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We show how graphons can be used to model and analyze open multi-agent systems, which are multi-agent systems subject to arrivals and departures, in the specific case of linear consensus. First, we analyze the case of replacements, where…

Systems and Control · Electrical Eng. & Systems 2025-04-01 Renato Vizuete , Julien M. Hendrickx

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

This article presents the consensus of a saturated second order multi-agent system with non-switching dynamics that can be represented by a directed graph. The system is affected by data processing (input delay) and communication…

Multiagent Systems · Computer Science 2020-11-19 Venkata Karteek Yanumula , Indrani Kar , Somanath Majhi

We study a simple but compelling model of $n$ interacting agents via time-dependent, unidirectional communication. The model finds wide application in a variety of fields including synchronization, swarming and distributed decision making.…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau

In this paper, we study finite-time state consensus problems for continuous nonlinear multi-agent systems. Building on the theory of finite-time Lyapunov stability, we propose sufficient criteria which guarantee the system to reach a…

Information Theory · Computer Science 2009-09-18 Yilun Shang

This study develops an original and innovative matrix representation with respect to the information flow for networked multi-agent system. To begin with, the general concepts of the edge Laplacian of digraph are proposed with its algebraic…

Systems and Control · Computer Science 2015-02-25 Zhiwen Zeng , Xiangke Wang , Zhiqiang Zheng

Stability is a critical feature of distributed linear multi-input-multi-output systems. Global asymptotic stability usually can be guaranteed when using decentralised or distributed control architectures, if: (i) conservative controllers…

Optimization and Control · Mathematics 2018-03-06 Daniel O'Keeffe , Stefano Riverso , Laura Albiol-Tendillo , Gordon Lightbody

This paper investigates a new method for consensus in a group of nonlinear complex multi-agent systems using fixed-order non-fragile dynamic output feedback controller, via an LMI approach. The proposed scheme is decentralized in the sense…

Optimization and Control · Mathematics 2015-01-21 Amir Amini , Ali Azarbahram , Mahdi Sojoodi

This paper studies multi-agent systems with nonlinear consensus protocols, i.e., only nonlinear measurements of the states are available to agents. The solutions of these systems are understood in Filippov sense since the possible…

Optimization and Control · Mathematics 2017-04-12 Jieqiang Wei , Xinlei Yi , Henrik Sandberg , Karl Henrik Johansson

Despite significant progress on stability analysis of conventional multiagent networked systems with weakly coupled state-network dynamics, most of the existing results have shortcomings in addressing multiagent systems with highly coupled…

Systems and Control · Electrical Eng. & Systems 2020-07-21 S. Rasoul Etesami

In this paper, we propose several consensus protocols of the first and second order for networked multi-agent systems and provide explicit representations for their asymptotic states. These representations involve the eigenprojection of the…

Optimization and Control · Mathematics 2018-11-27 Rafig Agaev , Pavel Chebotarev

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 paper addresses the distributed consensus protocol design problem for multi-agent systems with general linear dynamics and directed communication graphs. Existing works usually design consensus protocols using the smallest real part of…

Optimization and Control · Mathematics 2016-11-15 Zhongkui Li , Guanghui Wen , Zhisheng Duan , Wei Ren

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 present two main theorems along the lines of Lyapunov's second method that guarantee asymptotic state consensus in multi-agent systems of agents in R^m with switching interconnection topologies. The two theorems complement each other in…

Systems and Control · Computer Science 2014-04-02 Johan Thunberg , Xiaoming Hu

Stabilizing large networks of nonlinear agents is challenging; decomposition and distributed analysis of these networks are crucial for computational tractability and information security. Vidyasagar's Network Dissipativity Theorem enables…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Ingyu Jang , Ethan J. LoCicero , Leila Bridgeman

This paper introduces a novel approach of clustering, which is based on group consensus of dynamic linear high-order multi-agent systems. The graph topology is associated with a selected multi-agent system, with each agent corresponding to…

Systems and Control · Computer Science 2017-06-13 Ning Cai , Chen Diao , M. Junaid Khan

A major limitation of the classical control theory is the assumption that the state space and its dimension do not change with time. This prevents analyzing and even formalizing the stability and control problems for open multi-agent…

Optimization and Control · Mathematics 2025-01-28 Andrii Mironchenko

This paper focuses on consensus problems for high-order, linear multi-agent systems. Undirected communication topologies and fixed, uniform communication time delay are taken into account. This class of problems has been widely study in the…

Optimization and Control · Mathematics 2016-05-06 Rudy Cepeda-Gomez

In this paper, we consider a robust consensus tracking problem of heterogeneous multi-agent systems with time-varying interconnection topologies. Based on common Lyapunov function and internal model techniques, both state and output…

Optimization and Control · Mathematics 2015-08-14 Yutao Tang