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We study a multi-agent resilient consensus problem, where some agents are of the Byzantine type and try to prevent the normal ones from reaching consensus. In our setting, normal agents communicate with each other asynchronously over…

Multiagent Systems · Computer Science 2024-03-13 Liwei Yuan , Hideaki Ishii

Average consensus is fundamental for distributed systems since it underpins key functionalities of such systems ranging from distributed information fusion, decision-making, to decentralized control. In order to reach an agreement, existing…

Systems and Control · Computer Science 2017-09-21 Minghao Ruan , Muaz Ahmad , Yongqiang Wang

In this paper, we propose an asynchronous distributed algorithm for the computation of generalized Nash equilibria in noncooperative games, where the players interact via an undirected communication graph. Specifically, we extend the paper…

Computer Science and Game Theory · Computer Science 2024-12-20 Carlo Cenedese , Giuseppe Belgioioso , Sergio Grammatico , Ming Cao

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

We consider a multi agent optimization problem where a set of agents collectively solves a global optimization problem with the objective function given by the sum of locally known convex functions. We focus on the case when information…

Optimization and Control · Mathematics 2016-03-14 Ali Makhdoumi , Asuman Ozdaglar

Consensus is a common method for computing a function of the data distributed among the nodes of a network. Of particular interest is distributed average consensus, whereby the nodes iteratively compute the sample average of the data stored…

Information Theory · Computer Science 2021-12-06 Ryan Pilgrim

We propose a model of network formation based on reinforcement learning, which can be seen as a generalization as the one proposed by Skyrms for signaling games. On a discrete graph, whose vertices represent individuals, at any time step…

Probability · Mathematics 2016-02-08 Daniel Kious , Pierre Tarrès

In this paper, we address the distributed average consensus problem over directed networks in open multi-agent systems (OMAS), where the stability of the network is disrupted by frequent agent arrivals and departures, leading to a…

We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the minimization problem is smooth and strongly convex, our…

Optimization and Control · Mathematics 2023-09-21 Kiran Rokade , Rachel Kalpana Kalaimani

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 paper, we investigate the consensus problem of second-order multiagent systems under directed graphs. Simple yet robust consensus algorithms that advance existing achievements in accounting for velocity and input constraints, agent…

Systems and Control · Electrical Eng. & Systems 2023-03-02 Gang Wang , Zongyu Zuo , Chaoli Wang

In this paper, we consider coordinated movement of a network of vehicles consisting of a bounded number of malicious agents, that is, vehicles must reach consensus in longitudinal position and a common predefined velocity. The motions of…

Multiagent Systems · Computer Science 2021-07-30 Mostafa Safi , Seyed Mehran Dibaji , Mohammad Pirani

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

Optimization and Control · Mathematics 2020-07-15 Jineng Ren , Jarvis Haupt

We study the convergence of message passing graph neural networks on random graph models to their continuous counterpart as the number of nodes tends to infinity. Until now, this convergence was only known for architectures with aggregation…

Machine Learning · Statistics 2025-02-13 Matthieu Cordonnier , Nicolas Keriven , Nicolas Tremblay , Samuel Vaiter

We study the distributed average consensus problem in multi-agent systems with directed communication links that are subject to quantized information flow. The goal of distributed average consensus is for the nodes, each associated with…

Systems and Control · Electrical Eng. & Systems 2019-07-26 Apostolos I. Rikos , Christoforos N. Hadjicostis

We conjecture that the distribution of the edge-disjoint union of two random regular graphs on the same vertex set is asymptotically equivalent to a random regular graph of the combined degree, provided it grows as the number of vertices…

Combinatorics · Mathematics 2024-07-29 Mikhail Isaev , Brendan D. McKay , Angus Southwell , Maksim Zhukovskii

In this chapter we look at one of the canonical driving examples for multi-agent systems: average consensus. In this scenario, a group of agents seek to agree on the average of their initial states. Depending on the particular application,…

Optimization and Control · Mathematics 2016-09-23 Cameron Nowzari , Jorge Cortes , George J. Pappas

The paper proposes an intermittent communication mechanism for the tracking consensus of high-order nonlinear multi-agent systems (MASs) surrounded by random disturbances. Each collaborating agent is described by a class of high-order…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Azarbahram

We present DMaC, a novel distributed, finite-time algorithm that guarantees max-consensus in directed networks with unreliable communication links experiencing packet drops. Unlike existing methods, DMaC ensures all nodes compute the exact…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Apostolos I. Rikos , Jiaqi Hu , Themistoklis Charalambous , Karl Henrik Johannson

We tackle the problem of a set of agents achieving resilient consensus in the presence of attacked agents. We present a discrete-time reputation-based consensus algorithm for synchronous and asynchronous networks by developing a local…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Guilherme Ramos , Daniel Silvestre , Carlos Silvestre