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Synchronization control of coupled continuous-time linear systems is studied. For identical systems that are stabilizable, a linear feedback law obtained via algebraic Riccati equation is shown to synchronize any fixed directed network of…

Optimization and Control · Mathematics 2008-01-23 S. Emre Tuna

A network of delay-coupled logistic maps exhibits two different synchronization regimes, depending on the distribution of the coupling delay times. When the delays are homogeneous throughout the network, the network synchronizes to a…

Adaptation and Self-Organizing Systems · Physics 2011-05-31 Cristina Masoller , Fatihcan M. Atay

An event-triggered control technique for consensus of multi-agent systems with general linear dynamics is presented. This paper extends previous work to consider agents that are connected using directed graphs. Additionally, the approach…

Optimization and Control · Mathematics 2015-02-13 Eloy Garcia , Yongcan Cao , Xiaofeng Wang , David W. Casbeer

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

Synchronization resulting in unified collective behavior of the individual elements of a system that are weakly coupled to each other has long fascinated scientists. Examples range from the periodic oscillation of coupled pendulum clocks to…

We report a design of delay coupling for targeting desired synchronization in delay dynamical systems. We target synchronization, antisynchronization, lag-, antilag- synchronization, amplitude death (or oscillation death) and generalized…

Chaotic Dynamics · Physics 2012-07-04 Dibakar Ghosh , Ioan Grosu , Syamal Kumar Dana

We consider networks of coupled stochastic oscillators. When coupled we find strong collective oscillations, while each unit remains stochastic. In the limit (N\to \infty) we derive a system of integro-delay equations and show analytically…

Statistical Mechanics · Physics 2007-05-23 B. Naundorf , T. Prager , L. Schimansky-Geier

Understanding complex systems which exhibit desynchronization as an emergent property should have important implications, particularly in treating neurological disorders and designing efficient communication networks. Here were demonstrate…

Mathematical Physics · Physics 2012-11-06 J. Borresen , D. Broomhead

Decentralized control systems are widely used in a number of situations and applications. In order for these systems to function properly and achieve their desired goals, information must be propagated between agents, which requires…

Systems and Control · Electrical Eng. & Systems 2022-08-02 Paul Griffioen , Raffaele Romagnoli , Bruce H. Krogh , Bruno Sinopoli

We present a general emulation-based framework to address the distributed control of multi-agent systems over packet-based networks. We consider the setup where information is only transmitted at (non-uniform) sampling times and where…

Systems and Control · Electrical Eng. & Systems 2022-05-24 Koen J. A. Scheres , Victor S. Dolk , Michelle S. Chong , Romain Postoyan , W. P. Maurice H. Heemels

The present paper explores the synchronization scenario of hyperchaotic time-delayed electronic oscillators coupled indirectly via a common environment. We show that depending upon the coupling parameters a hyperchaotic time-delayed system…

Chaotic Dynamics · Physics 2013-07-23 Tanmoy Banerjee , Debabrata Biswas

We study a synchronization mechanism, based on one-way coupling of all-or-nothing type, applied to coupled map lattices with several different local rules. By analyzing the metric and the topological distance between the two systems, we…

Statistical Mechanics · Physics 2007-05-23 Franco Bagnoli , Lucia Baroni , Paolo Palmerini

We investigate the synchronization dynamics in a chain of coupled chaotic maps organized in a single-parent family tree, whose properties can be captured considering each parent node connected to two children, one of which also serves as…

Chaotic Dynamics · Physics 2025-11-13 Franco Bagnoli , Michele Baia , Tommaso Matteuzzi , Arkady Pikovsky

We investigate the dynamics of an array of logistic maps coupled with random delay times. We report that for adequate coupling strength the array is able to synchronize, in spite of the random delays. Specifically, we find that the…

Chaotic Dynamics · Physics 2009-11-10 Cristina Masoller , Arturo C. Marti

This paper studies the synchronization of stochastic linear systems which are subject to a general class of noises, in the sense that the noises are bounded in covariance but might be correlated with the states of agents and among each…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Jiaqi Yan , Yilin Mo , Hideaki Ishii

In this paper, the synchronization in a hyper-network of coupled dynamical systems is investigated for the first time. An evolving hyper-network model is proposed for better describing some complex systems. A concept of joint degree is…

Adaptation and Self-Organizing Systems · Physics 2015-03-13 Zhaoyan Wu , Jinqiao Duan , Xinchu Fu

Unidirectionally coupled area-preserving maps with a mixed phase space may show identical synchronization in the sticky neighborhood of the regular islands. We use this fact to devise numerical procedures to control (delay and expedite) the…

Chaotic Dynamics · Physics 2019-03-13 Swetamber Das

Synchronization is an important and prevalent phenomenon in natural and engineered systems. In many dynamical networks, the coupling is balanced or adjusted in order to admit global synchronization, a condition called Laplacian coupling.…

This paper addresses the dynamic event-triggered control for a class of discrete-time nonlinear systems described by a difference-algebraic representation (DAR), using a gain-scheduled controller. An outstanding aspect of the proposed…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Vitoriano Casas , Gabriela Reis , Pedro Henrique Coutinho , Iury Bessa , Rodrigo Araújo

In this paper, we characterize the synchronization phenomenon of hyperchaotic scalar non-linear delay dynamics in a fully-developed chaos regime. Our results rely on the observation that, in that regime, the stationary statistical…

Chaotic Dynamics · Physics 2008-10-08 Adrian A. Budini