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We discuss the synchronization of coupled neurons which are modelled as FitzHugh-Nagumo systems. As smallest entity in a larger network, we focus on two diffusively coupled subsystems, which can be interpreted as two mutually interacting…

Chaotic Dynamics · Physics 2008-09-05 Philipp Hoevel , Markus A. Dahlem , Eckehard Schoell

Feedback optimisation is an emerging technique aiming at steering a system to an optimal steady state for a given objective function. We show that it is possible to employ this control strategy in a distributed manner. Moreover, we prove…

Optimization and Control · Mathematics 2022-03-01 Antonio Terpin , Sylvain Fricker , Michel Perez , Mathias Hudoba de Badyn , Florian Dörfler

Synchronization of chaos arises between coupled dynamical systems and is very well understood as a temporal phenomena which leads the coupled systems to converge or develop a dependence with time. In this work, we provide a complementary…

Dynamical Systems · Mathematics 2019-10-23 Aditi Kathpalia , Nithin Nagaraj

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

Animal swarms displaying a variety of typical flocking patterns would not exist without underlying safe, optimal and stable dynamics of the individuals. The emergence of these universal patterns can be efficiently reconstructed with…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 Csaba Virágh , Gábor Vásárhelyi , Norbert Tarcai , Tamás Szörényi , Gergő Somorjai , Tamás Nepusz , Tamás Vicsek

Overcoming robotics challenges in the real world requires resilient control systems capable of handling a multitude of environments and unforeseen events. Evolutionary optimization using simulations is a promising way to automatically…

Robotics · Computer Science 2019-04-12 Jørgen Nordmoen , Tønnes F. Nygaard , Kai Olav Ellefsen , Kyrre Glette

This paper studies the synchronization problem of second-order nonlinear multi-agent systems with intermittent communication in the presence of irregular communication delays and possible information loss. The control objective is to steer…

Optimization and Control · Mathematics 2015-05-07 Abdelkader Abdessameud , Ilia G. Polushin , Abdelhamid Tayebi

Adaptive synchronization protocols for heterogeneous multi-agent network are investigated. The interaction between each of the agents is carried out through a directed graph. We highlight the lack of communication between agents and the…

Systems and Control · Electrical Eng. & Systems 2020-10-07 Miguel F. Arevalo-Castiblanco , Duvan A. Tellez-Castro , Jorge Sofrony , Eduardo Mojica-Nava

The possibility for detuned spins to display synchronous oscillations in local observables is analyzed in the presence of collective dissipation and incoherent pumping. We show that there exist two distinct mechanisms that can give rise to…

Quantum Physics · Physics 2021-05-21 Albert Cabot , Gian Luca Giorgi , Roberta Zambrini

For a network of interconnected nonlinear dynamical systems an adaptive leader-follower output feedback synchronization problem is considered. The proposed structure of decentralized controller and adaptation algorithm is based on…

Optimization and Control · Mathematics 2009-12-14 Alexander L. Fradkov , Ibragim A. Junussov

We introduce a novel approach addressing global analysis of a difficult class of nonconvex-nonsmooth optimization problems within the important framework of Lagrangian-based methods. This genuine nonlinear class captures many problems in…

Optimization and Control · Mathematics 2018-01-10 Jérôme Bolte , Shoham Sabach , Marc Teboulle

Dynamic task allocation is an essential requirement for multi-robot systems operating in unknown dynamic environments. It allows robots to change their behavior in response to environmental changes or actions of other robots in order to…

Robotics · Computer Science 2007-05-23 Kristina Lerman , Chris Jones , Aram Galstyan , Maja J Mataric

From a mathematical point of view self-organization can be described as patterns to which certain dynamical systems modeling social dynamics tend spontaneously to be attracted. In this paper we explore situations beyond self-organization,…

Optimization and Control · Mathematics 2014-03-24 Marco Caponigro , Massimo Fornasier , Benedetto Piccoli , Emmanuel Trélat

This paper proposes to analyze the motion stability of synchro-nous generator power systems using a Lagrangian model derived in the configuration space of generalized position and speed. In the first place, a Lagrangian model of synchronous…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Feng Ji , Lu Gao , Chang Lin , Yang Liu

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

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

Continuum robots (CRs), owing to their compact structure, inherent compliance, and flexible deformation, have been widely applied in various fields. By coordinating multiple CRs to form collaborative continuum robots (CCRs), task…

Robotics · Computer Science 2026-01-19 Xinyu Li , Qian Tang , Guoxin Yin , Gang Zheng , Jessica Burgner-Kahrs , Cesare Stefanini , Ke Wu

Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the…

Chaotic Dynamics · Physics 2016-09-08 Jianping Cai , Meili Lin

We present a parallelized primal-dual algorithm for solving constrained convex optimization problems. The algorithm is "block-based," in that vectors of primal and dual variables are partitioned into blocks, each of which is updated only by…

Optimization and Control · Mathematics 2022-05-04 Katherine Hendrickson , Matthew Hale

In this paper, the complete synchronization problem of linearly coupled neural networks with reaction-diffusion terms and time-varying delays via aperiodically intermittent pinning control is investigated. The coupling matrix for the…

Systems and Control · Computer Science 2016-04-13 Xiwei Liu , Zhang Chen , Lingjun Zhou
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