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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

We present two main theorems along the lines of Lyapunov's second method that guarantee asymptotic state consensus in multi-agent systems of agents in R^m with switching interconnection topologies. The two theorems complement each other in…

Systems and Control · Computer Science 2014-04-02 Johan Thunberg , Xiaoming Hu

This paper revisits the problem of multi-agent consensus from a graph signal processing perspective. Describing a consensus protocol as a graph spectrum filter, we present an effective new approach to the analysis and design of consensus…

Systems and Control · Computer Science 2018-08-07 Jingwen Yi , Li Chai , Jingxin Zhang

The formation of agents' opinions in a social system is the result of an intricate equilibrium among several driving forces. On the one hand, the social pressure exerted by peers favours the emergence of local consensus. On the other hand,…

Physics and Society · Physics 2017-04-18 Federico Battiston , Andrea Cairoli , Vincenzo Nicosia , Adrian Baule , Vito Latora

We construct a model of strategic imitation in an arbitrary network of players who interact through an additive game. Assuming a discrete time update, we show a condition under which the resulting difference equations converge to consensus.…

Dynamical Systems · Mathematics 2019-04-15 Christopher Griffin , Sarah Rajtmajer , Anna Squicciarini , Andrew Belmonte

This paper examines the cluster consensus problem of multi-agent systems on matrix-weighted switching networks. Necessary and/or sufficient conditions under which cluster consensus can be achieved are obtained and quantitative…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Lulu Pan , Haibin Shao , Mehran Mesbahi , Dewei Li , Yugeng Xi

In this paper, we present new results on consensus for continuous-time multi- agent systems. We introduce the assumptions of persistent connectivity of the interaction graph and of slow divergence of reciprocal interaction weights.…

Optimization and Control · Mathematics 2012-11-07 Samuel Martin , Antoine Girard

In this paper, the consensus problems of the continuous-time integrator systems under noisy measurements are considered. The measurement noises, which appear when agents measure their neighbors' states, are modeled to be multiplicative. By…

Optimization and Control · Mathematics 2013-04-22 Yuan-Hua Ni , Xun Li

This paper models a class of hierarchical cyber-physical systems and studies its associated consensus problem. The model has a pyramid structure, which reflects many realistic natural or human systems. By analyzing the spectrum of the…

Systems and Control · Electrical Eng. & Systems 2021-05-31 Xiao Chen , Yanjun Li , Arman Goudarzi , Ji Xiang

It is well-known that acting in an individually rational manner, according to the principles of classical game theory, may lead to sub-optimal solutions in a class of problems named social dilemmas. In contrast, humans generally do not have…

Computer Science and Game Theory · Computer Science 2014-01-16 Steven de Jong , Simon Uyttendaele , Karl Tuyls

The topic of this paper is achieving finite-time max-consensus in a multi-agent system that communicates over a fading wireless channel and exploits its interference property. This phenomenon corrupts the desired information when data is…

Systems and Control · Electrical Eng. & Systems 2020-05-13 Fabio Molinari , Navneet Agrawal , Sławomir Stanczak , Jörg Raisch

This paper presents distributed algorithmic solutions that employ opportunistic inter-agent communication to achieve dynamic average consensus. In our solutions each agent is endowed with a local criterion that enables it to determine…

Optimization and Control · Mathematics 2015-03-03 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

This work addresses the problem of ensuring trustworthy computation in a linear consensus network. A solution to this problem is relevant for several tasks in multi-agent systems including motion coordination, clock synchronization, and…

Optimization and Control · Mathematics 2011-04-19 Fabio Pasqualetti , Antonio Bicchi , Francesco Bullo

Collective phenomena in systems of interacting agents have helped us understand diverse social, ecological and biological observations. The corresponding explanations are challenged by incorrect information processing. In particular, the…

Physics and Society · Physics 2022-04-08 Johannes Falk , Edwin Eichler , Katja Windt , Marc-Thorsten Hütt

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

The structure of social relations is fundamental for the construction of plausible simulation scenarios. It shapes the way actors interact and create their identity within overlapping social contexts. Each actor interacts in multiple…

Multiagent Systems · Computer Science 2015-09-14 Davide Nunes , Luis Antunes

Generalized from the concept of consensus, this paper considers a group of edge agreements, i.e. constraints defined for neighboring agents, in which each pair of neighboring agents is required to satisfy one edge agreement constraint. Edge…

Optimization and Control · Mathematics 2023-12-04 Zehui Lu , Shaoshuai Mou

We develop a framework for studying and quantifying the risk of cascading failures in time-delay consensus networks, motivated by a team of agents attempting temporal rendezvous under stochastic disturbances and communication delays. To…

Systems and Control · Electrical Eng. & Systems 2026-04-08 Guangyi Liu , Vivek Pandey , Christoforos Somarakis , Nader Motee

This paper investigates the distributed consensus tracking control problem for general linear multi-agent systems (MASs) with external disturbances and heterogeneous time-varying input and communication delays under a directed communication…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Wei Jiang , Kun Liu , Themistoklis Charalambous

A new theorem on conditions for convergence to consensus of a multiagent time-dependent time-discrete dynamical system is presented. The theorem is build up on the notion of averaging maps. We compare this theorem to results by Moreau (IEEE…

Optimization and Control · Mathematics 2011-01-18 Jan Lorenz , Dirk A. Lorenz