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Neural Processing Letters
Published in: Neural Processing Letters 1/2018

15-11-2017

Synchronization of Heterogeneous Partially Coupled Networks with Heterogeneous Impulses

Authors: Yaqi Wang, Jianquan Lu, Jungang Lou, Chengdan Ding, Fuad E. Alsaadi, Tasawar Hayat

Published in: Neural Processing Letters | Issue 1/2018

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Abstract

This paper discusses quasi-synchronization problem in an array of heterogeneous partially coupled dynamical networks. At first, based on the Lyapunov stability theorem and the comparison principle, sufficient quasi-synchronization criteria are presented such that the proposed heterogeneous partially coupled dynamical networks with heterogeneous impulses can be synchronized within a nonzero error bound. Then, by taking a specific matrix function, we obtain some lower-dimensional inequalities, which are easy to be verified. Moreover, we propose the design method of controllers under a given error bound and study the optimization problem for the error bound. Finally, a numerical example is provided to illustrate the efficiency of the obtained results.
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Metadata
Title
Synchronization of Heterogeneous Partially Coupled Networks with Heterogeneous Impulses
Authors
Yaqi Wang
Jianquan Lu
Jungang Lou
Chengdan Ding
Fuad E. Alsaadi
Tasawar Hayat
Publication date
15-11-2017
Publisher
Springer US
Published in
Neural Processing Letters / Issue 1/2018
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-017-9735-y

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