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This article deals with the consensus problem involving agents with time-varying singularities in the dynamics or communication in undirected graph networks. Existing results provide control laws which guarantee asymptotic consensus. These…

Systems and Control · Computer Science 2014-04-07 Nilanjan Roy Chowdhury , Srikant Sukumar

In this note we give sufficient conditions for the convergence of the iterative algorithm called weighted-average consensus in directed graphs. We study the discrete-time form of this algorithm. We use standard techniques from matrix theory…

Optimization and Control · Mathematics 2013-07-30 Francisco Pedroche , Miguel Rebollo , Carlos Carrascosa , Alberto Palomares

Preventing fake or duplicate digital identities (aka sybils) from joining a digital community may be crucial to its survival, especially if it utilizes a consensus protocol among its members or employs democratic governance, where sybils…

Social and Information Networks · Computer Science 2023-12-11 Ouri Poupko , Gal Shahaf , Ehud Shapiro , Nimrod Talmon

Consensus of autonomous agents is a benchmark problem in cooperative control. In this paper, we consider standard continuous-time averaging consensus policies (or Laplacian flows) over time-varying graphs and focus on robustness of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Anton V. Proskurnikov , Guiseppe Calafiore

In this paper, we study the discrete-time consensus problem over networks with antagonistic and cooperative interactions. Following the work by Altafini [IEEE Trans. Automatic Control, 58 (2013), pp. 935--946], by an antagonistic…

Optimization and Control · Mathematics 2016-04-21 Ziyang Meng , Guodong Shi , Karl H. Johansson , Ming Cao , Yiguang Hong

Signed networks have been a topic of recent interest in the network control community as they allow studying antagonistic interactions in multi-agent systems. Although dynamical characteristics of signed networks have been well-studied,…

Optimization and Control · Mathematics 2017-07-13 Siavash Alemzadeh , Mathias Hudoba de Badyn , Mehran Mesbahi

In this letter, we study the problem of accelerating reaching average consensus over connected graphs in a discrete-time communication setting. Literature has shown that consensus algorithms can be accelerated by increasing the graph…

Optimization and Control · Mathematics 2022-06-29 Amir-Salar Esteki , Hossein Moradian , Solmaz S. Kia

Exact Byzantine consensus problem requires that non-faulty processes reach agreement on a decision (or output) that is in the convex hull of the inputs at the non-faulty processes. It is well-known that exact consensus is impossible in an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-01 Zhuolun Xiang , Nitin H. Vaidya

In recent years, Byzantine Agreement is being considered in increasing scales due to the proliferation of blockchains and other decentralized financial technologies. Consequently, a number of works have improved its communication complexity…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-04 Shir Cohen , Idit Keidar , Oded Naor

Digital money can be implemented efficiently by avoiding consensus. However, no-consensus implementations have drawbacks, as they cannot support smart contracts, and (even more fundamentally) they cannot deal with conflicting transactions.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-05 Jakub Sliwinski , Yann Vonlanthen , Roger Wattenhofer

In this paper, we investigate the approximate consensus problem in highly dynamic networks in which topology may change continually and unpredictably. We prove that in both synchronous and partially synchronous systems, approximate…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-11-13 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

This paper considers a distributed optimization problem in the presence of Byzantine agents capable of introducing untrustworthy information into the communication network. A resilient distributed subgradient algorithm is proposed based on…

Optimization and Control · Mathematics 2023-03-22 Jingxuan Zhu , Yixuan Lin , Alvaro Velasquez , Ji Liu

This paper revisits the problem of multi-agent consensus from a graph signal processing perspective. By defining the graph filter from the consensus protocol, we establish the direct relation between average consensus of multi-agent systems…

Systems and Control · Computer Science 2017-03-09 Jing-Wen Yi , Li Chai

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

Networking and Internet Architecture · Computer Science 2013-04-10 Lei Chen , Jeff Frolik

An event-triggered control technique for consensus of multi-agent systems with general linear dynamics is presented. This paper extends previous work to consider agents that are connected using directed graphs. Additionally, the approach…

Optimization and Control · Mathematics 2015-02-13 Eloy Garcia , Yongcan Cao , Xiaofeng Wang , David W. Casbeer

The Byzantine consensus problem involves $n$ processes, out of which t < n could be faulty and behave arbitrarily. Three properties characterize consensus: (1) termination, requiring correct (non-faulty) processes to eventually reach a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Pierre Civit , Seth Gilbert , Rachid Guerraoui , Jovan Komatovic , Manuel Vidigueira

This paper addresses the global consensus problems of a class of nonlinear multi-agent systems with Lipschitz nonlinearity and directed communication graphs, by using a distributed consensus protocol based on the relative states of…

Systems and Control · Computer Science 2012-02-27 Zhongkui Li , Xiangdong Liu , Mengyin Fu , Lihua Xie

In distributed systems, a group of $\textit{learners}$ achieve $\textit{consensus}$ when, by observing the output of some $\textit{acceptors}$, they all arrive at the same value. Consensus is crucial for ordering transactions in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-14 Isaac Sheff , Xinwen Wang , Robbert van Renesse , Andrew C. Myers

We consider decentralized optimization problems where one aims to minimize a sum of convex smooth objective functions distributed between nodes in the network. The links in the network can change from time to time. For the setting when the…

Optimization and Control · Mathematics 2023-01-30 Dmitriy Metelev , Alexander Rogozin , Dmitry Kovalev , Alexander Gasnikov

For reaching efficient deterministic synchronous Byzantine agreement upon partially connected networks, the traditional broadcast primitive is extended and integrated with a general framework. With this, the Byzantine agreement is extended…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-09 Shaolin Yu , Jihong Zhu , Jiali Yang , Wei Lu
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