore linear iterations based on reversible Markov chains, which contribute to the slow convergence of the algorithms. It has been observed that by overcoming the diffusive behavior of reversible…

Information Theory · Computer Science 2016-11-18 Wenjun Li , Yanbing Zhang , Huaiyu Dai

Given a network of fixed size $n$ and an initial distribution of data, we derive sufficient connectivity conditions on a sequence of time-varying digraphs for (a) data collection and (b) data dissemination, within at most $(n-1)$…

Systems and Control · Computer Science 2016-05-03 Kevin Topley

In many applications, it becomes necessary for a set of distributed network nodes to agree on a common value or opinion as quickly as possible and with minimal communication overhead. The classical 2-choices rule is a well-known distributed…

Probability · Mathematics 2026-01-14 Luke Meredith , Arpan Mukhopadhyay

This paper examines the consensus problem on time-varying matrix-weighed undirected networks. First, we introduce the matrix-weighted integral network for the analysis of such networks. Under mild assumptions on the switching pattern of the…

Systems and Control · Electrical Eng. & Systems 2020-01-31 Lulu Pan , Haibin Shao , Mehran Mesbahi , Yugeng Xi , Dewei Li

Node counting on a graph is subject to some fundamental theoretical limitations, yet a solution to such problems is necessary in many applications of graph theory to real-world systems, such as collective robotics and distributed sensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Arindam Saha , James A. R. Marshall , Andreagiovanni Reina

We propose a distributed algorithm for time synchronization in mobile wireless sensor networks. Each node can employ the algorithm to estimate the global time based on its local clock time. The problem of time synchronization is formulated…

Systems and Control · Computer Science 2014-12-30 Chenda Liao , Prabir Barooah

We analyze the effect of interference on the convergence rate of average consensus algorithms, which iteratively compute the measurement average by message passing among nodes. It is usually assumed that these algorithms converge faster…

Information Theory · Computer Science 2015-05-20 Sundaram Vanka , Martin Haenggi , Vijay Gupta

This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear dynamics. Two distributed adaptive dynamic consensus protocols are proposed, based on the relative output information of…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Xiangdong Liu , Wei Ren , Lihua Xie

In this paper, we investigate the approximate consensus problem in highly dynamic networks in which topology may change continually and unpredictably. We prove that in both synchronous and partially synchronous systems, approximate…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-13 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

This paper explores the fundamental properties of distributed minimization of a sum of functions with each function only known to one node, and a pre-specified level of node knowledge and computational capacity. We define the optimization…

Systems and Control · Computer Science 2012-10-26 Guodong Shi , Alexandre Proutiere , Karl Henrik Johansson

In this brief paper, a new consensus protocol based on the sign of innovations is proposed. Based on this protocol each agent only requires single-bit of information about its relative state to its neighboring agents. This is significant in…

Systems and Control · Electrical Eng. & Systems 2020-01-03 Mohammadreza Doostmohammadian

In a sensor network, in practice, the communication among sensors is subject to:(1) errors or failures at random times; (3) costs; and(2) constraints since sensors and networks operate under scarce resources, such as power, data rate, or…

Information Theory · Computer Science 2009-11-13 Soummya Kar , Jose M. F. Moura

Consider a network whose nodes have some initial values, and it is desired to design an algorithm that builds on neighbor to neighbor interactions with the ultimate goal of convergence to the average of all initial node values or to some…

Optimization and Control · Mathematics 2014-09-16 Mahmoud El Chamie , Ji Liu , Tamer Başar

This paper presents new classes of consensus protocols with fixed-time convergence, which enable the definition of an upper bound for consensus state as a parameter of the consensus protocol, ensuring its independence from the initial…

Optimization and Control · Mathematics 2019-12-05 R. Aldana-López , D. Gómez-Gutiérrez , E. Jiménez-Rodríguez , J. D. Sánchez-Torres , A. G. Loukianov

Average consensus algorithms have wide applications in distributed computing systems where all the nodes agree on the average value of their initial states by only exchanging information with their local neighbors. In this letter, we look…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-24 Zheng Chen , Erik G. Larsson