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In this note, we study Laplacians on graphs for which connectivity within certain subgraphs tends to infinity. Our main focus are graphs sharing a common node set on which edge weights within certain clusters grow to infinity. As…

Functional Analysis · Mathematics 2026-01-28 Christian Koke

In this paper the problem of driving the state of a network of identical agents, modeled by boundary-controlled heat equations, towards a common steady-state profile is addressed. Decentralized consensus protocols are proposed to address…

Systems and Control · Computer Science 2015-09-24 A. Pilloni , A. Pisano , Y. Orlov , E. Usai

We consider the problem of inferring the unobserved edges of a graph from data supported on its nodes. In line with existing approaches, we propose a convex program for recovering a graph Laplacian that is approximately diagonalizable by a…

Signal Processing · Electrical Eng. & Systems 2020-10-16 T. Mitchell Roddenberry , Madeline Navarro , Santiago Segarra

This paper proposes a new approach to analyze and design distributed robust consensus control protocols for general linear leaderless multi-agent systems (MASs) in presence of relative-state constraints or uncertainties. First, we show that…

Optimization and Control · Mathematics 2016-05-13 Dinh Hoa Nguyen , Tatsuo Narikiyo , Michihiro Kawanishi

In this paper, we consider the output synchronization problem for a network of heterogeneous diffusively-coupled nonlinear agents. Specifically, we show how the (non-identical) agents can be controlled in such a way that their outputs…

Optimization and Control · Mathematics 2013-03-13 A. Isidori , L. Marconi , G. Casadei

This paper studies a new multi-device edge artificial-intelligent (AI) system, which jointly exploits the AI model split inference and integrated sensing and communication (ISAC) to enable low-latency intelligent services at the network…

Information Theory · Computer Science 2022-07-05 Dingzhu Wen , Peixi Liu , Guangxu Zhu , Yuanming Shi , Jie Xu , Yonina C. Eldar , Shuguang Cui

LLM-empowered multi-agent systems offer new potential to accelerate scientific discovery by generating novel research ideas. However, existing methods typically coordinate agents through temporary texts, such as drafts or chat logs; it is…

Multiagent Systems · Computer Science 2026-05-07 Jiangwen Dong , Bo Li , Wanyu Lin

This paper addresses the global consensus problems of a class of nonlinear multi-agent systems with Lipschitz nonlinearity and directed communication graphs, by using a distributed consensus protocol based on the relative states of…

Systems and Control · Computer Science 2012-02-27 Zhongkui Li , Xiangdong Liu , Mengyin Fu , Lihua Xie

The Large Intelligent Surface (LIS) concept is a promising technology aiming to revolutionize wireless communication by exploiting spatial multiplexing at its fullest. Despite of its potential, due to the size of the LIS and the large…

Signal Processing · Electrical Eng. & Systems 2019-11-26 Jesus Rodriguez Sanchez , Fredrik Rusek , Ove Edfors , Liang Liu

We propose a team assignment algorithm based on a hypergraph approach focusing on resilience and diffusion optimization. Specifically, our method is based on optimizing the algebraic connectivity of the Laplacian matrix of an edge-dependent…

Social and Information Networks · Computer Science 2024-03-11 Guilherme Ferraz de Arruda , Wan He , Nasimeh Heydaribeni , Tara Javidi , Yamir Moreno , Tina Eliassi-Rad

Dynamic and temporal graphs are rich data structures that are used to model complex relationships between entities over time. In particular, anomaly detection in temporal graphs is crucial for many real world applications such as intrusion…

Machine Learning · Computer Science 2020-07-03 Shenyang Huang , Yasmeen Hitti , Guillaume Rabusseau , Reihaneh Rabbany

This paper considers the leader-follower control problem for a linear multi-agent system with directed communication topology and linear nonidentical uncertain coupling subject to integral quadratic constraints (IQCs). A consensus-type…

Systems and Control · Computer Science 2013-09-03 Yi Cheng , V. Ugrinovskii , Guanghui Wen

Diffusion processes are instrumental to describe the movement of a continuous quantity in a generic network of interacting agents. Here, we present a probabilistic framework for diffusion in networks and propose to classify agent…

Social and Information Networks · Computer Science 2015-08-28 Wai Hong Ronald Chan , Matthias Wildemeersch , Tony Q. S. Quek

We have recently proposed a "surplus-based" algorithm which solves the multi-agent average consensus problem on general strongly connected and static digraphs. The essence of that algorithm is to employ an additional variable to keep track…

Systems and Control · Computer Science 2013-05-31 Kai Cai , Hideaki Ishii

Techniques for coordination of multi-agent systems are vast and varied, often utilizing purpose-built solvers or controllers with tight coupling to the types of systems involved or the coordination goal. In this paper, we introduce a…

Optimization and Control · Mathematics 2025-04-07 Tyler Hanks , Hans Riess , Samuel Cohen , Trevor Gross , Matthew Hale , James Fairbanks

Local interaction laws governing multi-agent systems can be difficult to recover from trajectory data, even when the dynamics are observed faithfully. In systems governed by a nonlinear sheaf Laplacian -- a generalization of the graph…

Systems and Control · Electrical Eng. & Systems 2026-05-13 Nivar Anwer , Hans Riess , Matthew Hale

This brief proposes a distributed formation control strategy via matrix-weighted Laplacian that can achieve a similar formation in 2-D planar using inter-agent relative displacement measurement. Formation patterns that include translation,…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Zhipeng Fan , Yujie Xu , Mingyu Fu , Han Sun , Weiqiu Zhang , Heng Zhang

We present a graph-based variational algorithm for multiclass classification of high-dimensional data, motivated by total variation techniques. The energy functional is based on a diffuse interface model with a periodic potential. We…

Machine Learning · Statistics 2012-12-06 Cristina Garcia-Cardona , Arjuna Flenner , Allon G. Percus

This paper introduces some tools from graph theory and distributed consensus algorithms to construct an optimal, yet robust, hierarchical information sharing structure for large-scale decision making and control problems. The proposed…

Systems and Control · Computer Science 2012-08-16 Amir Noori

Realizing edge intelligence consists of sensing, communication, training, and inference stages. Conventionally, the sensing and communication stages are executed sequentially, which results in excessive amount of dataset generation and…

Signal Processing · Electrical Eng. & Systems 2022-01-25 Tong Zhang , Shuai Wang , Guoliang Li , Fan Liu , Guangxu Zhu , Rui Wang