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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 369842, 8 pages
http://dx.doi.org/10.1155/2014/369842
Research Article

Stabilization and Synchronization of Unified Chaotic System via Impulsive Control

College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China

Received 22 May 2014; Accepted 5 June 2014; Published 26 June 2014

Academic Editor: Yonghui Xia

Copyright © 2014 Cheng Hu and Haijun Jiang. 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

The impulsive control and synchronization of unified chaotic system are proposed. By applying impulsive control theory and introducing a piecewise continuous auxiliary function, some novel and useful conditions are provided to guarantee the globally asymptotical stabilization and synchronization of unified chaotic system under impulsive control. Compared with some previous results, our criteria are superior and less conservative. Finally, the effectiveness of theoretical results is shown through numerical simulations.