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Advances in Mathematical Physics
Volume 2017, Article ID 1843179, 8 pages
https://doi.org/10.1155/2017/1843179
Research Article

Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems

School of Mathematics and Statistics, Xidian University, Xi’an 710071, China

Correspondence should be addressed to Qiaoping Li; moc.621@1891gnipoaiqil

Received 27 October 2016; Revised 22 February 2017; Accepted 8 March 2017; Published 23 March 2017

Academic Editor: Zhi-Yuan Sun

Copyright © 2017 Qiaoping Li and Sanyang Liu. 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 modified function projective lag synchronization of the memristor-based five-order chaotic circuit system with unknown bounded disturbances is investigated. Based on the LMI approach and Lyapunov stability theorem, an adaptive control law is established to make the states of two different memristor-based five-order chaotic circuit systems asymptotically synchronized up to a desired scaling function matrix, while the parameter controlling strength update law is designed to estimate the parameters well. Finally, the simulation is put forward to demonstrate the correctness and effectiveness of the proposed methods. The control method involved is simple and practical.