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An approach based on the kernel methods for capturing the nonlinear interdependence between two signals is introduced. It is demonstrated that the proposed approach is useful for characterizing generalized synchronization with a successful…

Chaotic Dynamics · Physics 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stability criteria focusing on the interplay of network structures and the local dynamics of synchronous…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Philipp C. Böttcher , Dirk Witthaut , Leonardo Rydin Gorjão

Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex networks and show that the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Changsong Zhou , Adilson E. Motter , Jurgen Kurths

This paper considers the cluster synchronization problem of generic linear dynamical systems whose system models are distinct in different clusters. These nonidentical linear models render control design and coupling conditions highly…

Systems and Control · Electrical Eng. & Systems 2021-11-05 Zhongchang Liu , Wing Shing Wong , Hui Cheng

We study synchronization in heterogeneous FitzHugh-Nagumo networks. It is well known that heterogeneities in the nodes hinder synchronization when becoming too large. Here, we develop a controller to counteract the impact of these…

Adaptation and Self-Organizing Systems · Physics 2016-08-10 S. A. Plotnikov , J. Lehnert , A. L. Fradkov , E. Schöll

The interaction topology among the constituents of a complex network plays a crucial role in the network's evolutionary mechanisms and functional behaviors. However, some network topologies are usually unknown or uncertain. Meanwhile,…

Chaotic Dynamics · Physics 2016-06-22 Yingfei Wang , Xiaoqun Wu , Hui Feng , Jun-an Lu , Yuhua Xu

We investigate the effects of structural perturbations of both, undirected and directed diffusive networks on their ability to synchronize. We establish a classification of directed links according to their impact on synchronizability. We…

Dynamical Systems · Mathematics 2017-12-19 Jan Philipp Pade , Camille Poignard , Tiago Pereira

Adaptive networks have the capability to pursue solutions of global stochastic optimization problems by relying only on local interactions within neighborhoods. The diffusion of information through repeated interactions allows for globally…

Multiagent Systems · Computer Science 2021-03-30 Stefan Vlaski , Ali H. Sayed

Synchronization phenomena are pervasive in coupled nonlinear systems across the natural world and engineering domains. Understanding how to dynamically identify the parameter space (or network structure) of coupled nonlinear systems in a…

Biological Physics · Physics 2024-09-25 Yong Wu , Qianming Ding , Weifang Huang , Tianyu Li , Dong Yu , Ya Jia

The paper addresses state estimation for clock synchronization in the presence of factors affecting the quality of synchronization. Examples are temperature variations and delay asymmetry. These working conditions make synchronization a…

Networking and Internet Architecture · Computer Science 2022-12-08 Maurizio Mongelli , Stefano Scanzio

Systems that synchronize in nature are intrinsically different from one another, with possibly large differences from system to system. While a vast part of the literature has investigated the emergence of network synchronization for the…

Systems and Control · Electrical Eng. & Systems 2023-09-01 Amirhossein Nazerian , Shirin Panahi , Francesco Sorrentino

The paper addresses the synchronization of multi-agent systems with continuous-time dynamics interacting through a very general class of monotonic continuous signal functions that covers estimation biases, approximation of discrete…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Anthony Couthures , Vineeth S. Varma , Samson Lasaulce , Irinel-Constantin Morarescu

In this article, we study algorithms for dynamic networks with asynchronous start, i.e., each node may start running the algorithm in a different round. Inactive nodes transmit only heartbeats, which contain no information but can be…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-27 Bernadette Charron-Bost , Shlomo Moran

We consider the problem of designing distributed controllers to guarantee dissipativity of a networked system comprised of dynamically coupled subsystems. We require that the control synthesis is carried out locally at the subsystem-level,…

Systems and Control · Computer Science 2020-04-30 Etika Agarwal , S. Sivaranjani , Vijay Gupta , Panos Antsaklis

This paper presents an online adaptive learning solution to optimal synchronization control problem of heterogeneous multi-agent systems via a novel distributed policy iteration approach.

Systems and Control · Electrical Eng. & Systems 2020-11-12 Yuanqiang Zhou , Dewei Li , Furong Gao

Previous research claimed or disclaimed the role of a small diameter in the synchronization of a network of coupled dynamical systems. We investigate this connection and show that it is two folds. We first construct two classes of networks,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Wei Lin , Xiaowei Zhan

Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress…

Disordered Systems and Neural Networks · Physics 2009-11-11 Adilson E. Motter , Changsong Zhou , Juergen Kurths

In this paper, the problem of pinning control for synchronization of complex dynamical networks is discussed. A cost function of the controlled network is defined by the feedback gain and the coupling strength of the network. An interesting…

Networking and Internet Architecture · Computer Science 2007-10-16 Rong Li , Zhisheng Duan , Guanrong Chen

Computer networks have become a critical infrastructure. In fact, networks should not only meet strict requirements in terms of correctness, availability, and performance, but they should also be very flexible and support fast updates,…

Networking and Internet Architecture · Computer Science 2019-03-27 Klaus-Tycho Foerster , Stefan Schmid , Stefano Vissicchio

This paper considers the problem of controlling a piecewise continuously differentiable system subject to time-varying uncertainties. The uncertainties are decomposed into a time-invariant, linearly-parameterized portion and a time-varying…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Ying-Chun Chen , Craig Woolsey