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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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2015-05, Vol.17 (5), p.3097-3109
Main Authors: Wu, Yongqing, Liu, Li
Format: Article
Language:English
Subjects:
Entropy
exponential synchronization
Feasibility
Joining
Mathematical models
Networks
nonlinear coupling
Synchronism
Synchronization
Time delay
time delays
uncertain complex networks
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Summary: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.
ISSN:1099-4300
1099-4300
DOI:10.3390/e17053097