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Multi-agent systems on nonlinear spaces sometimes fail to synchronize. This is usually attributed to the initial configuration of the agents being too spread out, the graph topology having certain undesired symmetries, or both. Besides…

Optimization and Control · Mathematics 2019-03-19 Johan Markdahl

Consensus algorithms are popular distributed algorithms for computing aggregate quantities, such as averages, in ad-hoc wireless networks. However, existing algorithms mostly address the case where the measurements lie in a Euclidean space.…

Dynamical Systems · Mathematics 2012-02-02 Roberto Tron , Bijan Afsari , René Vidal

Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been…

Quantum Physics · Physics 2022-03-23 Berislav Buca , Cameron Booker , Dieter Jaksch

Many real-world systems of coupled agents exhibit directed interactions, meaning that the influence of an agent on another is not reciprocal. Furthermore, interactions usually do not have identical amplitude and/or sign. To describe…

Adaptation and Self-Organizing Systems · Physics 2019-08-13 Robin Delabays , Philippe Jacquod , Florian Dörfler

Clustering on the unit hypersphere is a fundamental problem in various fields, with applications ranging from gene expression analysis to text and image classification. Traditional clustering methods are not always suitable for unit sphere…

Machine Learning · Computer Science 2026-03-06 Zinaid Kapić , Aladin Crnkić , Goran Mauša

This report surveys results on distributed systems comprising mobile agents that are identical and anonymous, oblivious and interact solely by adjusting their motion according to the relative location of their neighbours. The agents are…

Multiagent Systems · Computer Science 2019-02-06 Ariel Barel , Rotem Manor , Alfred M. Bruckstein

This paper proposes matrix-scaled consensus algorithm, which generalizes the scaled consensus algorithm in \cite{Roy2015scaled}. In (scalar) scaled consensus algorithms, the agents' states do not converge to a common value, but to different…

Optimization and Control · Mathematics 2022-08-16 Minh Hoang Trinh , Dung Van Vu , Quoc Van Tran , Hyo-Sung Ahn

Synchronization is a major concept in nonlinear physics. In a large number of systems, it is observed at long times for a sinusoidal excitation. In this paper, we design a transiently non-sinusoidal driving to reach the synchronization…

Quantum Physics · Physics 2023-01-11 François Impens , David Guéry-Odelin

Time synchronization is a critical task in robotic computing such as autonomous driving. In the past few years, as we developed advanced robotic applications, our synchronization system has evolved as well. In this paper, we first introduce…

Robotics · Computer Science 2021-03-31 Shaoshan Liu , Bo Yu , Yahui Liu , Kunai Zhang , Yisong Qiao , Thomas Yuang Li , Jie Tang , Yuhao Zhu

This paper studies the synchronization of a multi-agent system where the agents are coupled through heterogeneous controller gains. Synchronization refers to the situation where all the agents in a group have a common velocity direction. We…

Systems and Control · Computer Science 2016-03-15 Anoop Jain , Debasish Ghose

For a finite number of agents evolving on a Euclidean space and linked to each other by a connected graph, the Laplacian flow that is based on the inter-agent errors, ensures consensus or synchronization for both first and second-order…

Systems and Control · Electrical Eng. & Systems 2022-09-05 Rama Seshan Chandrasekharan , Ravi N Banavar , Arun D Mahindrakar

In this paper we study a family of controllers that guarantees attitude synchronization for a network of elements in the unit sphere domain, i.e. $\mathcal{S}^2$. We propose distributed continuous controllers for elements whose dynamics are…

Systems and Control · Computer Science 2016-07-07 Pedro O. Pereira , Dimos V. Dimarogonas

Distributed synchronization is known to occur at several scales in the brain, and has been suggested as playing a key functional role in perceptual grouping. State-of-the-art visual grouping algorithms, however, seem to give comparatively…

Computer Vision and Pattern Recognition · Computer Science 2008-07-21 Guoshen Yu , Jean-Jacques Slotine

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

We consider a multi-agent system where each agent has its own estimate of a given quantity and the goal is to reach consensus on the average. To this purpose, we propose a distributed consensus algorithm that guarantees convergence to the…

Optimization and Control · Mathematics 2016-08-31 Alessandro Falsone , Kostas Margellos , Simone Garatti , Maria Prandini

Synchronization is crucial for the correct functionality of many natural and man-made complex systems. In this work we characterize the formation of synchronization patterns in networks of Kuramoto oscillators. Specifically, we reveal…

Optimization and Control · Mathematics 2017-09-20 Lorenzo Tiberi , Chiara Favaretto , Mario Innocenti , Danielle S. Bassett , Fabio Pasqualetti

In this paper, we study the problem of robust global synchronization of resetting clocks in multi-agent networked systems, where by robust global synchronization we mean synchronization that is insensitive to arbitrarily small disturbances,…

Systems and Control · Computer Science 2020-06-24 Muhammad U. Javed , Jorge I. Poveda , Xudong Chen

This work presents a decentralized time synchronization algorithm for multi-agent systems. Each agent possesses two clocks, a hardware clock that is perturbed by environmental phenomena (e.g., temperature, humidity, pressure, g forces,…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Federico M. Zegers , Sean Phillips

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

The phenomenon of synchronization, where entities exhibit stable oscillations with aligned frequencies and phases, has been detected in diverse areas of natural science. It plays a crucial role in achieving frequency locking in multiple…

Quantum Physics · Physics 2025-06-24 Tong Liu , Laura García-Álvarez , Giovanna Tancredi