Nonfragile Exponential Synchronization of Delayed Complex Dynamical Networks With Memory Sampled-Data Control

This paper considers nonfragile exponential synchronization for complex dynamical networks (CDNs) with time-varying coupling delay. The sampled-data feedback control, which is assumed to allow norm-bounded uncertainty and involves a constant signal transmission delay, is constructed for the first ti...

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Bibliographic Details
Published in:IEEE transaction on neural networks and learning systems 2018-01, Vol.29 (1), p.118-128
Main Authors: Yajuan Liu, Bao-Zhu Guo, Park, Ju H., Sang-Moon Lee
Format: Article
Language:English
Subjects:
Complex dynamical networks (CDNs)
Control systems
Coupling
Couplings
Delay
Delays
Feedback
Feedback control
Formulations
Liapunov functions
Linear matrix inequalities
Mathematical analysis
Matrix methods
memory sampled-data control
nonfragile synchronization
Signal transmission
Symmetric matrices
Synchronism
Synchronization
time-varying coupling delay
Uncertainty
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Summary:This paper considers nonfragile exponential synchronization for complex dynamical networks (CDNs) with time-varying coupling delay. The sampled-data feedback control, which is assumed to allow norm-bounded uncertainty and involves a constant signal transmission delay, is constructed for the first time in this paper. By constructing a suitable augmented Lyapunov function, and with the help of introduced integral inequalities and employing the convex combination technique, a sufficient condition is developed, such that the nonfragile exponential stability of the error system is guaranteed. As a result, for the case of sampled-data control free of norm-bound uncertainties, some sufficient conditions of sampled-data synchronization criteria for the CDNs with time-varying coupling delay are presented. As the formulations are in the framework of linear matrix inequality, these conditions can be easily solved and implemented. Two illustrative examples are presented to demonstrate the effectiveness and merits of the proposed feedback control.
ISSN:2162-237X
2162-2388
DOI:10.1109/TNNLS.2016.2614709