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Network topology inference is a fundamental problem in many applications of network science, such as locating the source of fake news, brain connectivity networks detection, etc. Many real-world situations suffer from a critical problem…

Applications · Statistics 2022-06-22 Yupeng Chen , Zhiguo Wang , Xiaojing Shen

Consensus of autonomous agents is a benchmark problem in cooperative control. In this paper, we consider standard continuous-time averaging consensus policies (or Laplacian flows) over time-varying graphs and focus on robustness of…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Anton V. Proskurnikov , Guiseppe Calafiore

This paper is concerned with the study of synchronization and consensus phenomena in complex networks of diffusively-coupled nodes subject to external disturbances. Specifically, we make use of stochastic Lyapunov functions to provide…

Systems and Control · Computer Science 2016-03-22 Giovanni Russo , Rovert Shorten

We consider the leader selection problem in a network with consensus dynamics where both leader and follower agents are subject to stochastic external disturbances. The performance of the system is quantified by the total steady-state…

Optimization and Control · Mathematics 2017-12-25 Erika Mackin , Stacy Patterson

This paper focuses on the consensus averaging problem on graphs under general noisy channels. We study a particular class of distributed consensus algorithms based on damped updates, and using the ordinary differential equation method, we…

Information Theory · Computer Science 2008-05-06 Ram Rajagopal , Martin J. Wainwright

Designing networks to optimize robustness and other performance metrics is a well-established problem with applications ranging from electrical engineering to communication networks. Many such performance measures rely on the Laplacian…

Social and Information Networks · Computer Science 2025-12-23 Samuel Rosa , Radoslav Harman

We study a new variant of consensus problems, termed `local average consensus', in networks of agents. We consider the task of using sensor networks to perform distributed measurement of a parameter which has both spatial (in this paper 1D)…

Systems and Control · Computer Science 2013-09-02 Kai Cai , Brian D. O. Anderson , Changbin Yu , Guoqiang Mao

Considering some predictive mechanisms, we show that ultrafast average-consensus can be achieved in networks of interconnected agents. More specifically, by predicting the dynamics of the network several steps ahead and using this…

Data Analysis, Statistics and Probability · Physics 2007-12-06 Hai-Tao Zhang , Guy-Bart Stan , Michael ZhiQiang Chen , Jan M. Maciejowski , Tao Zhou

Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacting networks. However, despite significant research in…

Optimization and Control · Mathematics 2024-11-12 C. D. Rodríguez-Camargo , A. F. Urquijo-Rodríguez , E. A. Mojica-Nava

In this letter, we study the problem of accelerating reaching average consensus over connected graphs in a discrete-time communication setting. Literature has shown that consensus algorithms can be accelerated by increasing the graph…

Optimization and Control · Mathematics 2022-06-29 Amir-Salar Esteki , Hossein Moradian , Solmaz S. Kia

Achieving consensus via nearest neighbor rules is an important prerequisite for multi-agent networks to accomplish collective tasks. A common assumption in consensus setup is that each agent interacts with all its neighbors. This paper…

Systems and Control · Electrical Eng. & Systems 2022-06-23 Haibin Shao , Lulu Pan , Mehran Mesbahi , Yugeng Xi , Dewei Li

This paper studies non-trivial consensus--a relatively novel and unexplored convergence behavior--on directed signed matrix-weighted networks subject to both additive and multiplicative measurement noises under time-varying topologies.…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Tianmu Niu , Xiaoqun Wu

This paper addresses the distributed optimization of the finite condition number of the Laplacian matrix in multi-agent systems. The finite condition number, defined as the ratio of the largest to the second smallest eigenvalue of the…

Optimization and Control · Mathematics 2026-03-17 Yicheng Xu , Faryar Jabbari

Stochastic optimization is a vital field in the realm of mathematical optimization, finding applications in diverse areas ranging from operations research to machine learning. In this paper, we introduce a novel first-order optimization…

Optimization and Control · Mathematics 2024-09-17 Vladimir Solodkin , Savelii Chezhegov , Ruslan Nazikov , Aleksandr Beznosikov , Alexander Gasnikov

In this paper, an optimal consensus problem with local inequality constraints is studied for a network of single-integrator agents. The goal is that a group of single-integrator a gents rendezvous at the optimal point of the sum of local…

Dynamical Systems · Mathematics 2018-03-14 Amir Adibzadeh , Mohsen Zamani , Amir A. Suratgar , Mohammad B. Menhaj

This paper proposes a new approach to analyze and synthesize robust consensus control laws for general linear leaderless multi-agent systems (MASs) subjected to input constraints or uncertainties. First, the MAS under input constraints or…

Optimization and Control · Mathematics 2016-05-17 Dinh Hoa Nguyen , Tatsuo Narikiyo , Michihiro Kawanishi

This paper presents a new approach to distributed linear filtering and prediction. The problem under consideration consists of a random dynamical system observed by a multi-agent network of sensors where the network is sparse. Inspired by…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Subhro Das

Compressed sensing typically deals with the estimation of a system input from its noise-corrupted linear measurements, where the number of measurements is smaller than the number of input components. The performance of the estimation…

Information Theory · Computer Science 2016-11-17 Jin Tan , Danielle Carmon , Dror Baron

We introduce a distributed algorithm, termed noise-robust distributed maximum consensus (RD-MC), for estimating the maximum value within a multi-agent network in the presence of noisy communication links. Our approach entails redefining the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-18 Ehsan Lari , Reza Arablouei , Naveen K. D. Venkategowda , Stefan Werner

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