Adaptive synchronization between fractional-order chaotic real and complex systems with unknown parameters
type: Item
instance of: scholarly article
title: Adaptive synchronization between fractional-order chaotic real and complex systems with unknown parameters
zbMATH Open document ID: 1419.93048
DOI: 10.1155/2014/484039
author: Xiaomin Tian
published in: Discrete Dynamics in Nature and Society
publication date: 2019-08-23T00:00:00Z
review text: Summary: The complex modified projective synchronization (CMPS) between fractional-order chaotic real and complex systems is investigated for the first time. The parameters of both master and slave systems are assumed to be unknown in advance; moreover, the slave system is perturbed by unknown but bounded external disturbances. The master and slave systems that achieved CMPS can be synchronized up to a complex constant matrix. On the basis of frequency distributed model of fractional integrator and Lyapunov stability theory, a robust adaptive control law is designed to realize the CMPS for two different types of fractional-order chaotic systems. Meanwhile, to deal with these unknown parameters, some fractional-order type parametric update laws are provided. An example is given to demonstrate the effectiveness and feasibility of the proposed synchronization scheme.
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 7097655
Wikidata QID: Q59039238
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/484039
OpenAlex ID: W2102173408
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description: scientific article