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This paper studies synchronization in coupled nonlinear dynamic networks with unknown parameters. Adaptation can be added to one or several elements in the network, while preserving the global synchronization conditions derived in…

适应与自组织系统 · 物理学 2007-05-23 Wei Wang , Jean-Jacques E. Slotine

We study the problem of synchronizing a general complex network by means of an adaptive strategy in the case where the network topology is slowly time varying and every node receives at each time only one aggregate signal from the set of…

无序系统与神经网络 · 物理学 2009-11-13 Francesco Sorrentino , Edward Ott

In this paper, we study synchronization in the delayed discrete-time complex networks. Several criterions of synchronization stability for such networks are established. And illustrative examples are presented. The numerical simulations…

混沌动力学 · 物理学 2007-05-23 Weigang Sun , Changpin Li , Zhengping Fan

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…

最优化与控制 · 数学 2009-12-14 Alexander L. Fradkov , Ibragim A. Junussov

Control of network systems with uncertain local dynamics has remained an open problem for a long time. In this paper, a distributed minimax adaptive control algorithm is proposed for such networks whose local dynamics has an uncertain…

系统与控制 · 电气工程与系统科学 2023-11-03 Venkatraman Renganathan , Anders Rantzer , Olle Kjellqvist

This work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a network of adaptively coupled phase oscillators with…

动力系统 · 数学 2021-06-25 Rico Berner , Serhiy Yanchuk

Today, complex networks have attracted increasing attention from various fields of science and engineering. It has been demonstrated that many complex networks display various synchronization phenomena. In this paper, we introduce a…

适应与自组织系统 · 物理学 2007-05-23 Jinhu Lu , Guanrong Chen

This paper presents an application of partial contraction analysis to the study of global synchronization in discrete chaotic systems. Explicit sufficient conditions on the coupling strength of networks of discrete oscillators are derived.…

混沌动力学 · 物理学 2007-05-23 Juan C. Botero , Jean-Jacques E. Slotine

Adaptive networks change their connectivity with time, depending on their dynamical state. While synchronization in structurally static networks has been studied extensively, this problem is much more challenging for adaptive networks. In…

适应与自组织系统 · 物理学 2021-01-20 Rico Berner , Simon Vock , Eckehard Schöll , Serhiy Yanchuk

This article studies the synchronization problem of complex dynamical networks. The impulsive control method is considered with a novel event-triggered pinning algorithm. Sufficient conditions on the network topology are obtained to ensure…

最优化与控制 · 数学 2024-02-29 Kexue Zhang

This paper is concerned with synchronization of complex stochastic dynamical networks in the presence of noise and functional uncertainty. A probabilistic control method for adaptive synchronization is presented. All required probabilistic…

最优化与控制 · 数学 2016-12-20 Randa Herzallah

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…

系统与控制 · 电气工程与系统科学 2020-10-07 Miguel F. Arevalo-Castiblanco , Duvan A. Tellez-Castro , Jorge Sofrony , Eduardo Mojica-Nava

We present and experimentally demonstrate a technique for achieving and maintaining a global state of identical synchrony of an arbitrary network of chaotic oscillators even when the coupling strengths are unknown and time-varying. At each…

It is a fundamental challenge to understand how the function of a network is related to its structural organization. Adaptive dynamical networks represent a broad class of systems that can change their connectivity over time depending on…

适应与自组织系统 · 物理学 2023-04-13 Rico Berner , Thilo Gross , Christian Kuehn , Jürgen Kurths , Serhiy Yanchuk

Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order…

适应与自组织系统 · 物理学 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

Synchronization is of central importance in power distribution, telecommunication, neuronal, and biological networks. Many networks are observed to produce patterns of synchronized clusters, but it has been difficult to predict these…

Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we study the asymptotic synchronization times…

无序系统与神经网络 · 物理学 2015-06-30 Carsten Grabow , Stefan Grosskinsky , Marc Timme

Real-world network systems are inherently dynamic, with network topologies undergoing continuous changes over time. Previous works often focus on static networks or rely on complete prior knowledge of evolving topologies, whereas real-world…

系统与控制 · 电气工程与系统科学 2025-09-03 Chunyu Pan , Xizhe Zhang , Haoyu Zheng , Zhao Su , Changsheng Zhang , Weixiong Zhang

This paper gives a fresh look at network synchronization. Here we no longer analyze it from the view of mathematics, such as graph theory, while we probe into one from control theory. First, we analyze the synchronization region using the…

系统与控制 · 电气工程与系统科学 2026-05-05 Jilie Zhang

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

最优化与控制 · 数学 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo
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