Show simple item record

dc.contributor.authorPratap, A.
dc.contributor.authorRaja, R.
dc.contributor.authorSowmiya, C.
dc.contributor.authorBagdasar, Ovidiu
dc.contributor.authorCao, Jinde
dc.contributor.authorRajchakit, Grienggrai
dc.date.accessioned2018-04-26T15:49:39Z
dc.date.available2018-04-26T15:49:39Z
dc.date.issued2018-04-04
dc.identifier.citationPratap, A. et al (2018) 'Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses', Neural Networks, Vol. 103 pp.128-141.en
dc.identifier.issn08936080
dc.identifier.doi10.1016/j.neunet.2018.03.012
dc.identifier.urihttp://hdl.handle.net/10545/622702
dc.description.abstractFractional order system is playing an increasingly important role in terms of both theory and applications. In this paper we investigate the global existence of Filippov solutions and the robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses. By means of growth conditions, differential inclusions and generalized Gronwall inequality, a sufficient condition for the existence of Filippov solution is obtained. Then, sufficient criteria are given for the robust generalized Mittag-Leffler synchronization between discontinuous activation function of impulsive fractional order neural network systems with (or without) parameter uncertainties, via a delayed feedback controller and M-Matrix theory. Finally, four numerical simulations demonstrate the effectiveness of our main results.
dc.description.sponsorshipN/Aen
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0893608018301059en
dc.rightsArchived with thanks to Neural Networksen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectGeneralized Mittag-Leffler synchronizationen
dc.subjectDiscontinuous neural networksen
dc.subjectFilippov solutionsen
dc.subjectDelayed feedback controlleren
dc.subjectParameter uncertaintiesen
dc.titleRobust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses.en
dc.typeArticleen
dc.contributor.departmentUniversity of Derbyen
dc.identifier.journalNeural Networksen
dc.date.accepted2018-03-16
html.description.abstractFractional order system is playing an increasingly important role in terms of both theory and applications. In this paper we investigate the global existence of Filippov solutions and the robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses. By means of growth conditions, differential inclusions and generalized Gronwall inequality, a sufficient condition for the existence of Filippov solution is obtained. Then, sufficient criteria are given for the robust generalized Mittag-Leffler synchronization between discontinuous activation function of impulsive fractional order neural network systems with (or without) parameter uncertainties, via a delayed feedback controller and M-Matrix theory. Finally, four numerical simulations demonstrate the effectiveness of our main results.


Files in this item

Thumbnail
Name:
Publisher version
Thumbnail
Name:
(2018) Neural Networks Paper - ...
Size:
1.620Mb
Format:
PDF
Description:
Author Accepted Manuscript

This item appears in the following Collection(s)

Show simple item record

Archived with thanks to Neural Networks
Except where otherwise noted, this item's license is described as Archived with thanks to Neural Networks