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Erschienen in: Neural Processing Letters 3/2018

22.01.2018

Global Dissipativity of Inertial Neural Networks with Proportional Delay via New Generalized Halanay Inequalities

verfasst von: Hongfei Li, Chuandong Li, Wei Zhang, Jing Xu

Erschienen in: Neural Processing Letters | Ausgabe 3/2018

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Abstract

This article is devoted to the global dissipativity of inertial neural networks with proportional delay. A novel generalized Halanay inequality which involves proportional delay is established. By constructing a new generalized Halanay inequality, several new explicit delay-independent conditions are derived in terms of linear matrix inequalities to ensure the global dissipativity of the considered system. Moreover, a new differential delay inequality which involves unbounded time-varying delay is considered. Due to the proportional delay is one type of unbounded time-varying delays, new analysis techniques can effectively avoid the difficulties caused by proportional delay by applying a new differential delay inequality. Especially, several novel delay-dependent sufficient conditions are obtained to guarantee the global dissipativity of the considered system. Finally, two simulations examples are provided to illustrate the validity of the proposed theoretical analysis.

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Metadaten
Titel
Global Dissipativity of Inertial Neural Networks with Proportional Delay via New Generalized Halanay Inequalities
verfasst von
Hongfei Li
Chuandong Li
Wei Zhang
Jing Xu
Publikationsdatum
22.01.2018
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 3/2018
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-018-9788-6

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