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We study the local complete synchronization of discrete-time dynamical networks with time-varying couplings. Our conditions for the temporal variation of the couplings are rather general and include both variations in the network structure…

Dynamical Systems · Mathematics 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

In this paper, we discuss distributed adaptive algorithms for synchronization of complex networks, consensus of multi-agents with or without pinning controller. The dynamics of individual node is governed by generalized QUAD condition. We…

Adaptation and Self-Organizing Systems · Physics 2020-07-30 Wenlian Lu , Xiwei Liu , Tianping Chen

The stabilization of nonlinear systems under zero-state-detectability assumption or its analogues is considered. The proposed supervisory control provides a finite time practical stabilization of output and it is based on uniting local and…

Optimization and Control · Mathematics 2013-04-16 Denis Efimov , Alexander L. Fradkov

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

This letter investigates the problem of output synchronisation in heterogeneous dynamical networks with nonlinear diffusive couplings in the presence of disturbances on the coupling links. By exploiting relative dissipativity properties…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Yongkang Su , Joaquin Carrasco , Iñaki Esnaola , Lanlan Su

Sufficient conditions are derived for global asymptotic synchronization in a system of identical nonlinear electrical circuits coupled through linear time-invariant (LTI) electrical networks. In particular, the conditions we derive apply to…

Optimization and Control · Mathematics 2013-10-18 Sairaj Dhople , Brian Johnson , Florian Dorfler , Abdullah Hamadeh

This paper focuses on finite-time in-network computation of linear transforms of distributed graph data. Finite-time transform computation problems are of interest in graph-based computing and signal processing applications in which the…

Optimization and Control · Mathematics 2021-04-06 Soummya Kar , Markus Püschel , José M. F. Moura

In this paper, by using pinning impulse controller and hybrid controller respectively, the research difficulties of asymptotic synchronization and finite time cluster synchronization of time-varying delayed neural networks are studied. On…

Dynamical Systems · Mathematics 2021-06-07 Juan Cao , Fengli Ren , Dacheng Zhou

This paper deals with a distributed implementation of minimax adaptive control algorithm for networked dynamical systems modeled by a finite set of linear models. To hedge against the uncertainty arising out of finite number of possible…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Venkatraman Renganathan , Anders Rantzer , Olle Kjellqvist

A basic result in synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their outputs and neutrally stable, it is shown that a linear output feedback law…

Dynamical Systems · Mathematics 2008-01-21 S. Emre Tuna

Networks of nonlinear units with time-delayed couplings can synchronize to a common chaotic trajectory. Although the delay time may be very large, the units can synchronize completely without time shift. For networks of coupled Bernoulli…

Chaotic Dynamics · Physics 2015-03-17 A. Englert , S. Heiligenthal , W. Kinzel , I. Kanter

This paper gives convex conditions for synthesis of a distributed control system for large-scale networked nonlinear dynamic systems. It is shown that the technique of control contraction metrics (CCMs) can be extended to this problem by…

Systems and Control · Computer Science 2018-10-12 Humberto Stein Shiromoto , Max Revay , Ian R. Manchester

In this note, we study the prescribed-time (PT) synchronization of multiweighted and directed complex networks (MWDCNs) via pinning control. Unlike finite-time and fixed-time synchronization, the time for synchronization can be preset as…

Multiagent Systems · Computer Science 2022-06-29 Linlong Xu , Xiwei Liu

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…

Chaotic Dynamics · Physics 2007-05-23 Weigang Sun , Changpin Li , Zhengping Fan

We extend recent theoretical approximations describing the transition to synchronization in large undirected networks of coupled phase oscillators to the case of directed networks. We also consider extensions to networks with mixed…

Statistical Mechanics · Physics 2009-11-11 Juan G. Restrepo , Edward Ott , Brian R. Hunt

In this paper, we establish a few new synchronization conditions for complex networks with nonlinear and nonidentical self-dynamics with switching directed communication graphs. In light of the recent works on distributed sub-gradient…

Systems and Control · Computer Science 2015-10-19 Guodong Shi , Alexandre Proutiere , Karl Henrik Johansson

Linear control theory is used to develop an improved localized control scheme for spatially extended chaotic systems, which is applied to a Coupled Map Lattice as an example. The optimal arrangement of the control sites is shown to depend…

chao-dyn · Physics 2009-10-30 R. O. Grigoriev , M. C. Cross , H. G. Schuster

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…

Optimization and Control · Mathematics 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

This paper considers the fixed-time control problem of a multi-agent system composed of a class of Euler-Lagrange dynamics with parametric uncertainty and a dynamic leader under a directed communication network. A distributed fixed-time…

Optimization and Control · Mathematics 2022-02-17 Yi Dong , Zhiyong Chen

The aim of this paper is to analyze a class of consensus algorithms with finite-time or fixed-time convergence for dynamic networks formed by agents with first-order dynamics. In particular, in the analyzed class a single evaluation of a…