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Mathematical Problems in Engineering
Volume 2014, Article ID 859573, 14 pages
http://dx.doi.org/10.1155/2014/859573
Research Article

Lag, Anticipated, and Complete Synchronization and Cascade Control in the Dynamical Systems

1School of Mathematics and Information Science, Shaoguan University, Shaoguan 512005, China
2School of Mathematics and Computational Science, Sun Yat-sen University, Guangzhou 510275, China

Received 10 November 2013; Accepted 30 November 2013; Published 30 January 2014

Academic Editor: Ahmed El Wakil

Copyright © 2014 Yin Li et al. 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.

Abstract

We obtain the lag, anticipated, and complete hybrid projective synchronization control (LACHPS) of dynamical systems to study the chaotic attractors and control problem of the chaotic systems. For illustration, we take the Colpitts oscillators as an example to achieve the analytical expressions of control functions. Numerical simulations are used to show the effectiveness of the proposed technique.