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

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

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 memris...

Full description

Bibliographic Details
Main Authors: Qiaoping Li, Sanyang Liu
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2017/1843179
id doaj-824a40678dfe46d6abe40dacb5d27fc8
record_format Article
spelling doaj-824a40678dfe46d6abe40dacb5d27fc82021-07-02T06:36:40ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/18431791843179Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit SystemsQiaoping Li0Sanyang Liu1School of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaThe 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.http://dx.doi.org/10.1155/2017/1843179
collection DOAJ
language English
format Article
sources DOAJ
author Qiaoping Li
Sanyang Liu
spellingShingle Qiaoping Li
Sanyang Liu
Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems
Advances in Mathematical Physics
author_facet Qiaoping Li
Sanyang Liu
author_sort Qiaoping Li
title Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems
title_short Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems
title_full Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems
title_fullStr Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems
title_full_unstemmed Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems
title_sort adaptive modified function projective lag synchronization of memristor-based five-order chaotic circuit systems
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2017-01-01
description 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.
url http://dx.doi.org/10.1155/2017/1843179
work_keys_str_mv AT qiaopingli adaptivemodifiedfunctionprojectivelagsynchronizationofmemristorbasedfiveorderchaoticcircuitsystems
AT sanyangliu adaptivemodifiedfunctionprojectivelagsynchronizationofmemristorbasedfiveorderchaoticcircuitsystems
_version_ 1721337009658658816

Similar Items