Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems

Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems

With comprehensive consideration of generalized synchronization, combination synchronization and adaptive control, this paper investigates a novel adaptive generalized combination complex synchronization (AGCCS) scheme for different real and complex nonlinear systems with unknown parameters. On the...

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Main Authors: Shi-bing Wang, Xing-yuan Wang, Xiu-you Wang, Yu-fei Zhou
Format: Article
Language:English
Published: AIP Publishing LLC 2016-04-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4947300
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spelling doaj-e13f29b557574700b9f5da39d20109032020-11-25T01:06:00ZengAIP Publishing LLCAIP Advances2158-32262016-04-0164045011045011-1310.1063/1.4947300044604ADVAdaptive generalized combination complex synchronization of uncertain real and complex nonlinear systemsShi-bing Wang0Xing-yuan Wang1Xiu-you Wang2Yu-fei Zhou3School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, ChinaFaculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, ChinaSchool of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, ChinaCollege of Electrical Engineering and Automation, Anhui University, Hefei 230601, ChinaWith comprehensive consideration of generalized synchronization, combination synchronization and adaptive control, this paper investigates a novel adaptive generalized combination complex synchronization (AGCCS) scheme for different real and complex nonlinear systems with unknown parameters. On the basis of Lyapunov stability theory and adaptive control, an AGCCS controller and parameter update laws are derived to achieve synchronization and parameter identification of two real drive systems and a complex response system, as well as two complex drive systems and a real response system. Two simulation examples, namely, ACGCS for chaotic real Lorenz and Chen systems driving a hyperchaotic complex Lü system, and hyperchaotic complex Lorenz and Chen systems driving a real chaotic Lü system, are presented to verify the feasibility and effectiveness of the proposed scheme.http://dx.doi.org/10.1063/1.4947300
collection DOAJ
language English
format Article
sources DOAJ
author Shi-bing Wang
Xing-yuan Wang
Xiu-you Wang
Yu-fei Zhou
spellingShingle Shi-bing Wang
Xing-yuan Wang
Xiu-you Wang
Yu-fei Zhou
Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems
AIP Advances
author_facet Shi-bing Wang
Xing-yuan Wang
Xiu-you Wang
Yu-fei Zhou
author_sort Shi-bing Wang
title Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems
title_short Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems
title_full Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems
title_fullStr Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems
title_full_unstemmed Adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems
title_sort adaptive generalized combination complex synchronization of uncertain real and complex nonlinear systems
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2016-04-01
description With comprehensive consideration of generalized synchronization, combination synchronization and adaptive control, this paper investigates a novel adaptive generalized combination complex synchronization (AGCCS) scheme for different real and complex nonlinear systems with unknown parameters. On the basis of Lyapunov stability theory and adaptive control, an AGCCS controller and parameter update laws are derived to achieve synchronization and parameter identification of two real drive systems and a complex response system, as well as two complex drive systems and a real response system. Two simulation examples, namely, ACGCS for chaotic real Lorenz and Chen systems driving a hyperchaotic complex Lü system, and hyperchaotic complex Lorenz and Chen systems driving a real chaotic Lü system, are presented to verify the feasibility and effectiveness of the proposed scheme.
url http://dx.doi.org/10.1063/1.4947300
work_keys_str_mv AT shibingwang adaptivegeneralizedcombinationcomplexsynchronizationofuncertainrealandcomplexnonlinearsystems
AT xingyuanwang adaptivegeneralizedcombinationcomplexsynchronizationofuncertainrealandcomplexnonlinearsystems
AT xiuyouwang adaptivegeneralizedcombinationcomplexsynchronizationofuncertainrealandcomplexnonlinearsystems
AT yufeizhou adaptivegeneralizedcombinationcomplexsynchronizationofuncertainrealandcomplexnonlinearsystems
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