Parameters identification and synchronization of chaotic delayed systems containing uncertainties and time-varying delay
type: Item
instance of: scholarly article
title: Parameters identification and synchronization of chaotic delayed systems containing uncertainties and time-varying delay
zbMATH Open document ID: 1189.37091
DOI: 10.1155/2010/105309
author: Zhongkui Sun
author: Xiaoli Yang
published in: Mathematical Problems in Engineering
publication date: 2010-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/228199
review text: Summary: Time delays are ubiquitous in real world and are often sources of complex behaviors of dynamical systems. This paper addresses the problem of parameters identification and synchronization of uncertain chaotic delayed systems subject to time-varying delay. Firstly, a novel and systematic adaptive scheme of synchronization is proposed for delayed dynamical systems containing uncertainties based on Razumikhin condition and extended invariance principle for functional differential equations. Then, the proposed adaptive scheme is used to estimate the unknown parameters of nonlinear delayed systems from time series, and a sufficient condition is given by virtue of this scheme. The delayed system under consideration is a very generic one that includes almost all well-known delayed systems (neural network, complex networks, etc.). Two classical examples are used to demonstrate the effectiveness of the proposed adaptive scheme.
Mathematics Subject Classification ID: 37M10
zbMATH DE Number: 5728465
MaRDI profile type: Publication
OpenAlex ID: W1986323075
Wikidata QID: Q58652898
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description: scientific article; zbMATH DE number 5728465