Exponential Outer Synchronization between Two Uncertain Time-Varying Complex Networks with Nonlinear Coupling

This paper studies the problem of exponential outer synchronization between two uncertain nonlinearly coupled complex networks with time delays. In order to synchronize uncertain complex networks, an adaptive control scheme is designed based on the Lyapunov stability theorem. Simultaneously, the unk...

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Main Authors: Yongqing Wu, Li Liu
Format: Article
Language:English
Published: MDPI AG 2015-05-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/17/5/3097
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author Yongqing Wu
Li Liu
author_facet Yongqing Wu
Li Liu
author_sort Yongqing Wu
collection DOAJ
description This paper studies the problem of exponential outer synchronization between two uncertain nonlinearly coupled complex networks with time delays. In order to synchronize uncertain complex networks, an adaptive control scheme is designed based on the Lyapunov stability theorem. Simultaneously, the unknown system parameters of uncertain complex networks are identified when exponential outer synchronization occurs. Finally, numerical examples are provided to demonstrate the feasibility and effectiveness of the theoretical results.
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spelling doaj.art-af88e35fa2ed49f79e59e2b6ab5de3302022-12-22T04:22:11ZengMDPI AGEntropy1099-43002015-05-011753097310910.3390/e17053097e17053097Exponential Outer Synchronization between Two Uncertain Time-Varying Complex Networks with Nonlinear CouplingYongqing Wu0Li Liu1Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai 200433, ChinaSchool of Software, Liaoning Technical University, Huludao 125105, ChinaThis paper studies the problem of exponential outer synchronization between two uncertain nonlinearly coupled complex networks with time delays. In order to synchronize uncertain complex networks, an adaptive control scheme is designed based on the Lyapunov stability theorem. Simultaneously, the unknown system parameters of uncertain complex networks are identified when exponential outer synchronization occurs. Finally, numerical examples are provided to demonstrate the feasibility and effectiveness of the theoretical results.http://www.mdpi.com/1099-4300/17/5/3097exponential synchronizationuncertain complex networksnonlinear couplingtime delays
spellingShingle Yongqing Wu
Li Liu
Exponential Outer Synchronization between Two Uncertain Time-Varying Complex Networks with Nonlinear Coupling
Entropy
exponential synchronization
uncertain complex networks
nonlinear coupling
time delays
title Exponential Outer Synchronization between Two Uncertain Time-Varying Complex Networks with Nonlinear Coupling
title_full Exponential Outer Synchronization between Two Uncertain Time-Varying Complex Networks with Nonlinear Coupling
title_fullStr Exponential Outer Synchronization between Two Uncertain Time-Varying Complex Networks with Nonlinear Coupling
title_full_unstemmed Exponential Outer Synchronization between Two Uncertain Time-Varying Complex Networks with Nonlinear Coupling
title_short Exponential Outer Synchronization between Two Uncertain Time-Varying Complex Networks with Nonlinear Coupling
title_sort exponential outer synchronization between two uncertain time varying complex networks with nonlinear coupling
topic exponential synchronization
uncertain complex networks
nonlinear coupling
time delays
url http://www.mdpi.com/1099-4300/17/5/3097
work_keys_str_mv AT yongqingwu exponentialoutersynchronizationbetweentwouncertaintimevaryingcomplexnetworkswithnonlinearcoupling
AT liliu exponentialoutersynchronizationbetweentwouncertaintimevaryingcomplexnetworkswithnonlinearcoupling