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Erschienen in: Neural Processing Letters 2/2019

13.08.2018

Synchronization for Nonlinear Complex Spatio-Temporal Networks with Multiple Time-Invariant Delays and Multiple Time-Varying Delays

verfasst von: Chengdong Yang, Tingwen Huang, Kejia Yi, Ancai Zhang, Xiangyong Chen, Zhenxing Li, Jianlong Qiu, Fuad E. Alsaadi

Erschienen in: Neural Processing Letters | Ausgabe 2/2019

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Abstract

This paper deals with the problem for synchronization of a nonlinear time delayed complex spatio-temporal network (CSN), modelled by semi-linear parabolic partial differential-difference equations. A boundary controller relying to distributed measurement is designed. Multiple time-invariant delays are firstly considered. By employing Lyapunov’s direct method and Wirtingers inequality, synchronization criteria of the CSN are presented in terms of LMIs. And then, multiple time-varying delays are respectively considered using the boundary controller and synchronization criteria are obtained. Finally, an example illustrates the effectiveness of the proposed method.

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Metadaten
Titel
Synchronization for Nonlinear Complex Spatio-Temporal Networks with Multiple Time-Invariant Delays and Multiple Time-Varying Delays
verfasst von
Chengdong Yang
Tingwen Huang
Kejia Yi
Ancai Zhang
Xiangyong Chen
Zhenxing Li
Jianlong Qiu
Fuad E. Alsaadi
Publikationsdatum
13.08.2018
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 2/2019
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-018-9900-y

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