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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doaj-af88e35fa2ed49f79e59e2b6ab5de3302020-11-24T22:26:14ZengMDPI 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yongqing Wu Li Liu |
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 |
author_facet |
Yongqing Wu Li Liu |
author_sort |
Yongqing Wu |
title |
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_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_sort |
exponential outer synchronization between two uncertain time-varying complex networks with nonlinear coupling |
publisher |
MDPI AG |
series |
Entropy |
issn |
1099-4300 |
publishDate |
2015-05-01 |
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. |
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 |
_version_ |
1725754063633514496 |