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The leader-following consensus of multiple linear time invariant (LTI) systems under switching topology is considered. The leader-following consensus problem consists of designing for each agent a distributed protocol to make all agents…

Optimization and Control · Mathematics 2012-11-08 Wei Ni , Xiaoli Wang , Chun Xiong

The Friedkin-Johnsen (FJ) model is a popular opinion dynamics model that explains the disagreement that can occur even among closely interacting individuals. Cluster consensus is a special type of disagreement, where agents in a network…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Aashi Shrinate , Twinkle Tripathy , Laxmidhar Behera

Cluster synchronization is a phenomenon in which oscillators in a given network are partitioned into synchronous clusters. As recently shown, diverse cluster synchronization patterns can be found using network symmetry when the oscillators…

Chaotic Dynamics · Physics 2019-05-24 Young Sul Cho

Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the synchronous motion of coupled maps in time-varying complex…

Chaotic Dynamics · Physics 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

This paper studies a consensus protocol over a group of agents driven by second order dynamics. The communication among members of the group is assumed to be directed and affected by two rationally independent time delays, one in the…

Optimization and Control · Mathematics 2014-07-04 Rudy Cepeda-Gomez , Nejat Olgac

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 paper, we consider a robust consensus tracking problem of heterogeneous multi-agent systems with time-varying interconnection topologies. Based on common Lyapunov function and internal model techniques, both state and output…

Optimization and Control · Mathematics 2015-08-14 Yutao Tang

It is well known that the employed triggering scheme has great impact on the control performance when control loops operate under scarce communication resources. Various practical and simulative works have demonstrated the potential of…

Systems and Control · Electrical Eng. & Systems 2023-01-16 David Meister , Frank Aurzada , Mikhail A. Lifshits , Frank Allgöwer

In this paper, the fast consensus problem of high-order multi-agent systems under undirected topologies is considered. The direct link between the consensus convergence rate and the control gains is established. An accelerated consensus…

Optimization and Control · Mathematics 2022-05-18 Jiahao Dai , Jing-Wen Yi , Li Chai

Social network data are relational data recorded among a group of actors, interacting in different contexts. Often, the same set of actors can be characterized by multiple social relations, captured by a multidimensional network. A common…

Methodology · Statistics 2021-12-24 Silvia D'Angelo , Marco Alfò , Michael Fop

We propose a distributed event-triggered control law to solve the consensus problem for multi-agent systems with nonlinear output. Under the condition that the underlying digraph is strongly connected, we propose some sufficient conditions…

Systems and Control · Computer Science 2019-04-16 Xinlei Yi , Shengjun Zhang , Tao Yang , Junfeng Wu , Karl H. Johansson

We investigate networks of automata that synchronise over common action labels. A graph synchronisation topology between the automata is defined in such a way that two automata are connected iff they can synchronise over an action. We show…

Logic in Computer Science · Computer Science 2020-12-10 Laure Petrucci , Michał Knapik

Phase transitions are crucial in shaping the collective dynamics of a broad spectrum of natural systems across disciplines. Here, we report two distinct heterogeneous nucleation facilitating single-step and multi-step phase transitions to…

Adaptation and Self-Organizing Systems · Physics 2024-01-23 Akash Yadav , Jan Fialkowski , Rico Berner , V. K. Chandrasekar , D. V. Senthilkumar

We study the impact of interaction of nodes in a layer of a multiplex network on the dynamical behavior and cluster synchronization of these nodes in other layers. We find that nodes interactions in one layer affects the cluster…

Chaotic Dynamics · Physics 2014-12-18 Sarika Jalan , Aradhana Singh

This work addresses the synchronization/consensus problem of identical multi-agent system (MAS) where the agents' dynamics are linear and the communication network is arbitrarily switching among connected topologies. The approach uses a…

Systems and Control · Electrical Eng. & Systems 2022-11-24 Chong Jin Ong , Ilayda Canyakmaz

The paper addresses the synchronization of multi-agent systems with continuous-time dynamics interacting through a very general class of monotonic continuous signal functions that covers estimation biases, approximation of discrete…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Anthony Couthures , Vineeth S. Varma , Samson Lasaulce , Irinel-Constantin Morarescu

We propose a node clustering method for time-varying graphs based on the assumption that the cluster labels are changed smoothly over time. Clustering is one of the fundamental tasks in many science and engineering fields including signal…

Machine Learning · Computer Science 2023-05-12 Katsuki Fukumoto , Koki Yamada , Yuichi Tanaka , Hoi-To Wai

This paper investigates the fixed-time consensus problem for a class of multi-agent systems with simple dynamics. Unlike the traditional way to realize fixed-time convergence, a novel strategy using the property of periodic functions is…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Yuquan Chen , Fumian Wang , Bing Wang

Guaranteed-cost consensus for high-order nonlinear multi-agent networks with switching topologies is investigated. By constructing a time-varying nonsingular matrix with a specific structure, the whole dynamics of multi-agent networks is…

Systems and Control · Computer Science 2018-02-23 Jianxiang Xi , Zhiliang Fan , Hao Liu , Tang Zheng

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