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We consider consensus of multi-agent systems as a dual problem to Markov processes. Based on an exchange of relevant notions and results between the two fields, we present a uniform framework which admits the introduction and treatment of…

Probability · Mathematics 2025-12-30 Fatihcan M. Atay

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Multiagent Systems · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

In this note, we discuss the problem of consensus finding in communication networks of agents with dynamically switching topologies. In particular, we consider the case of directed networks with unbalanced matrices of communication rates.…

Optimization and Control · Mathematics 2014-05-06 Jan Haskovec

We investigate consensus formation and the asymptotic consensus times in stylized individual- or agent-based models, in which global agreement is achieved through pairwise negotiations with or without a bias. Considering a class of…

Physics and Society · Physics 2011-06-30 W. Zhang , C. Lim , S. Sreenivasan , J. Xie , B. K. Szymanski , G. Korniss

We study a Cucker-Smale-type system with time delay in which agents interact with each other through normalized communication weights. We construct a Lyapunov functional for the system and provide sufficient conditions for asymptotic…

Analysis of PDEs · Mathematics 2016-08-25 Young-Pil Choi , Jan Haskovec

We extend the analysis developed in [33] in order to prove convergence to consensus results for a Cucker-Smale type model with hierarchical leadership and distributed delay. Flocking estimates are obtained for a general interaction…

Optimization and Control · Mathematics 2018-07-10 Cristina Pignotti , Irene Reche Vallejo

In multi-agent systems, heterogeneous time delays exist for all agents because of the difference in communication environments. Therefore, the consensus analysis of a system considering a homogeneous time-varying delay among all agents…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Hye Jin Lee , Ho Sub Lee , PooGyeon Park

This paper studies asymptotic consensus in systems in which agents do not necessarily have self-confidence, i.e., may disregard their own value during execution of the update rule. We show that the prevalent hypothesis of self-confidence in…

Dynamical Systems · Mathematics 2015-03-27 Thomas Nowak

The consensus model of Krause and Hegselmann can be naturally extended to the case in which opinions are integer instead of real numbers. Our algorithm is much faster than the original version and thus more suitable for applications. For…

Statistical Mechanics · Physics 2009-11-10 Santo Fortunato

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

We study the consensus formation for an agents based model, generalizing that originally proposed by Krause \cite{Kr}, by allowing the communication channels between any couple of agents to be switched on or off randomly, at each time step,…

Social and Information Networks · Computer Science 2026-03-26 Gianfelice Michele , Giuseppe Scola

In this paper, we provide a theoretical analysis for nonlinear discontinuous consensus protocols in networks of multiagents over weighted directed graphs. By integrating the analytic tools from nonsmooth stability analysis and graph theory,…

Optimization and Control · Mathematics 2013-11-26 Liu Bo , Lu Wenlian , Chen Tianping

This paper considers the consensusability of multi-agent systems with delay and packet dropout. By proposing a kind of predictor-like protocol, sufficient and necessary conditions are given for the mean-square consensusability in terms of…

Optimization and Control · Mathematics 2018-04-23 Juanjuan Xu , Huanshui Zhang , Lihua Xie

In this article, we establish orientation and connectivity based criteria for the agreement algorithm to achieve asymptotic consensus in the context of time-varying topology and communication delays. These criteria unify and extend many…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-11 Bernadette Charron-Bost

We study a hydrodynamic Cucker-Smale-type model with time delay in communication and information processing, in which agents interact with each other through normalized communication weights. The model consists of a pressureless Euler…

Analysis of PDEs · Mathematics 2017-07-18 Young-Pil Choi , Jan Haskovec

This work is concerned with stochastic consensus conditions of multi-agent systems with both time-delays and measurement noises. For the case of additive noises, we develop some necessary conditions and sufficient conditions for stochastic…

Systems and Control · Computer Science 2018-04-20 Xiaofeng Zong , Tao Li , Ji-Feng Zhang

A distributed average consensus algorithm robust to a wide range of impulsive channel noise distributions is proposed. This work is the first of its kind in the literature to propose a consensus algorithm which relaxes the requirement of…

Systems and Control · Computer Science 2015-06-22 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

This paper addresses the adaptive consensus problem in uncertain multi-agent systems, particularly under challenges posed by quantized communication. We consider agents with general linear dynamics subject to nonlinear uncertainties and…

Optimization and Control · Mathematics 2025-06-10 Woocheol Choi , Piljae Jang

We analyze Hegselmann-Krause opinion formation models with leadership in presence of time delay effects. In particular, we consider a model with pointwise time variable time delay and a model with a distributed delay. In both cases we show…

Optimization and Control · Mathematics 2023-08-30 Alessandro Paolucci , Cristina Pignotti

This paper establishes analytical stability criteria for robot-mediated human-human (dyadic) interaction systems, focusing on haptic communication under network-induced time delays. Through frequency-domain analysis supported by numerical…

Robotics · Computer Science 2025-10-28 Mingtian Du , Suhas Raghavendra Kulkarni , Simone Kager , Domenico Campolo