Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control

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 stabil...

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Main Authors: Limin Zou, Yang Peng, Yuming Feng, Zhengwen Tu
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2017/5186714
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author Limin Zou
Yang Peng
Yuming Feng
Zhengwen Tu
author_facet Limin Zou
Yang Peng
Yuming Feng
Zhengwen Tu
author_sort Limin Zou
collection DOAJ
description 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.
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institution OA Journals
issn 1076-2787
1099-0526
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publishDate 2017-01-01
publisher Wiley
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spelling doaj-art-18b3eadcd3af430d9358cb08e642291a2025-08-20T02:02:12ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/51867145186714Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive ControlLimin Zou0Yang Peng1Yuming Feng2Zhengwen Tu3School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaSchool of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 404100, ChinaKey Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Chongqing 404100, ChinaKey Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Chongqing 404100, ChinaThe 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.http://dx.doi.org/10.1155/2017/5186714
spellingShingle Limin Zou
Yang Peng
Yuming Feng
Zhengwen Tu
Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control
Complexity
title Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control
title_full Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control
title_fullStr Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control
title_full_unstemmed Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control
title_short Stabilization and Synchronization of Memristive Chaotic Circuits by Impulsive Control
title_sort stabilization and synchronization of memristive chaotic circuits by impulsive control
url http://dx.doi.org/10.1155/2017/5186714
work_keys_str_mv AT liminzou stabilizationandsynchronizationofmemristivechaoticcircuitsbyimpulsivecontrol
AT yangpeng stabilizationandsynchronizationofmemristivechaoticcircuitsbyimpulsivecontrol
AT yumingfeng stabilizationandsynchronizationofmemristivechaoticcircuitsbyimpulsivecontrol
AT zhengwentu stabilizationandsynchronizationofmemristivechaoticcircuitsbyimpulsivecontrol