A solution for the generalized synchronization of a class of chaotic systems based on output feedback
type: Item
instance of: scholarly article
title: A solution for the generalized synchronization of a class of chaotic systems based on output feedback
zbMATH Open document ID: 1394.93092
DOI: 10.1155/2015/848203
author: Rafael Martínez-Guerra
author: Claudia A. Pérez-Pinacho
author: Miguel S. Suárez-Castañón
author: Carlos Aguilar-Ibañez
author: Eloísa García-Canseco
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A solution to the output-feedback \textit{generalized synchronization} problem for two chaotic systems, namely, the master and the slave, is presented. The solution assumes that the slave is controlled by a single input, and the states of each system are partially known. To this end, both systems are expressed in their corresponding observable generalized canonical form, through their differential primitive element. The nonavailable state variables of both systems are recovered using a suitable Luenberger observer. The convergence analysis was carried out using the linear control approach in conjunction with the Lyapunov method. Convincing numerical simulations are presented to assess the effectiveness of the obtained solution.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 6927380
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/848203
OpenAlex ID: W1864334704
Wikidata QID: Q59119654
cites work: Channel-independent chaotic secure communication
cites work: Generalized synchronization of chaos for secure communication: Remarkable stability to noise
cites work: A Modified Earthquake Model of Self-Organized Criticality on Small World Networks
cites work: Generalized synchronization in chaotic systems
cites work: Time scale synchronization of chaotic oscillators
cites work: Generalized synchronization of different dimensional chaotic dynamical systems
cites work: Linear generalized synchronization of continuous-time chaotic systems.
cites work: Chaos synchronization between two different fractional systems of Lorenz family
cites work: Generalized synchronization between two complex dynamical networks with time-varying delay and nonlinear coupling
cites work: Chaotic control and generalized synchronization for a hyperchaotic Lorenz-Stenflo system
cites work: GENERALIZED SYNCHRONIZATION OF CHAOS VIA LINEAR TRANSFORMATIONS
cites work: Generalized synchronization of chaos in electronic circuit experiments
cites work: Q5680222
cites work: Generalized synchronization via the differential primitive element
cites work: Generalized controller canonical form for linear and nonlinear dynamics
cites work: Synchronization of integral and fractional order chaotic systems. A differential algebraic and differential geometric approach with selected applications in real-time
cites work: Q5425309
cites work: Generalized synchronization of continuous chaotic system
cites work: Asymptotic synchronization of the Colpitts oscillator
cites work: Flatness-based linear output feedback control for disturbance rejection and tracking tasks on a Chua's circuit
description: scientific article; zbMATH DE number 6927380