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We investigate how the graph topology influences the robustness to noise in undirected linear consensus networks. We measure the structural robustness by using the smallest possible value of steady state population variance of states under…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Yasin Yazicioglu , Waseem Abbas , Mudassir Shabbir

In this paper, we consider the $\mathcal{H}_2$-norm of networked systems with multi-time scale consensus dynamics and vector-valued agent states. This allows us to explore how measurement and process noise affect consensus on…

Optimization and Control · Mathematics 2020-12-25 Dillon R. Foight , Mathias Hudoba de Badyn , Mehran Mesbahi

A unified approach to studying convergence and stochastic stability of continuous time consensus protocols (CPs) is presented in this work. Our method applies to networks with directed information flow; both cooperative and noncooperative…

Optimization and Control · Mathematics 2012-06-05 Georgi S. Medvedev

This paper investigates the consensus problem in almost sure sense for uncertain multi-agent systems with noises and fixed topology. By combining the tools of stochastic analysis, algebraic graph theory, and matrix theory, we analyze the…

Adaptation and Self-Organizing Systems · Physics 2012-06-06 Radha F. Gupta , Poom Kumam

In this paper we study a discrete time consensus model on a connected graph with monotonically increasing peer-pressure and noise perturbed outputs masking a hidden state. We assume that each agent maintains a constant hidden state and a…

Physics and Society · Physics 2023-07-05 Christopher Griffin , Anna Squicciarini , Feiran Jia

A distributed average consensus algorithm robust to a wide range of impulsive channel noise distributions is proposed. This work is the first of its kind in the literature to propose a consensus algorithm which relaxes the requirement of…

Systems and Control · Computer Science 2015-06-22 Sivaraman Dasarathan , Cihan Tepedelenlioglu , Mahesh Banavar , Andreas Spanias

This paper addresses the one-bit consensus of controllable linear multi-agent systems (MASs) with communication noises. A consensus algorithm consisting of a communication protocol and a consensus controller is designed. The communication…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Ru An , Ying Wang , Yanlong Zhao , Ji-Feng Zhang

This article deals with the consensus problem involving agents with time-varying singularities in the dynamics or communication in undirected graph networks. Existing results provide control laws which guarantee asymptotic consensus. These…

Systems and Control · Computer Science 2014-04-07 Nilanjan Roy Chowdhury , Srikant Sukumar

Contemporary technological challenges often involve many degrees of freedom in a distributed or networked setting. Three aspects are notable: the variables are usually associated with the nodes of a graph with limited communication…

Statistical Mechanics · Physics 2017-08-30 Nicolas Allegra , Bassam Bamieh , Partha P. Mitra , Clément Sire

This paper considers the distributed consensus problem of multi-agent systems with general continuous-time linear dynamics. Two distributed adaptive dynamic consensus protocols are proposed, based on the relative output information of…

Systems and Control · Computer Science 2015-01-20 Zhongkui Li , Xiangdong Liu , Wei Ren , Lihua Xie

We study the robustness of quantum key distribution protocols using discrete or continuous variables to the channel noise. We introduce the model of such noise based on coupling of the signal to a thermal reservoir, typical for…

Quantum Physics · Physics 2017-06-12 Mikołaj Lasota , Radim Filip , Vladyslav C. Usenko

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

Kemeny's constant measures the efficiency of a Markov chain in traversing its states. We investigate whether structure-preserving perturbations to the transition probabilities of a reversible Markov chain can improve its connectivity while…

Numerical Analysis · Mathematics 2025-12-17 Fabio Durastante , Miryam Gnazzo , Beatrice Meini

Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control…

Dynamical Systems · Mathematics 2020-04-20 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

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

This paper studies distributed adaptive estimation over sensor networks with partially unknown source dynamics. We present parallel continuous-time and discrete-time designs in which each node runs a local adaptive observer and exchanges…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Moh Kamalul Wafi , Hamidreza Montazeri Hedesh , Milad Siami

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

This work is concerned with stochastic consensus conditions of multi-agent systems with both time-delays and measurement noises. For the case of additive noises, we develop some necessary conditions and sufficient conditions for stochastic…

Systems and Control · Computer Science 2018-04-20 Xiaofeng Zong , Tao Li , Ji-Feng Zhang

In this paper, we provide a theoretical analysis for nonlinear discontinuous consensus protocols in networks of multiagents over weighted directed graphs. By integrating the analytic tools from nonsmooth stability analysis and graph theory,…

Optimization and Control · Mathematics 2013-11-26 Liu Bo , Lu Wenlian , Chen Tianping

The vast majority of real-world networks are scale-free, loopy, and sparse, with a power-law degree distribution and a constant average degree. In this paper, we study first-order consensus dynamics in binary scale-free networks, where…

Systems and Control · Computer Science 2018-01-03 Yuhao Yi , Zhongzhi Zhang , Stacy Patterson
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