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Spontaneous synchronization of an ensemble of metronomes placed on a freely rotating platform is studied experimentally and by computer simulations. A striking in-phase synchronization is observed when the metronomes' beat frequencies are…

Chaotic Dynamics · Physics 2015-06-11 Szilard Boda , Zoltan Neda , Botond Tyukodi , Arthur Tunyagi

We provide a rigorous solution to the problem of constructing a structural evolution for a network of coupled identical dynamical units that switches between specified topologies without constraints on their structure. The evolution of the…

Physics and Society · Physics 2016-01-20 Charo I. del Genio , Miguel Romance , Regino Criado , Stefano Boccaletti

Solving optimal control problems to determine a stabilizing controller involves a significant computational effort. Time-varying optimal control provides a remedy by designing a tracking system, given as an ordinary differential equation,…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Patrick Schmidt , Stefan Streif

Transient and equilibrium synchronizations in complex neuronal networks as a consequence of dynamics induced by having sources placed at specific neurons are investigated. The basic integrate-and-fire neuron is adopted, and the dynamics is…

Neurons and Cognition · Quantitative Biology 2008-02-18 Luciano da Fontoura Costa

We introduce a novel concept of generalized synchronization, able to encompass the setting of collective synchronized behavior for mutually coupled systems and networking systems featuring complex topologies in their connections. The onset…

Chaotic Dynamics · Physics 2013-02-19 Olga Moskalenko , Alexey Koronovskii , Alexander Hramov , Stefano Boccaletti

Synchronization of coupled oscillators is a fundamental process in both natural and artificial networks. While much work has investigated the asymptotic stability of the synchronous solution, the fundamental question of the transient…

Adaptation and Self-Organizing Systems · Physics 2024-10-22 Amirhossein Nazerian , Joseph D Hart , Matteo Lodi , Francesco Sorrentino

We present a passivity-agnostic framework for distributed adaptive synchronization under position-only communication, bounded disturbances, and unknown leader dynamics. By passivity-agnostic we mean the design does not require the closed…

Systems and Control · Electrical Eng. & Systems 2026-03-04 Moh Kamalul Wafi , Milad Siami

We study chaotic synchronization in a 5D Hindmarsh--Rose neuron model augmented with electromagnetic induction and a switchable memristive autapse. For two diffusively coupled identical neurons, we derive the transverse error dynamical…

Adaptation and Self-Organizing Systems · Physics 2026-03-10 Behnam Babaeian , Marius E. Yamakou

This work proposes a novel distributed framework for verifying the incremental stability of large-scale systems with unknown dynamics and known interconnection structures using graph neural networks. Our proposed approach relies on the…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Ahan Basu , Mahathi Anand , Pushpak Jagtap

Auxiliary system approach and various nearest neighbor methods are widely used to detect generalized synchronization in non-identical coupled systems. These methods generally give contradictory results. Therefore one method alone is not…

Adaptation and Self-Organizing Systems · Physics 2018-02-19 S. Satpathy , B. Ganguli

This article provides a self-contained comprehensive review of the phenomenon of synchronization in dynamical systems, with a particular focus on chaotic systems in both continuous-time and discrete-time contexts. Synchronization, initially…

Chaotic Dynamics · Physics 2024-12-31 Rosario D. Laureano , Diana A. Mendes , Manuel Alberto M. Ferreira

This paper studies the problem of stabilization of a nonlinear system with time-varying delays in both sensing and actuation using event-triggered control. Our proposed strategy seeks to opportunistically minimize the number of control…

Systems and Control · Computer Science 2020-01-14 Erfan Nozari , Pavankumar Tallapragada , Jorge Cortés

In this work we study the dynamics of Kuramoto oscillators on a stochastically evolving network whose evolution is governed by the phases of the individual oscillators and degree distribution. Synchronization is achieved after a threshold…

Physics and Society · Physics 2015-10-28 R. K. Singh , Trilochan Bagarti

This paper presents a framework for the study of convergence when the nodes' dynamics may be both piecewise smooth and/or nonidentical across the network. Specifically, we derive sufficient conditions for global convergence of all node…

Dynamical Systems · Mathematics 2014-04-08 Pietro DeLellis , Mario di Bernardo , Davide Liuzza

Robust stabilization conditions for uncertain switched affine systems subject to a unitary input delay are presented. They are obtained through the Lyapunov framework and a min-switching state-feedback predictive control law. The result…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Gerson Portilla , Carolina Albea , Alexandre Seuret

The robust tracking and model following problem of linear discrete-time systems is investigated in this paper. An approach to design robust tracking controllers is proposed. The system is controlled to track dynamic inputs generated from a…

Systems and Control · Computer Science 2016-07-12 Omar Zakary , Mostafa Rachik

This work studies the design problem of feedback stabilizers for discrete-time systems with input delays. A backstepping procedure is proposed for disturbance-free discrete-time systems. The feedback law designed by using backstepping…

Optimization and Control · Mathematics 2012-12-05 Iasson Karafyllis , Miroslav Krstic

Hybrid systems with memory are dynamical systems exhibiting both hybrid and delay phenomena. In this note, we study the asymptotic stability of hybrid systems with memory using generalized concepts of solutions. These generalized solutions,…

Dynamical Systems · Mathematics 2015-07-22 Jun Liu , Andrew R. Teel

This letter demonstrates how synthetic inertia can be obtained with the control of flexible discrete devices to keep the power balance of power systems, even if the system does not include any synchronous generator or conventional…

Systems and Control · Electrical Eng. & Systems 2025-04-23 A. Vaca , F. Milano

This technical note studies Lyapunov-like conditions to ensure a class of dynamical systems to exhibit predefined-time stability. The origin of a dynamical system is predefined-time stable if it is fixed-time stable and an upper bound of…