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We consider the convergence time for solving the binary consensus problem using the interval consensus algorithm proposed by B\' en\' ezit, Thiran and Vetterli (2009). In the binary consensus problem, each node initially holds one of two…

Probability · Mathematics 2012-02-07 Moez Draief , Milan Vojnovic

With the development of machine learning and Big Data, the concepts of linear and non-linear optimization techniques are becoming increasingly valuable for many quantitative disciplines. Problems of that nature are typically solved using…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-21 Wiktor Maj

In this paper, we address the average consensus problem of multi-agent systems for possibly unbalanced and delay-prone networks with directional information flow. We propose a linear distributed algorithm (referred to as RPPAC) that handles…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Evagoras Makridis , Themistoklis Charalambous

We consider a multi-agent system where each agent has its own estimate of a given quantity and the goal is to reach consensus on the average. To this purpose, we propose a distributed consensus algorithm that guarantees convergence to the…

Optimization and Control · Mathematics 2016-08-31 Alessandro Falsone , Kostas Margellos , Simone Garatti , Maria Prandini

Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or fixed step-sizes that depend on an assumed upper bound of delays. Not only is such a delay bound hard to…

Optimization and Control · Mathematics 2023-08-24 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

We consider a convex unconstrained optimization problem that arises in a network of agents whose goal is to cooperatively optimize the sum of the individual agent objective functions through local computations and communications. For this…

Optimization and Control · Mathematics 2008-03-11 Angelia Nedić , Alex Olshevsky , Asuman Ozdaglar , John N. Tsitsiklis

We analyze a class of distributed quantized consen- sus algorithms for arbitrary networks. In the initial setting, each node in the network has an integer value. Nodes exchange their current estimate of the mean value in the network, and…

Applications · Statistics 2013-05-21 Shang Shang , Paul W. Cuff , Pan Hui , Sanjeev R. Kulkarni

Classical approaches for asymptotic convergence to the global average in a distributed fashion typically assume timely and reliable exchange of information between neighboring components of a given multi-component system. These assumptions…

Multiagent Systems · Computer Science 2013-02-25 Christoforos N. Hadjicostis , Themistoklis Charalambous

In this paper we focus on the distributed quantized average consensus problem in open multi-agent systems consisting of dynamic directed communication links among active nodes. We propose three communication-efficient distributed algorithms…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Jiaqi Hu , Karl H. Johansson , Apostolos I. Rikos

Classical distributed estimation scenarios typically assume timely and reliable exchanges of information over the sensor network. This paper, in contrast, considers single time-scale distributed estimation via a sensor network subject to…

Systems and Control · Electrical Eng. & Systems 2021-09-08 Mohammadreza Doostmohammadian , Usman A. Khan , Mohammad Pirani , Themistoklis Charalambous

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

In this study, we analyzed the problem of accelerating the linear average consensus algorithm for complex networks. We propose a data-driven approach to tuning the weights of temporal (i.e., time-varying) networks using deep learning…

Optimization and Control · Mathematics 2023-08-29 Masako Kishida , Masaki Ogura , Yuichi Yoshida , Tadashi Wadayama

Considering some predictive mechanisms, we show that ultrafast average-consensus can be achieved in networks of interconnected agents. More specifically, by predicting the dynamics of the network several steps ahead and using this…

Data Analysis, Statistics and Probability · Physics 2007-12-06 Hai-Tao Zhang , Guy-Bart Stan , Michael ZhiQiang Chen , Jan M. Maciejowski , Tao Zhou

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

Reaching consensus among states of a multi-agent system is a key requirement for many distributed control/optimization problems. Such a consensus is often achieved using the standard Laplacian matrix (for continuous system) or Perron matrix…

Systems and Control · Computer Science 2017-07-25 Zheming Wang , Chong Jin Ong

We introduce a new class of distributed algorithms for the approximate consensus problem in dynamic rooted networks, which we call amortized averaging algorithms. They are deduced from ordinary averaging algorithms by adding a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-15 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

Recently a distributed algorithm has been proposed for multi-agent networks to solve a system of linear algebraic equations, by assuming each agent only knows part of the system and is able to communicate with nearest neighbors to update…

Optimization and Control · Mathematics 2016-03-15 Hong-Tai Cao , Travis E. Gibson , Shaoshuai Mou , Yang-Yu Liu

In this paper we study the distributed average consensus problem in multi-agent systems with directed communication links that are subject to quantized information flow. Specifically, we present and analyze a distributed averaging algorithm…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

Distributed consensus algorithm over networks of quantum systems has been the focus of recent studies in the context of quantum computing and distributed control. Most of the progress in this category have been on the convergence conditions…

Systems and Control · Computer Science 2016-05-24 Saber Jafarizadeh

We study distributed computation in synchronous dynamic networks where an omniscient adversary controls the unidirectional communication links. Its behavior is modeled as a sequence of directed graphs representing the active (i.e. timely)…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Martin Biely , Peter Robinson , Ulrich Schmid