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

Entropy

Baogui Xin¹  Zhiheng Wu² 

[1] Nonlinear Science Center, School of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China; E-Mail

关键词: discrete dynamical systems;    chaos attractors;    chaos synchronization;    linear feedback control;   

DOI  :  10.3390/e17052677

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland