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This paper studies the problem of finding the median of N distinct numbers distributed across networked agents. Each agent updates its estimate for the median from noisy local observations of one of the N numbers and information from…

Optimization and Control · Mathematics 2021-10-12 Shuhua Yu , Yuan Chen , Soummya Kar

Consider a consensus-driven multi-agent dynamic system. The interaction range, which defines the set of neighbors for each agent, plays a key role in influencing connectivity of the underlying network. In this paper, we assume the system is…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Saad J Saleh

This paper addresses the problem of distributed estimation of an unknown dynamic parameter by a multi-agent system over a directed communication network in the presence of an adversarial attack on the agents' sensors. The mode of attack of…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Shamik Bhattacharyya , Kiran Rokade , Rachel Kalpana Kalaimani

In this chapter we look at one of the canonical driving examples for multi-agent systems: average consensus. In this scenario, a group of agents seek to agree on the average of their initial states. Depending on the particular application,…

Optimization and Control · Mathematics 2016-09-23 Cameron Nowzari , Jorge Cortes , George J. Pappas

In this paper, we consider the consensus problem of dynamical multiple agents that communicate via a directed moving neighborhood random network. Each agent performs random walk on a weighted directed network. Agents interact with each…

Multiagent Systems · Computer Science 2015-05-14 Yilun Shang

Iterative Approximate Byzantine Consensus (IABC) is a fundamental problem of fault-tolerant distributed computing where machines seek to achieve approximate consensus to arbitrary exactness in the presence of Byzantine failures. We present…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-06 Matthew Ding

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

Optimization and Control · Mathematics 2020-03-05 Peng Lin , Wei Ren , Huijun Gao

In this paper, we consider the consensus problem of switched multi-agent system composed of continuous-time and discrete-time subsystems. By combining the classical consensus protocols of continuous-time and discrete-time multi-agent…

Systems and Control · Computer Science 2014-07-15 Yuanshi Zheng , Jingying Ma , Long Wang

Distributed model training is vulnerable to byzantine system failures and adversarial compute nodes, i.e., nodes that use malicious updates to corrupt the global model stored at a parameter server (PS). To guarantee some form of robustness,…

Machine Learning · Statistics 2018-06-25 Lingjiao Chen , Hongyi Wang , Zachary Charles , Dimitris Papailiopoulos

We study the problem of Byzantine fault tolerance in a distributed optimization setting, where there is a group of $N$ agents communicating with a trusted centralized coordinator. Among these agents, there is a subset of $f$ agents that may…

Optimization and Control · Mathematics 2023-12-19 Amit Dutta , Thinh T. Doan , Jeffrey H. Reed

Deep neural networks have demonstrated their capability to learn control policies for a variety of tasks. However, these neural network-based policies have been shown to be susceptible to exploitation by adversarial agents. Therefore, there…

Machine Learning · Computer Science 2021-07-12 Sampo Kuutti , Saber Fallah , Richard Bowden

This paper focuses on the problem of distributed consensus control of multi-agent systems while considering two main practical concerns (i) stochastic noise in the agent dynamics and (ii) predefined performance constraints over evolutions…

Systems and Control · Electrical Eng. & Systems 2022-03-09 Pushpak Jagtap , Dimos V. Dimarogonas

Large language models are increasingly deployed as cooperating agents, yet their behavior in adversarial consensus settings has not been systematically studied. We evaluate LLM-based agents on a Byzantine consensus game over scalar values…

Multiagent Systems · Computer Science 2026-03-13 Frédéric Berdoz , Leonardo Rugli , Roger Wattenhofer

In this paper, we study asynchronous consensus problems of continuous-time multi-agent systems with discontinuous information transmission. The proposed consensus control strategy is implemented only based on the state information at some…

Dynamical Systems · Mathematics 2007-05-23 Feng Xiao , Long Wang

Large Language Model-based Multi-Agent Systems (MAS) have demonstrated remarkable collaborative reasoning capabilities but introduce new attack surfaces, such as the sleeper agent, which behave benignly during routine operation and…

Artificial Intelligence · Computer Science 2026-03-18 Yu Li , Qiang Hu , Yao Zhang , Lili Quan , Jiongchi Yu , Junjie Wang

Consensus algorithms are fundamental to multi-agent distributed optimization, and their security under adversarial conditions is an active area of research. While prior works primarily establish conditions for successful global consensus…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Sribalaji C. Anand , Alexander J Gallo , Nicola Bastianello

We study the problem of non-constrained, discrete-time, online distributed optimization in a multi-agent system where some of the agents do not follow the prescribed update rule either due to failures or malicious intentions. None of the…

Optimization and Control · Mathematics 2022-04-12 Sourav Sahoo , Anand Gokhale , Rachel Kalpana Kalaimani

In this paper consensus in second-order multi-agent systems with a non-periodic sampled-data exchange among agents is investigated. The sampling is random with bounded inter-sampling intervals. It is assumed that each agent has exact…

Systems and Control · Computer Science 2016-11-17 Mehran Zareh , Dimos V. Dimarogonas , Mauro Franceschelli , Karl Henrik Johansson , Carla Seatzu

To improve the overall efficiency and reliability of Byzantine protocols in large sparse networks, we propose a new system assumption for developing multi-scale fault-tolerant systems, with which several kinds of multi-scale Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-08 Shaolin Yu , Jihong Zhu , Jiali Yang , Yulong Zhan

This paper addresses the estimation of a time- varying parameter in a network. A group of agents sequentially receive noisy signals about the parameter (or moving target), which does not follow any particular dynamics. The parameter is not…

Optimization and Control · Mathematics 2016-03-03 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie
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