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Complexity
Volume 2017 (2017), Article ID 5186714, 10 pages
https://doi.org/10.1155/2017/5186714
Research Article

Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control

1School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
2School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, China
3Key Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Chongqing 404100, China

Correspondence should be addressed to Limin Zou

Received 14 April 2017; Revised 26 June 2017; Accepted 6 November 2017; Published 5 December 2017

Academic Editor: Sigurdur F. Hafstein

Copyright © 2017 Limin Zou 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

The purpose of this note is to study impulsive control and synchronization of memristor based chaotic circuits shown by Muthuswamy. We first establish a less conservative sufficient condition for the stability of memristor based chaotic circuits. After that, we discuss the effect of errors on stability. Meanwhile, we also discuss impulsive synchronization of two memristor based chaotic systems. Our results are more general and more applicable than the ones shown by Yang, Li, and Huang. Finally, several numerical examples are given to show the effectiveness of our methods.