Robust Synchronization of Hyperchaotic Systems with Uncertainties and External Disturbances
The robust synchronization of hyperchaotic systems with uncertainties and external disturbances is investigated. Based on the Lyapunov stability theory, the appropriate adaptive controllers and parameter update laws are designed to achieve the synchronization of uncertain hyperchaotic systems. The r...
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2014/523572 |
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doaj-575bbfb9566441b8b3711dbac64c7ade2020-11-24T22:49:02ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/523572523572Robust Synchronization of Hyperchaotic Systems with Uncertainties and External DisturbancesQing Wang0Yongguang Yu1Hu Wang2Department of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaThe robust synchronization of hyperchaotic systems with uncertainties and external disturbances is investigated. Based on the Lyapunov stability theory, the appropriate adaptive controllers and parameter update laws are designed to achieve the synchronization of uncertain hyperchaotic systems. The robust synchronization of two hyperchaotic Chen systems is taken as an example to verify the feasibility of the presented schemes. The size of the subcontroller gain’s influences on the convergence speed is discussed. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed synchronization schemes.http://dx.doi.org/10.1155/2014/523572 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qing Wang Yongguang Yu Hu Wang |
spellingShingle |
Qing Wang Yongguang Yu Hu Wang Robust Synchronization of Hyperchaotic Systems with Uncertainties and External Disturbances Journal of Applied Mathematics |
author_facet |
Qing Wang Yongguang Yu Hu Wang |
author_sort |
Qing Wang |
title |
Robust Synchronization of Hyperchaotic Systems with Uncertainties and External Disturbances |
title_short |
Robust Synchronization of Hyperchaotic Systems with Uncertainties and External Disturbances |
title_full |
Robust Synchronization of Hyperchaotic Systems with Uncertainties and External Disturbances |
title_fullStr |
Robust Synchronization of Hyperchaotic Systems with Uncertainties and External Disturbances |
title_full_unstemmed |
Robust Synchronization of Hyperchaotic Systems with Uncertainties and External Disturbances |
title_sort |
robust synchronization of hyperchaotic systems with uncertainties and external disturbances |
publisher |
Hindawi Limited |
series |
Journal of Applied Mathematics |
issn |
1110-757X 1687-0042 |
publishDate |
2014-01-01 |
description |
The robust synchronization of hyperchaotic systems with uncertainties and external disturbances is investigated. Based on the Lyapunov stability theory, the appropriate adaptive controllers and parameter update laws are designed to achieve the synchronization of uncertain hyperchaotic systems. The robust synchronization of two hyperchaotic Chen systems is taken as an example to verify the feasibility of the presented schemes. The size of the subcontroller gain’s influences on the convergence speed is discussed. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed synchronization schemes. |
url |
http://dx.doi.org/10.1155/2014/523572 |
work_keys_str_mv |
AT qingwang robustsynchronizationofhyperchaoticsystemswithuncertaintiesandexternaldisturbances AT yongguangyu robustsynchronizationofhyperchaoticsystemswithuncertaintiesandexternaldisturbances AT huwang robustsynchronizationofhyperchaoticsystemswithuncertaintiesandexternaldisturbances |
_version_ |
1725677445644812288 |