Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems Nam, P.T., Trinh, H. and Pathirana, P.N. 2015, Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems, Journal of the Franklin Institute, vol. 352, no. 12, pp. 5810-5831, doi: 10.1016/j.jfranklin.2015.09.018. Attached Files Name Description MIMEType Size Downloads Title Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems Author(s) Nam, P.T. Trinh, H. orcid.org/0000-0003-3438-9969 Pathirana, P.N. orcid.org/0000-0001-8014-7798 Journal name Journal of the Franklin Institute Volume number 352 Issue number 12 Start page 5810 End page 5831 Total pages 22 Publisher Elsevier Place of publication Amsterdam, The Netherlands Publication date 2015-12 ISSN 0016-0032 Summary Abstract This paper presents new discrete inequalities for single summation and double summation. These inequalities are based on multiple auxiliary functions and include the Jensen discrete inequality and the discrete Wirtinger-based inequality as special cases. An application of these discrete inequalities to analyse stability of linear discrete systems with an interval time-varying delay is studied and a less conservative stability condition is obtained. Three numerical examples are given to show the effectiveness of the obtained stability condition. Language eng DOI 10.1016/j.jfranklin.2015.09.018 Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory 010204 Dynamical Systems in Applications 090602 Control Systems, Robotics and Automation Socio Economic Objective 970109 Expanding Knowledge in Engineering HERDC Research category C1 Refereed article in a scholarly journal ERA Research output type C Journal article Grant ID DP130101532 Copyright notice ©2015, Elsevier Persistent URL http://hdl.handle.net/10536/DRO/DU:30079795 Document type: Journal Article Collections: Faculty of Science, Engineering and Built Environment School of Engineering Related Links Link Description Connect to published version Go to link with your DU access privileges   Publisher URL 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 Wed, 25 Nov 2015, 09:21:54 EST Thu, 26 Nov 2015, 04:00:23 EST Thu, 26 Nov 2015, 07:26:47 EST Wed, 09 Dec 2015, 14:24:42 EST Thu, 10 Dec 2015, 05:12:24 EST Thu, 10 Dec 2015, 12:15:52 EST Thu, 17 Dec 2015, 07:56:21 EST Wed, 09 Nov 2016, 11:37:41 EST Filtered Full Citation counts:   Cited 36 times in TR Web of Science Cited 37 times in Scopus Search Google Scholar Access Statistics: 467 Abstract Views, 3 File Downloads  -  Detailed Statistics Created: Wed, 09 Dec 2015, 14:24:42 EST

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