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Opinion dynamics is crucial for unraveling the complexities of human interaction in the information age. How to speed up consensus without disturbing the fate of the system is key for opinion dynamics. We propose a voter model on adaptive…

Physics and Society · Physics 2023-12-12 Xunlong Wang , Bin Wu

We consider the convergence time for solving the binary consensus problem using the interval consensus algorithm proposed by B\' en\' ezit, Thiran and Vetterli (2009). In the binary consensus problem, each node initially holds one of two…

Probability · Mathematics 2012-02-07 Moez Draief , Milan Vojnovic

The purpose of a consensus protocol is to keep a distributed network of nodes "in sync," even in the presence of an unpredictable communication network and adversarial behavior by some of the participating nodes. In the permissionless…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-25 Eric Budish , Andrew Lewis-Pye , Tim Roughgarden

We analyze the effect of interference on the convergence rate of average consensus algorithms, which iteratively compute the measurement average by message passing among nodes. It is usually assumed that these algorithms converge faster…

Information Theory · Computer Science 2015-05-20 Sundaram Vanka , Martin Haenggi , Vijay Gupta

This paper addresses the distributed consensus problem in the presence of faulty nodes. A novel weight learning algorithm is introduced such that neither network connectivity nor a sequence of history records is required to achieve…

Multiagent Systems · Computer Science 2020-02-11 Jian Hou , Zhiyong Chen , ZhiyunLin , Mengfan Xiang

Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

We consider stationary consensus protocols for networks of dynamic agents with switching topologies. The measure of the neighbors' state is affected by Unknown But Bounded disturbances. Here the main contribution is the formulation and…

Optimization and Control · Mathematics 2007-05-23 Dario Bauso , Laura Giarré , Raffaele Pesenti

This paper concerns the consensus of discrete-time multi-agent systems with linear or linearized dynamics. An observer-type protocol based on the relative outputs of neighboring agents is proposed. The consensus of such a multi-agent system…

Systems and Control · Computer Science 2011-09-20 Zhongkui Li , Zhisheng Duan , Guanrong Chen

This paper considers the distributed consensus problem of linear multi-agent systems subject to different matching uncertainties for both the cases without and with a leader of bounded unknown control input. Due to the existence of…

Optimization and Control · Mathematics 2013-12-31 Zhongkui Li , Zhisheng Duan , Frank Lewis

This two-part paper discusses robustification methodologies for linear-iterative distributed algorithms for consensus and coordination problems in multicomponent systems, in which unreliable communication links may drop packets. We consider…

Systems and Control · Computer Science 2011-09-30 Alejandro D. Dominguez-Garcia , Christoforos N. Hadjicostis , Nitin H. Vaidya

We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

Optimization and Control · Mathematics 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

In this paper, randomized gossip-type matrix-weighted consensus algorithms are proposed for both leaderless and leader-follower topologies. First, we introduce the notion of expected matrix-weighted network, which captures the…

Systems and Control · Electrical Eng. & Systems 2024-10-25 Nhat-Minh Le-Phan , Minh Hoang Trinh , Phuoc Doan Nguyen

The paper investigates consensus problem for continuous-time multi-agent systems with time-varying communication graphs subject to process noises. Borrowing the ideas from input-to-state stability (ISS) and integral input-to-state stability…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson

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

Consensus over networked agents is typically studied using undirected or directed communication graphs. Undirected graphs enforce symmetry in information exchange, leading to convergence to the average of initial states, while directed…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Abhinav Sinha , Dwaipayan Mukherjee , Shashi Ranjan Kumar

We propose a new dynamic average consensus algorithm that is robust to information-sharing noise arising from differential-privacy design. Not only is dynamic average consensus widely used in cooperative control and distributed tracking, it…

Cryptography and Security · Computer Science 2023-07-13 Yongqiang Wang

We consider a multi-agent consensus problem in the presence of adversarial agents. The adversaries are able to listen to the inter-agent communications and try to estimate the state of the agents. The agents have a limited bit-rate for…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Dipankar Maity , Panagiotis Tsiotras

We consider the problem of multi-agent consensus where some agents are subject to faults/attacks and might make updates arbitrarily. The network consists of agents taking integer-valued (i.e., quantized) states under directed communication…

Systems and Control · Computer Science 2017-10-20 Seyed Mehran Dibaji , Hideaki Ishii , Roberto Tempo

We consider the average-consensus problem in a multi-node network of finite size. Communication between nodes is modeled by a sequence of directed signals with arbitrary communication delays. Four distributed algorithms that achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-23 Kevin Topley , Vikram Krishnamurthy

We introduce a general mathematical framework for distributed algorithms, and a monotonicity property frequently satisfied in application. These properties are leveraged to provide finite-time guarantees for converging algorithms, suited…

Systems and Control · Electrical Eng. & Systems 2020-07-31 James Melbourne , Govind Saraswat , Vivek Khatana , Sourav Patel , Murti V. Salapaka