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Entropy 2015, 17(5), 2677-2687; doi:10.3390/e17052677

Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control

Nonlinear Science Center, School of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China
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Academic Editor: J. A. Tenreiro Machado
Received: 27 February 2015 / Revised: 7 April 2015 / Accepted: 22 April 2015 / Published: 27 April 2015
(This article belongs to the Section Complexity)
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Abstract

A projective synchronization scheme for a kind of n-dimensional discrete dynamical system is proposed by means of a linear feedback control technique. The scheme consists of master and slave discrete dynamical systems coupled by linear state error variables. A kind of novel 3-D chaotic discrete system is constructed, to which the test for chaos is applied. By using the stability principles of an upper or lower triangular matrix, two controllers for achieving projective synchronization are designed and illustrated with the novel systems. Lastly some numerical simulations are employed to validate the effectiveness of the proposed projective synchronization scheme. View Full-Text
Keywords: discrete dynamical systems; chaos attractors; chaos synchronization; linear feedback control discrete dynamical systems; chaos attractors; chaos synchronization; linear feedback control
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Xin, B.; Wu, Z. Projective Synchronization of Chaotic Discrete Dynamical Systems via Linear State Error Feedback Control. Entropy 2015, 17, 2677-2687.

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