Parameters Identification and Synchronization of Chaotic Delayed Systems Containing Uncertainties and Time-Varying Delay
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Sun, Zhongkui& Sun, Zhongkui. 2010. Parameters Identification and Synchronization of Chaotic Delayed Systems Containing Uncertainties and Time-Varying Delay. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-446759
Modern Language Association (MLA)
Sun, Zhongkui& Sun, Zhongkui. Parameters Identification and Synchronization of Chaotic Delayed Systems Containing Uncertainties and Time-Varying Delay. Mathematical Problems in Engineering No. 2010 (2010), pp.1-15.
https://search.emarefa.net/detail/BIM-446759
American Medical Association (AMA)
Sun, Zhongkui& Sun, Zhongkui. Parameters Identification and Synchronization of Chaotic Delayed Systems Containing Uncertainties and Time-Varying Delay. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-15.
https://search.emarefa.net/detail/BIM-446759
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446759