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This paper investigates the problem of securing exponentially fast consensus (exponential consensus for short) for identical agents with finite-dimensional linear system dynamics over dynamic network topology. Our aim is to find the weakest…

Systems and Control · Electrical Eng. & Systems 2023-03-02 Qichao Ma , Jiahu Qin , Brian D. O. Anderson , Long Wang

The paper considers the consensus problem in large networks represented by time-varying directed graphs. A practical way of dealing with large-scale networks is to reduce their dimension by collapsing the states of nodes belonging to…

Systems and Control · Computer Science 2016-08-31 Samuel Martin , Irinel-Constantin Morarescu , Dragan Nesic

We analyze the accuracy of collective decision-making in socially connected populations, where agents update binary choices through local interactions on a network. Each agent receives a private signal that is biased -- even marginally --…

Methodology · Statistics 2025-04-29 Dan Braha , Marcus A. M. de Aguiar

This paper presents a consensus algorithm for a multi-agent system where each agent has access to its imperfect own state and neighboring state measurements. The measurements are subject to deterministic disturbances and the proposed…

Systems and Control · Computer Science 2014-09-22 Mohammad Zamani , Iman Shames , Valery Ugrinovskii

Multi-agent systems cooperation to achieve global goals is usually limited by sensing, actuation, and communication issues. At the local level, continuous measurement and actuation is only approximated by the use of digital mechanisms that…

Optimization and Control · Mathematics 2016-11-18 Eloy Garcia , Yongcan Cao , David W. Casbeer

In this paper, we formulate and solve a randomized optimal consensus problem for multi-agent systems with stochastically time-varying interconnection topology. The considered multi-agent system with a simple randomized iterating rule…

Multiagent Systems · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson

In this paper, we propose a multiplex proportional-integral approach, for solving consensus problems in networks of heterogeneous nodes dynamics affected by constant disturbances. The proportional and integral actions are deployed on two…

Systems and Control · Computer Science 2015-12-10 Daniel Alberto Burbano Lombana , Mario di Bernardo

In this paper, we consider a leader-following consensus problem of a group of autonomous agents with time-varying coupling delays. Two different cases of coupling topologies are investigated. At first, a necessary and sufficient condition…

Mathematical Physics · Physics 2015-05-13 Jiangping Hu , Yiguang Hong

This paper presents new classes of consensus protocols with fixed-time convergence, which enable the definition of an upper bound for consensus state as a parameter of the consensus protocol, ensuring its independence from the initial…

Optimization and Control · Mathematics 2019-12-05 R. Aldana-López , D. Gómez-Gutiérrez , E. Jiménez-Rodríguez , J. D. Sánchez-Torres , A. G. Loukianov

Many groups possess highly symmetric generating sets that are naturally endowed with an underlying combinatorial structure. Such generating sets can prove to be extremely useful both theoretically in providing new existence proofs for…

Group Theory · Mathematics 2010-04-22 Ben Fairbairn

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

We provide a complete characterization of both uniform and non-uniform deterministic consensus solvability in distributed systems with benign process and communication faults using point-set topology. More specifically, we non-trivially…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-22 Thomas Nowak , Ulrich Schmid , Kyrill Winkler

We consider the problem of identifying the topology of a weighted, undirected network $\mathcal G$ from observing snapshots of multiple independent consensus dynamics. Specifically, we observe the opinion profiles of a group of agents for a…

Social and Information Networks · Computer Science 2019-02-12 Santiago Segarra , Michael T. Schaub , Ali Jadbabaie

This paper proposes matrix-scaled consensus algorithm, which generalizes the scaled consensus algorithm in \cite{Roy2015scaled}. In (scalar) scaled consensus algorithms, the agents' states do not converge to a common value, but to different…

Optimization and Control · Mathematics 2022-08-16 Minh Hoang Trinh , Dung Van Vu , Quoc Van Tran , Hyo-Sung Ahn

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

Behavioral homogeneity is often critical for the functioning of network systems of interacting entities. In power grids, whose stable operation requires generator frequencies to be synchronized--and thus homogeneous--across the network,…

Adaptation and Self-Organizing Systems · Physics 2024-09-24 Ferenc Molnar , Takashi Nishikawa , Adilson E. Motter

Large ensembles of globally coupled chaotic neural networks undergo a transition to complete synchronization for high coupling intensities. The onset of this fully coherent behavior is preceded by a regime where clusters of networks with…

adap-org · Physics 2008-02-03 D. H. Zanette , A. S. Mikhailov

Network representations can help reveal the behavior of complex systems. Useful information can be derived from the network properties and invariants, such as components, clusters or cliques, as well as from their changes over time. The…

Social and Information Networks · Computer Science 2019-03-18 Luis Ramada Pereira , Rui J. Lopes , Jorge Louçã

In this work, inspired by secret sharing schemes, we introduce a privacy-preserving approach for network consensus, by which all nodes in a network can reach an agreement on their states without exposing the individual state to neighbors.…

Systems and Control · Electrical Eng. & Systems 2021-03-08 Silun Zhang , Thomas Ohlson Timoudas , Munther Dahleh

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