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This article studies distributed event-triggered consensus over unreliable communication channels. Communication is unreliable in the sense that the broadcast channel from one agent to its neighbors can drop the event-triggered packets of…

Optimization and Control · Mathematics 2015-11-25 Eloy Garcia , Yongcan Cao , David W. Casbeer

This paper extends the definitions of effective resistance and effective conductance to characterize the overall relation (positive coupling or antagonism) between any two disjoint sets of nodes in a signed graph. It generalizes the…

Optimization and Control · Mathematics 2019-07-19 Yue Song , David J. Hill , Tao Liu

We study a simple random process in which vertices of a connected graph reach consensus through pairwise interactions. We compute outcome probabilities, which do not depend on the graph structure, and consider the expected time until a…

Probability · Mathematics 2020-08-12 John Haslegrave , Mate Puljiz

We study how far a diffusion process on a graph can deviate from a designed starting pattern when the pattern is generated via Laplacian regularisation. Under standard stability conditions for undirected, entrywise nonnegative graphs, we…

Signal Processing · Electrical Eng. & Systems 2026-01-08 Ardavan Rahimian

This paper considers the resilient multi-dimensional consensus problem in networked systems, where some of the agents might be malicious (or faulty). We propose a multi-dimensional consensus algorithm, where at each time step each healthy…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Jiaqi Yan , Yilin Mo , Xiuxian Li , Changyun Wen

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

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

The dynamics of an agreement protocol interacting with a disagreement process over a common random network is considered. The model can represent the spreading of true and false information over a communication network, the propagation of…

Social and Information Networks · Computer Science 2012-08-17 Guodong Shi , Mikael Johansson , Karl Henrik Johansson

We study a graph-theoretic approach to the $\mathcal{H}_{\infty}$ performance of leader following consensus dynamics on directed and undirected graphs. We first provide graph-theoretic bounds on the system $\mathcal{H}_{\infty}$ norm of the…

Optimization and Control · Mathematics 2018-04-30 Mohammad Pirani , Henrik Sandberg , Karl Henrik Johansson

This paper proposes a distributed algorithm for average consensus in a multi-agent system under a fixed bidirectional communication topology, in the presence of malicious agents (nodes) that may try to influence the average consensus…

Multiagent Systems · Computer Science 2023-09-06 Christoforos N. Hadjicostis , Alejandro D. Dominguez-Garcia

In this paper we investigate the reachability and observability properties of a network system, running a Laplacian based average consensus algorithm, when the communication graph is a path or a cycle. More in detail, we provide necessary…

Optimization and Control · Mathematics 2015-03-19 Gianfranco Parlangeli , Giuseppe Notarstefano

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

In this work we study the problem of unconstrained convex-optimization in a fully distributed multi-agent setting which includes asynchronous computation and lossy communication. In particular, we extend a recently proposed algorithm named…

Optimization and Control · Mathematics 2017-07-31 Nicoletta Bof , Ruggero Carli , Giuseppe Notarstefano , Luca Schenato , Damiano Varagnolo

The shift from monolithic LLMs to distributed multi-agent architectures demands new frameworks for verifying and securing autonomous coordination. Unlike traditional multi-agent systems focused on cooperative state alignment, modern LLM…

Multiagent Systems · Computer Science 2026-03-06 Muhammad Umar Javed

This paper studies a generalization of the standard continuous-time consensus protocol, obtained by replacing the Laplacian matrix of the communication graph with the so-called deformed Laplacian. The deformed Laplacian is a second-degree…

Systems and Control · Computer Science 2013-06-14 Fabio Morbidi

Extended connectivity in graphs can be analyzed through k-path Laplacian matrices, which permit the capture of long-range interactions in various real-world networked systems such as social, transportation, and multi-agent networks. In this…

Social and Information Networks · Computer Science 2025-04-10 Yusef Ahsini , Belén Reverte , J. Alberto Conejero

In this technical note, we study the controllability of diffusively coupled networks from a graph theoretic perspective. We consider leader-follower networks, where the external control inputs are injected to only some of the agents, namely…

Systems and Control · Computer Science 2016-08-17 A. Yasin Yazicioglu , Waseem Abbas , Magnus Egerstedt

In this paper, the question of expected time to convergence is addressed for unbiased quantized consensus on undirected connected graphs, and some strong results are obtained. The paper first provides a tight expression for the expected…

Systems and Control · Computer Science 2016-11-18 Seyed Rasoul Etesami , Tamer Basar

Distributed consensus has been intensively studied in recent years as a means to mitigate state differences among dynamic nodes on a graph. It has been successfully employed in various applications, e.g., formation control of multi-robots,…

Systems and Control · Computer Science 2017-05-09 Yinyan Zhang , Shuai Li

In this paper, we study the continuous-time consensus problem in the presence of adversaries. The networked multi-agent system is modeled as a switched system, where the normal agents have integrator dynamics and the switching signal…

Systems and Control · Computer Science 2013-03-13 Heath J. LeBlanc , Haotian Zhang , Shreyas Sundaram , Xenofon Koutsoukos