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This note corrects a pretty serious mistake and some inaccuracies in "Consensus and cooperation in networked multi-agent systems" by R. Olfati-Saber, J.A. Fax, and R.M. Murray, published in Vol. 95 of the Proceedings of the IEEE (2007, No.…

Multiagent Systems · Computer Science 2010-10-01 Pavel Chebotarev

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

This paper studies consensus problems for multi-agent systems defined on directed graphs where the consensus dynamics involves nonlinear and discontinuous functions. Sufficient conditions, involving the nonlinear functions and the topology…

Optimization and Control · Mathematics 2017-05-16 J. Wei , A. R. F. Everts , M. K. Camlibel , A. J. van der Schaft

This paper investigates the consensus problem in almost sure sense for uncertain multi-agent systems with noises and fixed topology. By combining the tools of stochastic analysis, algebraic graph theory, and matrix theory, we analyze the…

Adaptation and Self-Organizing Systems · Physics 2012-06-06 Radha F. Gupta , Poom Kumam

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

In this paper, a discrete-time multi-agent system is presented which is formulated in terms of the delta operator. The proposed multi-agent system can unify discrete-time and continuous-time multi-agent systems. In a multi-agent network, in…

Systems and Control · Computer Science 2017-05-05 Xue Lin , Yuanshi Zheng , Long Wang

This paper studies a consensus problem of multi-agent systems subjected to external disturbances over the clustered network. It considers that the agents are divided into several clusters. They are almost all the time isolated one from…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Thiem V. Pham , Quynh T. T. Nguyen

The purpose of this short paper is to provide a theoretical analysis for the consensus problem under nonlinear protocols. A main contribution of this work is to generalize the previous consensus problems under nonlinear protocols for…

Dynamical Systems · Mathematics 2008-04-24 Xiwei Liu , Tianping Chen

Multi-agent coordination algorithms with randomized interactions have seen use in a variety of settings in the multi-agent systems literature. In some cases, these algorithms can be random by design, as in a gossip-like algorithm, and in…

Optimization and Control · Mathematics 2017-03-22 Matthew T. Hale , Magnus Egerstedt

This paper analyzes consensus in multi-agent systems under uniform and nonuniform communication delays, a key challenge in distributed coordination with applications to robotic swarms. It investigates the convergence of a consensus…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Shokoufeh Naderi , Maude Blondin , Sébastien Roy

In this paper, we study the robust consensus problem for a set of discrete-time linear agents to coordinate over an uncertain communication network, which is to achieve consensus against the transmission errors and noises resulted from the…

Systems and Control · Computer Science 2017-03-30 Zhongkui Li , Jie Chen

For a multi-agent system state estimation resting upon noisy measurements constitutes a problem related to several application scenarios. Adopting the standard least-squares approach, in this work we derive both the (centralized) analytic…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Marco Fabris , Giulia Michieletto , Angelo Cenedese

We consider multi-agent systems with cooperative interactions and study the convergence to consensus in the case of time-dependent connections, with possible communication failure. We prove a new condition ensuring consensus: we define a…

Optimization and Control · Mathematics 2025-09-03 Mohamed Bentaibi , Laura Caravenna , Jean-Paul A. Gauthier , Francesco Rossi

This paper revisits the problem of multi-agent consensus from a graph signal processing perspective. Describing a consensus protocol as a graph spectrum filter, we present an effective new approach to the analysis and design of consensus…

Systems and Control · Computer Science 2018-08-07 Jingwen Yi , Li Chai , Jingxin Zhang

The paper addresses the problem of consensus seeking among second-order linear agents interconnected in a specific ring topology. Unlike the existing results in the field dealing with one-directional digraphs arising in various cyclic…

Multiagent Systems · Computer Science 2018-12-04 Sergei Parsegov , Pavel Chebotarev

Graph-theoretic tools and techniques have seen wide use in the multi-agent systems literature, and the unpredictable nature of some multi-agent communications has been successfully modeled using random communication graphs. Across both…

Optimization and Control · Mathematics 2017-09-18 Matthew T. Hale

In this paper, we consider the consensus problem of hybrid multi-agent system. First, the hybrid multi-agent system is proposed which is composed of continuous-time and discrete-time dynamic agents. Then, three kinds of consensus protocols…

Systems and Control · Computer Science 2015-12-11 Yuanshi Zheng , Jingying Ma , Long Wang

We consider the problem of steering a multi-agent system to multi-consensus, namely a regime where groups of agents agree on a given value which may be different from group to group. We first address the problem by using distributed…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Lucia Valentina Gambuzza , Mattia Frasca

This paper studies a consensus problem in multidimensional networks having the same agent-to-agent interaction pattern under both intra- and cross-layer time delays. Several conditions for the agents to asymptotically reach a consensus are…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Hoang Huy Vu , Quyen Ngoc Nguyen , Tuynh Van Pham , Chuong Van Nguyen , Minh Hoang Trinh

We address the problem of learning the legitimacy of other agents in a multiagent network when an unknown subset is comprised of malicious actors. We specifically derive results for the case of directed graphs and where stochastic side…

Multiagent Systems · Computer Science 2024-08-06 Orhan Eren Akgün , Arif Kerem Dayı , Stephanie Gil , Angelia Nedić
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