Robust finite time stabilization analysis for uncertain neural networks with leakage delay and probabilistic time-varying delays Muthukumar, P, Subramanian, K and Lakshmanan, S 2016, Robust finite time stabilization analysis for uncertain neural networks with leakage delay and probabilistic time-varying delays, Journal of the Franklin Institute, vol. 353, no. 16, pp. 4091-4113, doi: 10.1016/j.jfranklin.2016.07.006. Attached Files Name Description MIMEType Size Downloads Title Robust finite time stabilization analysis for uncertain neural networks with leakage delay and probabilistic time-varying delays Author(s) Muthukumar, P Subramanian, K Lakshmanan, S orcid.org/0000-0002-4622-3782 Journal name Journal of the Franklin Institute Volume number 353 Issue number 16 Start page 4091 End page 4113 Total pages 23 Publisher Elsevier Place of publication Amsterdam, The Netherlands Publication date 2016-11 ISSN 0016-0032 Summary This paper investigates the problem of robust finite time stabilization for a uncertain neural networks with leakage delay and probabilistic time-varying delays. By introducing a stochastic variable which satisfies Bernoulli distribution, the information of probabilistic time-varying delay is equivalently transformed into the deterministic time-varying delay with stochastic parameters. The main objective of this paper is to design a memoryless state feedback control such that the resulting proposed system is robustly finite time stable with admissible uncertainties. Based on a suitable Lyapunov–Krasovskii functional, model transformation technique and Wirtinger-based double integral inequality, the general framework is obtained in terms of linear matrix inequalities to determine the finite time stability and to achieve the control design. Finally, three numerical examples are presented to validate the effectiveness and less conservatism of the proposed method. Language eng DOI 10.1016/j.jfranklin.2016.07.006 Field of Research 0102 Applied Mathematics 0906 Electrical And Electronic Engineering Socio Economic Objective 0 Not Applicable HERDC Research category C1 Refereed article in a scholarly journal Copyright notice ©2016, The Franklin Institute Persistent URL http://hdl.handle.net/10536/DRO/DU:30089101 Document type: Journal Article Collections: Institute for Intelligent Systems Research and Innovation (IISRI) GTP Research Related Links Link Description Connect to published version Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Thu, 17 Nov 2016, 10:24:48 EST Fri, 18 Nov 2016, 04:00:19 EST Fri, 18 Nov 2016, 07:15:54 EST Mon, 03 Apr 2017, 10:05:51 EST Tue, 04 Apr 2017, 06:03:27 EST Tue, 06 Jun 2017, 14:02:35 EST Tue, 06 Jun 2017, 14:06:43 EST Thu, 15 Jun 2017, 08:14:14 EST Sat, 12 May 2018, 02:32:15 EST Filtered Full Citation counts:   Cited 14 times in TR Web of Science Cited 16 times in Scopus Search Google Scholar Access Statistics: 221 Abstract Views, 2 File Downloads  -  Detailed Statistics Created: Mon, 03 Apr 2017, 10:05:51 EST

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