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Erschienen in: Neural Processing Letters 1/2018

15.11.2017

Synchronization of Heterogeneous Partially Coupled Networks with Heterogeneous Impulses

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

Erschienen in: Neural Processing Letters | Ausgabe 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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Metadaten
Titel
Synchronization of Heterogeneous Partially Coupled Networks with Heterogeneous Impulses
verfasst von
Yaqi Wang
Jianquan Lu
Jungang Lou
Chengdan Ding
Fuad E. Alsaadi
Tasawar Hayat
Publikationsdatum
15.11.2017
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 1/2018
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-017-9735-y

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