Experiments on node-to-node pinning control of Chua's circuits
type: Item
instance of: scholarly article
title: Experiments on node-to-node pinning control of Chua's circuits
zbMATH Open document ID: 1193.37140
author: M. Porfiri
author: F. Fiorilli
published in: Physica D
publication date: 2010-04-21T00:00:00Z
review text: Pinning controllability problems can be viewed as synchronization problems on augmented oscillator networks that incorporate the reference oscillator. In the paper, an experimental study of pinning controllability of coupled Chua's chaotic circuits is presented. Static and node-to-node pinning control is analyzed through an in-house developed experimental platform comprised of three Chua's circuits coupled through all their states. The parameters experimentally varied in the work are: the total pinning control gain, the number of pinned circuits in case of static pinning control, the connection strength between the oscillators, and the switching frequency for node-to-node pinning control. The novelty of the platform is in the full state time varying coupling of the three circuits. Experimental results are supported by analytical findings. Global pinning controllability of an oscillator network through node-to-node pinning control is analyzed. Sufficient stability conditions on the overall control gain and maximum switching period for global pinning controllability of an oscillator network are established in terms of network topology, coupling strength among the oscillators, and properties of the individual oscillator dynamics.
Mathematics Subject Classification ID: 37N35
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 5696546
zbMATH Keywords: pinning controllability
zbMATH Keywords: chaos synchronization
zbMATH Keywords: Chua's circuit
zbMATH Keywords: fast switching
zbMATH Keywords: global exponential stability
MaRDI profile type: Publication
full work available at URL: j.physd.2010.01.012
OpenAlex ID: W1981640399
cites work: Reaching a consensus via pinning control
cites work: Pinning Complex Networks by a Single Controller
cites work: Pinning synchronization of the complex networks with non-delayed and delayed coupling
cites work: Pinning a Complex Dynamical Network to Its Equilibrium
cites work: Adaptive dynamical networks via neighborhood information: Synchronization and pinning control
cites work: Criteria for global pinning-controllability of complex networks
cites work: Node-to-node pinning control of complex networks
cites work: On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks
cites work: Effects of the network structural properties on its controllability
cites work: Pinning control of scale-free dynamical networks
cites work: On the relationship between pinning control effectiveness and graph topology in complex networks of dynamical systems
cites work: On the \(V\)-stability of complex dynamical networks
cites work: On pinning synchronization of complex dynamical networks
cites work: Pinning adaptive synchronization of a general complex dynamical network
cites work: Pinning synchronization of delayed neural networks
cites work: Partial synchronization in linearly and symmetrically coupled ordinary differential systems
cites work: Complex networks: structure and dynamics
cites work: Global synchronization for directed complex networks
cites work: A simple global synchronization criterion for coupled chaotic systems.
cites work: Experimental pulse synchronisation of two chaotic circuits.
cites work: Global pulse synchronization of chaotic oscillators through fast-switching: theory and experiments
cites work: Master-Slave Global Stochastic Synchronization of Chaotic Oscillators
cites work: Generalized connection graph method for synchronization in asymmetrical networks
cites work: Connection graph stability method for synchronized coupled chaotic systems
cites work: Q2716030
cites work: Experimental robust synchronization of hyperchaotic circuits
cites work: Fast Switching Analysis of Linear Switched Systems Using Exponential Splitting
cites work: Transmitting information by controlling nonlinear oscillators
cites work: Theoretical and experimental time series analysis of an inductorless Chua's circuit
cites work: Experimental study of stochastic resonance in a Chua's circuit operating in a chaotic regime
DOI: 10.1016/J.PHYSD.2010.01.012
description: scientific article; zbMATH DE number 5696546