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This paper develops a control-theoretic framework for analyzing agentic systems embedded within feedback control loops, where an AI agent may adapt controller parameters, select among control strategies, invoke external tools, reconfigure…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Ali Eslami , Jiangbo Yu

As full AI-based automation remains out of reach in most real-world applications, the focus has instead shifted to leveraging the strengths of both human and AI agents, creating effective collaborative systems. The rapid advances in this…

Human-Computer Interaction · Computer Science 2024-04-19 Steffen Holter , Mennatallah El-Assady

Artificial neural networks and their applications in deep learning have recently made an incursion into the field of control. Deep learning techniques in control are often related to optimal control, which relies on Pontryagin maximum…

Optimization and Control · Mathematics 2025-01-15 Emmanuel Delaleau , Cédric Join , Michel Fliess

Synchronisation of coupled oscillators is a ubiquitous phenomenon, occurring in topics ranging from biology and physics, to social networks and technology. A fundamental and long-time goal in the study of synchronisation has been to find…

Adaptation and Self-Organizing Systems · Physics 2018-07-25 Edward J. Hancock , Georg A. Gottwald

Understanding the mechanisms that govern collective synchronization is a paramount task in nonlinear dynamics. While higher-order (many-body) interactions have recently emerged as a powerful framework for capturing collective behaviors,…

Adaptation and Self-Organizing Systems · Physics 2025-12-19 Narumi Fujii , Keisuke Taga , Riccardo Muolo , Bob Rink , Hiroya Nakao

In networks of coupled oscillators, it is of interest to understand how interaction topology affects synchronization. Many studies have gained key insights into this question by studying the classic Kuramoto oscillator model on static…

Adaptation and Self-Organizing Systems · Physics 2020-09-29 William Qian , Lia Papadopoulos , Zhixin Lu , Keith Wiley , Fabio Pasqualetti , Danielle S. Bassett

In this paper, we study the synchronization of identical Kuramoto phase oscillators under cumulative stochastic damage to the edges of networks. We analyze the capacity of coupled oscillators to reach a coherent state from initial random…

Statistical Mechanics · Physics 2023-10-31 Leidy Katherin Eraso Hernández , Alejandro P. Riascos

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

Cooperative multi-agent reinforcement learning faces significant challenges in effectively organizing agent relationships and facilitating information exchange, particularly when agents need to adapt their coordination patterns dynamically.…

Multiagent Systems · Computer Science 2025-05-26 Chiqiang Liu , Dazi Li

This paper addresses the problem of composite synchronization and learning control in a network of multi-agent robotic manipulator systems with heterogeneous nonlinear uncertainties under a leader-follower framework. A novel two-layer…

Multiagent Systems · Computer Science 2024-05-10 Emadodin Jandaghi , Dalton L. Stein , Adam Hoburg , Paolo Stegagno , Mingxi Zhou , Chengzhi Yuan

Networks incorporating higher-order interactions are increasingly recognized for their ability to introduce novel dynamics into various processes, including synchronization. Previous studies on synchronization within multilayer networks…

Adaptation and Self-Organizing Systems · Physics 2024-07-16 Palash Kumar Pal , Md Sayeed Anwar , Matjaz Perc , Dibakar Ghosh

Artificial Intelligence (AI) agents capable of autonomous learning and independent decision-making hold great promise for addressing complex challenges across various critical infrastructure domains, including transportation, energy…

Multiagent Systems · Computer Science 2025-07-02 Hepeng Li , Yuhong Liu , Jun Yan , Jie Gao , Xiaoou Yang

Synchronization is a ubiquitous phenomenon in complex systems. The Kuramoto model serves as a paradigmatic framework for understanding how coupled oscillators achieve collective rhythm. Conventional approaches focus on pairwise…

Adaptation and Self-Organizing Systems · Physics 2026-03-16 Zheng Wang , Jinjie Zhu , Xianbin Liu

Based on recent advances in fibration symmetry theory, we investigate how structural symmetries influence synchronization in systems with higher-order interactions (HOI). Using bipartite graph representations, we identify a node partition…

Dynamical Systems · Mathematics 2026-01-12 Margherita Bertè , Tommaso Gili

This position paper states that AI Alignment in Multi-Agent Systems (MAS) should be considered a dynamic and interaction-dependent process that heavily depends on the social environment where agents are deployed, either collaborative,…

Artificial Intelligence · Computer Science 2025-06-09 Florian Carichon , Aditi Khandelwal , Marylou Fauchard , Golnoosh Farnadi

The Kuramoto model captures various synchronization phenomena in biological and man-made systems of coupled oscillators. It is well-known that there exists a critical coupling strength among the oscillators at which a phase transition from…

Dynamical Systems · Mathematics 2011-05-06 Florian Dorfler , Francesco Bullo

Federated learning on heterogeneous (non-IID) client data experiences slow convergence due to client drift. To address this challenge, we propose Kuramoto-FedAvg, a federated optimization algorithm that reframes the weight aggregation step…

Machine Learning · Computer Science 2025-05-27 Aggrey Muhebwa , Khotso Selialia , Fatima Anwar , Khalid K. Osman

A new collective behavior of resonant synchronization is discovered and the ability to retrieve information from brain memory is proposed based on this mechanism. We use modified Kuramoto phase oscillator to simulate the dynamics of a…

Adaptation and Self-Organizing Systems · Physics 2018-09-06 Lin Zhang , Xv Li , Tingting Xue

We study the influence of motion on the emergence of synchronization in a metapopulation of random walkers moving on a heterogeneous network and subject to Kuramoto interactions at the network nodes. We discover a novel mechanism of…

Physics and Society · Physics 2013-04-16 Jesús Gómez-Gardeñes , Vincenzo Nicosia , Roberta Sinatra , Vito Latora

We introduce a novel coupling scheme for maximizing the synchronization of Kuramoto oscillator networks under a fixed coupling budget. We show that by scaling the interaction strength between oscillators according to their frequency…

Statistical Mechanics · Physics 2026-04-01 Amit Pando , Eran Bernstein , Tomer Hacohen , Nathan Vigne , Hui Cao , Oren Raz , Asher Friesem , Nir Davidson