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In this paper we propose a novel method for achieving average consensus in a continuous-time multiagent network while avoiding to disclose the initial states of the individual agents. In order to achieve privacy protection of the state…

Systems and Control · Computer Science 2020-07-28 Claudio Altafini

In this paper the problem of driving the state of a network of identical agents, modeled by boundary-controlled heat equations, towards a common steady-state profile is addressed. Decentralized consensus protocols are proposed to address…

Systems and Control · Computer Science 2015-09-24 A. Pilloni , A. Pisano , Y. Orlov , E. Usai

We introduce a simple open-ended model that describes the emergence of a shared vocabulary. The ordering transition toward consensus is generated only by an agreement mechanism. This interaction defines a finite and small number of states,…

Physics and Society · Physics 2009-02-13 E. Brigatti , I. Roditi

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

Physics and Society · Physics 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

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

In this paper, we study a convergence condition for asynchronous consensus problems in multi-agent systems. The convergence in this context implies the asynchronous consensus value converges to the synchronous one and is unique. Although it…

Systems and Control · Computer Science 2016-06-15 Kooktae Lee , Raktim Bhattacharya

The hypothesis that living systems can benefit from operating at the vicinity of critical points has gained momentum in recent years. Criticality may confer an optimal balance between exceedingly ordered and too noisy states. We here…

Populations and Evolution · Quantitative Biology 2016-03-23 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Amos Maritan , Miguel A. Munoz

The consensus problem for multi-agent systems with quantized communication or sensing is considered. Centralized and distributed self-triggered rules are proposed to reduce the overall need of communication and system updates. It is proved…

Systems and Control · Computer Science 2019-04-15 Xinlei Yi , Jieqiang Wei , Karl H. Johansson

This paper presents an algorithm which solves exponentially fast the average consensus problem on strongly connected network of digital links. The algorithm is based on an efficient zooming-in/zooming-out quantization scheme.

Optimization and Control · Mathematics 2011-07-25 Ruggero Carli , Fabio Fagnani , Paolo Frasca , Sandro Zampieri

This paper considers the distributed consensus problems for multi-agent systems with general linear and Lipschitz nonlinear dynamics. Distributed relative-state consensus protocols with an adaptive law for adjusting the coupling weights…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Wei Ren , Xiangdong Liu , Mengyin Fu

Solving an output consensus problem in multi-agent systems is often hindered by multiple time-variant delays. To address such fundamental problems over time, we present a new optimal time-variant distributed control for linearly perturbed…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Milad Gholami

We investigate an averaging process that describes how interacting agents approach consensus through binary interactions. In each elementary step, two agents are selected at random and they reach compromise by adopting their opinion…

Statistical Mechanics · Physics 2021-11-23 E. Ben-Naim , P. L. Krapivsky

We study the continuum opinion dynamics of the compromise model of Krause and Hegselmann for a community of mutually interacting agents, by solving numerically a rate equation. The opinions are here represented by bidimensional vectors with…

Physics and Society · Physics 2009-11-11 Santo Fortunato , Vito Latora , Alessandro Pluchino , Andrea Rapisarda

Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among individuals. In this work a model for the dynamics of opinion…

Physics and Society · Physics 2009-11-13 V. Schwammle , M. C. Gonzalez , A. A. Moreira , J. S. Jr. Andrade , H. J. Herrmann

For nonautonomous Hamiltonian systems and their quantisations we discuss properties of the quantised systems, related to those of the corresponding classical systems, described by the KAM-related theories: the proper KAM, the averaging…

Dynamical Systems · Mathematics 2015-06-11 S. B. Kuksin , A. I. Neishtadt

In this work, we study the consensus problem in which legitimate agents send their values over an undirected communication network in the presence of an unknown subset of malicious or faulty agents. In contrast to former works, we…

Systems and Control · Electrical Eng. & Systems 2025-04-11 Orhan Eren Akgün , Sarper Aydın , Stephanie Gil , Angelia Nedić

In this technical note, we first clarify a technical issue in the convergence proof of a free-will arbitrary time (FwAT) consensus law proposed recently in Pal et al. IEEE Trans. Cybern. (2020)[1], making the results questionable. We then…

Optimization and Control · Mathematics 2021-08-17 Quoc Van Tran , Minh Hoang Trinh , Nam Hoai Nguyen , Hyo-Sung Ahn

Populations of mobile and communicating agents describe a vast array of technological and natural systems, ranging from sensor networks to animal groups. Here, we investigate how a group-level agreement may emerge in the continuously…

Physics and Society · Physics 2012-01-25 Andrea Baronchelli , Albert Diaz-Guilera

We study a discrete-time consensus model in which agents iteratively update their states through interactions on a dynamic social network. At each step, a single agent is selected asynchronously and averages the values of its current…

Systems and Control · Computer Science 2025-12-29 Hsin-Lun Li

A group behavior of a heterogeneous multi-agent system is studied which obeys an "average of individual vector fields" under strong couplings among the agents. Under stability of the averaged dynamics (not asking stability of individual…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Jin Gyu Lee , Hyungbo Shim