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Multiagent systems consist of agents that locally exchange information through a physical network subject to a graph topology. Current control methods for networked multiagent systems assume the knowledge of graph topologies in order to…

Optimization and Control · Mathematics 2015-01-15 Tansel Yucelen , John Daniel Peterson , Kevin L. Moore

There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept…

Physics and Society · Physics 2019-07-24 Isaac Klickstein , Louis Pecora , Francesco Sorrentino

Several algorithms in prior literature have been proposed which guarantee consensus of normally behaving agents in a network that may contain adversarially behaving agents. These algorithms guarantee that the consensus value lies within the…

Systems and Control · Electrical Eng. & Systems 2019-06-24 James Usevitch , Dimitra Panagou

We study the problem of asymptotic consensus as it occurs in a wide range of applications in both man-made and natural systems. In particular, we study systems with directed communication graphs that may change over time. We recently…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-09 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

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

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

We establish average consensus on graphs with dynamic topologies prescribed by evolutionary games among strategic agents. Each agent possesses a private reward function and dynamically decides whether to create new links and/or whether to…

Optimization and Control · Mathematics 2018-03-08 Michalis Smyrnakis , Nikolaos M. Freris , Hamidou Tembine

Let $G$ be a weakly connected directed graph with asymmetric graph Laplacian ${\cal L}$. Consensus and diffusion are dual dynamical processes defined on $G$ by $\dot x=-{\cal L}x$ for consensus and $\dot p=-p{\cal L}$ for diffusion. We…

Combinatorics · Mathematics 2018-07-27 J. J. P. Veerman , E. Kummel

We consider a multi agent optimization problem where a set of agents collectively solves a global optimization problem with the objective function given by the sum of locally known convex functions. We focus on the case when information…

Optimization and Control · Mathematics 2016-03-14 Ali Makhdoumi , Asuman Ozdaglar

This paper studies deterministic consensus networks with discrete-time dynamics under persistent flows and non-reciprocal agent interactions. An arc describing the interaction strength between two agents is said to be persistent if its…

Systems and Control · Computer Science 2017-06-06 Weiguo Xia , Guodong Shi , Ziyang Meng , Ming Cao , Karl Henrik Johansson

This article investigates discrete-time matrix-weighted consensus of multi-agent networks over undirected and connected graphs. We first present consensus protocols for the agents in common networks of symmetric matrix weights with possibly…

Optimization and Control · Mathematics 2021-03-25 Quoc Van Tran , Minh Hoang Trinh , Hyo-Sung Ahn

Dynamical processes on networks are currently being considered in different domains of cross-disciplinary interest. Reaction-diffusion systems hosted on directed graphs are in particular relevant for their widespread applications, from…

Statistical Mechanics · Physics 2016-04-06 Silvia Contemori , Francesca Di Patti , Duccio Fanelli , Filippo Miele

In this paper, we address the discrete-time average consensus problem in strongly connected directed graphs, where nodes exchange information over unreliable error-prone communication links. We enhance the Robustified Ratio Consensus…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Evagoras Makridis , Themistoklis Charalambous , Christoforos N. Hadjicostis

Resistance distance has been studied extensively in the past years, with the majority of previous studies devoted to undirected networks, in spite of the fact that various realistic networks are directed. Although several generalizations of…

Networking and Internet Architecture · Computer Science 2023-02-09 Mingzhe Zhu , Liwang Zhu , Huan Li , Wei Li , Zhongzhi Zhang

This paper examines the consensus problem on time-varying matrix-weighed undirected networks. First, we introduce the matrix-weighted integral network for the analysis of such networks. Under mild assumptions on the switching pattern of the…

Systems and Control · Electrical Eng. & Systems 2020-01-31 Lulu Pan , Haibin Shao , Mehran Mesbahi , Yugeng Xi , Dewei Li

We propose an adaptive control protocol for identifying the topology of dynamical networks interconnected over undirected graphs with cooperative and antagonistic interactions. The signed network is modeled using a repelling Laplacian.…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Pelin Sekercioglu , Nana Wang , Angela Fontan , Dimos V. Dimarogonas

We propose an algorithm for average consensus over a directed graph which is both fully asynchronous and robust to unreliable communications. We show its convergence to the average, while allowing for slowly growing but potentially…

Optimization and Control · Mathematics 2018-02-26 Alex Olshevsky , Ioannis Ch. Paschalidis , Artin Spiridonoff

The problem of achieving consensus in a network of connected systems arises in many science and engineering applications. In contrast to previous works, we focus on the system reactivity, i.e., the initial amplification of the norm of the…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Amirhossein Nazerian , David Phillips , Hernan A. Makse , Francesco Sorrentino

This paper addresses the distributed consensus protocol design problem for linear multi-agent systems with directed graphs and external unmatched disturbances. A novel distributed adaptive consensus protocol is proposed to achieve…

Systems and Control · Computer Science 2015-11-05 Yuezu Lv , Zhongkui Li , Zhisheng Duan , Gang Feng

The notions of $r$-robustness and $(r,s)$-robustness of a network have been earlier introduced in the literature to achieve resilient consensus in the presence of misbehaving agents. However, while higher robustness levels enable networks…

Systems and Control · Electrical Eng. & Systems 2026-03-02 Haejoon Lee , Dimitra Panagou