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Some new less conservative criteria for impulsive synchronization of a hyperchaotic Lorenz system based on small impulsive signals

Li, Y. (2010) Some new less conservative criteria for impulsive synchronization of a hyperchaotic Lorenz system based on small impulsive signals. Nonlinear Analysis Real World Applications, 11 (2). pp. 713-719. ISSN 1468-1218

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Abstract

In this Letter the issue of impulsive Synchronization of a hyperchaotic Lorenz system is developed. We propose an impulsive synchronization scheme of the hyperchaotic Lorenz system including chaotic systems. Some new and sufficient conditions on varying impulsive distances are established in order to guarantee the synchronizability of the systems using the synchronization method. In particular, some simple conditions are derived for synchronizing the systems by equal impulsive distances. The boundaries of the stable regions are also estimated. Simulation results show the proposed synchronization method to be effective. (C) 2009 Elsevier Ltd. All rights reserved.

Item Type: Article
Copyright, Publisher and Additional Information: © 2010 Elsevier. This is an author produced version of a paper subsequently published in Nonlinear Analysis - Real World Applications. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Chaos; Impulsive synchronization; Hyperchaotic Lorenz system
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 25 Jan 2010 09:42
Last Modified: 08 Feb 2013 16:59
Published Version: http://dx.doi.org/10.1016/j.nonrwa.2009.01.017
Status: Published
Publisher: Elsevier
Refereed: Yes
Identification Number: 10.1016/j.nonrwa.2009.01.017
URI: http://eprints.whiterose.ac.uk/id/eprint/10322

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