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State convergence is essential in several scientific areas, e.g. multi-agent consensus/disagreement, distributed optimization, monotone game theory, multi-agent learning over time-varying networks. This paper is the first on state…

Optimization and Control · Mathematics 2019-10-02 Filippo Fabiani , Giuseppe Belgioioso , Franco Blanchini , Patrizio Colaneri , Sergio Grammatico

A multi-dimensional switched system or multi-mode multi-dimensional ($M^3D$) system extends the classic switched system by allowing different subsystem dimensions. The stability problem of the $M^3D$ system, whose state transitions at…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Mengqi Xue , Yang Tang , Wei Ren , Feng Qian

This paper proposes the matrix-weighted consensus algorithm, which is a generalization of the consensus algorithm in the literature. Given a networked dynamical system where the interconnections between agents are weighted by nonnegative…

Optimization and Control · Mathematics 2018-01-09 Minh Hoang Trinh , Hyo-Sung Ahn

In this paper, we consider a leader-following consensus problem of a group of autonomous agents with time-varying coupling delays. Two different cases of coupling topologies are investigated. At first, a necessary and sufficient condition…

Mathematical Physics · Physics 2015-05-13 Jiangping Hu , Yiguang Hong

Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This paper provides a Lyapunov-based proof that, under a time-scale…

Optimization and Control · Mathematics 2020-03-11 John W. Simpson-Porco

This paper investigates the controller synthesis problem for a multi-agent system (MAS) with intermittent communication. We adopt a relay-explorer scheme, where a mobile relay agent with absolute position sensors switches among a set of…

Robotics · Computer Science 2021-04-20 Zhe Xu , Federico M. Zegers , Bo Wu , Alexander J. Phillips , Warren Dixon , Ufuk Topcu

Autonomous multi-agent systems (MAS) are useful for automating complex tasks but raise trust concerns due to risks such as miscoordination or goal misalignment. Explainability is vital for users' trust calibration, but explainable MAS face…

Artificial Intelligence · Computer Science 2025-10-30 Bálint Gyevnár , Christopher G. Lucas , Stefano V. Albrecht , Shay B. Cohen

Controllability refers to a situation in which a Multi-agent System may be steered from one state to another using specified rules. As a result, there is belief in achieving a given condition by explicit advances. The level of dynamism in…

Multiagent Systems · Computer Science 2021-12-28 Javeria Noor

It is well known that, for mass-action systems, complex-balanced equilibria are asymptotically stable. For generalized mass-action systems, even if there exists a unique complex-balanced equilibrium (in every stoichiometric class and for…

Dynamical Systems · Mathematics 2022-09-14 Balazs Boros , Stefan Müller , Georg Regensburger

In this paper we introduce a novel consensus mech- anism where agents of a network are able to share logical values, or Booleans, representing their local opinions on e.g. the presence of an intruder or of a fire within an indoor…

Robotics · Computer Science 2011-01-13 Adriano Fagiolini , Antonio Bicchi

This paper addresses the adaptive consensus problem in uncertain multi-agent systems, particularly under challenges posed by quantized communication. We consider agents with general linear dynamics subject to nonlinear uncertainties and…

Optimization and Control · Mathematics 2025-06-10 Woocheol Choi , Piljae Jang

This brief addresses the distributed consensus problem of nonlinear multi-agent systems under a general directed communication topology. Each agent is governed by higher-order dynamics with mismatched uncertainties, multiple completely…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Gang Wang , Chaoli Wang , Zhengtao Ding , Yunfeng Ji

Cooperative information shared among a multi-agent system (MAS) can be useful to agents to efficiently fulfill their missions. Relying on wrong information, however, can have severe consequences. While classical approaches only consider…

Signal Processing · Electrical Eng. & Systems 2019-05-23 Johannes Müller , Tobias Meuser , Ralf Steinmetz , Michael Buchholz

Large language models (LLMs) have enabled multi-agent systems (MAS) in which multiple agents argue, critique, and coordinate to solve complex tasks, making communication topology a first-class design choice. Yet most existing LLM-based MAS…

Artificial Intelligence · Computer Science 2025-12-23 Boxuan Wang , Zhuoyun Li , Xiaowei Huang , Yi Dong

With recent advances in Large Language Models (LLMs), Agentic AI has become phenomenal in real-world applications, moving toward multiple LLM-based agents to perceive, learn, reason, and act collaboratively. These LLM-based Multi-Agent…

Artificial Intelligence · Computer Science 2025-01-14 Khanh-Tung Tran , Dung Dao , Minh-Duong Nguyen , Quoc-Viet Pham , Barry O'Sullivan , Hoang D. Nguyen

This note investigates how to design topology structures to ensure the controllability of multi-agent networks (MASs) under any selection of leaders. We put forward a concept of perfect controllability, which means that a multi-agent system…

Systems and Control · Computer Science 2018-07-03 Shaobin Cao , Zhijian Ji , Hai Lin , Haisheng Yu

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

We propose a simple model unifying two major approaches to the analysis of large multicomponent systems: interacting particle systems (IPS) and couple map lattices (CML) and show that in the weak interaction limit depending on fine…

Dynamical Systems · Mathematics 2010-02-26 Michael Blank

A novel distributed control law for consensus of networked double integrator systems with biased measurements is developed in this article. The agents measure relative positions over a time-varying, undirected graph with an unknown and…

Systems and Control · Electrical Eng. & Systems 2022-04-20 Pallavi Sinha , Srikant Sukumar , Himani Sinhmar

The paper is devoted to the approximate consensus problem for networks of nonlinear agents with switching topology, noisy and delayed measurements. In contrast to the existing stochastic approximation-based control algorithms (protocols), a…

Systems and Control · Computer Science 2013-06-17 Natalia Amelina , Alexander Fradkov , Yuming Jiang , Dimitrios J. Vergados
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