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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

This article investigates discrete-time matrix-weighted consensus of multi-agent networks over undirected and connected graphs. We first present consensus protocols for the agents in common networks of symmetric matrix weights with possibly…

Optimization and Control · Mathematics 2021-03-25 Quoc Van Tran , Minh Hoang Trinh , Hyo-Sung Ahn

We study distributed computation in synchronous dynamic networks where an omniscient adversary controls the unidirectional communication links. Its behavior is modeled as a sequence of directed graphs representing the active (i.e. timely)…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Martin Biely , Peter Robinson , Ulrich Schmid

This paper introduces a novel continuous-time dynamic average consensus algorithm for networks whose interaction is described by a strongly connected and weight-balanced directed graph. The proposed distributed algorithm allows agents to…

Optimization and Control · Mathematics 2014-01-28 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

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

In this paper, we study the robust consensus problem for a set of discrete-time linear agents to coordinate over an uncertain communication network, which is to achieve consensus against the transmission errors and noises resulted from the…

Systems and Control · Computer Science 2017-03-30 Zhongkui Li , Jie Chen

This paper investigates the problem of securing exponentially fast consensus (exponential consensus for short) for identical agents with finite-dimensional linear system dynamics over dynamic network topology. Our aim is to find the weakest…

Systems and Control · Electrical Eng. & Systems 2023-03-02 Qichao Ma , Jiahu Qin , Brian D. O. Anderson , Long Wang

Consensus over networked agents is typically studied using undirected or directed communication graphs. Undirected graphs enforce symmetry in information exchange, leading to convergence to the average of initial states, while directed…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Abhinav Sinha , Dwaipayan Mukherjee , Shashi Ranjan Kumar

The dynamics of an agreement protocol interacting with a disagreement process over a common random network is considered. The model can represent the spreading of true and false information over a communication network, the propagation of…

Social and Information Networks · Computer Science 2012-08-17 Guodong Shi , Mikael Johansson , Karl Henrik Johansson

A consensus system is a linear multi-agent system in which agents communicate to reach a so-called consensus state, defined as the average of the initial states of the agents. Consider a more generalized situation in which each agent is…

Systems and Control · Computer Science 2015-06-01 Xudong Chen , M. -A. Belabbas , Tamer Basar

In this note, we discuss the problem of consensus finding in communication networks of agents with dynamically switching topologies. In particular, we consider the case of directed networks with unbalanced matrices of communication rates.…

Optimization and Control · Mathematics 2014-05-06 Jan Haskovec

In this paper, a distributed velocity-constrained consensus problem is studied for discrete-time multi-agent systems, where each agent's velocity is constrained to lie in a nonconvex set. A distributed constrained control algorithm is…

Optimization and Control · Mathematics 2020-03-05 Peng Lin , Wei Ren , Huijun Gao

We study a discrete-time consensus model in which agents iteratively update their states through interactions on a dynamic social network. At each step, a single agent is selected asynchronously and averages the values of its current…

Systems and Control · Computer Science 2025-12-29 Hsin-Lun Li

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

This paper studies a consensus problem of multi-agent systems subjected to external disturbances over the clustered network. It considers that the agents are divided into several clusters. They are almost all the time isolated one from…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Thiem V. Pham , Quynh T. T. Nguyen

This paper presents continuous dynamic average consensus (DAC) algorithms for a group of agents to estimate the average of their time-varying reference signals cooperatively. We propose consensus algorithms that are robust to agents joining…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Solomon Gudeta , Ali Karimoddini , Mohammadreza Davoodi

We consider continuous-time consensus systems whose interactions satisfy a form or reciprocity that is not instantaneous, but happens over time. We show that these systems have certain desirable properties: They always converge…

Systems and Control · Computer Science 2015-10-20 Samuel Martin , Julien M. Hendrickx

Group consensus implies reaching multiple groups where agents belonging to the same cluster reach state consensus. This paper focuses on linear multi-agent systems under nonnegative directed graphs. A new necessary and sufficient condition…

Systems and Control · Electrical Eng. & Systems 2021-11-16 Zhongchang Liu , Wing Shing Wong

This paper studies the consensus problem for multiagent systems with transmission constraints. A novel model of multiagent systems is proposed where the information transmissions between agents are disturbed by irregular distortions or…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Xiaotian Wang , Housheng Su

The paper investigates consensus problem for continuous-time multi-agent systems with time-varying communication graphs subject to process noises. Borrowing the ideas from input-to-state stability (ISS) and integral input-to-state stability…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Guodong Shi , Karl Henrik Johansson