A novel approach to state bounding for discrete-time Markovian jump systems with interval time-varying delay Hien, Le Van, Dzung, Nguyen Trung and Minh, Ha Binh 2016, A novel approach to state bounding for discrete-time Markovian jump systems with interval time-varying delay, IMA journal of mathematical control and information, vol. 33, no. 2, pp. 293-307, doi: 10.1093/imamci/dnu043. Attached Files Name Description MIMEType Size Downloads Title A novel approach to state bounding for discrete-time Markovian jump systems with interval time-varying delay Author(s) Hien, Le Van Dzung, Nguyen Trung Minh, Ha Binh Journal name IMA journal of mathematical control and information Volume number 33 Issue number 2 Start page 293 End page 307 Total pages 15 Publisher Oxford University Press Place of publication Oxford, Eng. Publication date 2016-06 ISSN 0265-0754 1471-6887 Keyword(s) Markov jump systems mean square bounded discrete-time time-varying delays Summary This paper concerns with the problem of state bounding for a class of discrete-time Markovian jump systems with interval time-varying delay. By constructing a new Lyapunov–Krasovskii functional combining with the delay-decomposition technique and the reciprocally convex approach, new delay-range-dependent conditions are derived ensuring that all state trajectories of the system are mean square bounded. These conditions are derived in terms of matrix inequalities which can be computationallysolved to find a smallest possible bound of mean square. A numerical example is provided to verify the effectiveness of the obtained result. Language eng DOI 10.1093/imamci/dnu043 Field of Research 0102 Applied Mathematics 0103 Numerical And Computational Mathematics Socio Economic Objective 970109 Expanding Knowledge in Engineering HERDC Research category C1.1 Refereed article in a scholarly journal ERA Research output type C Journal article Copyright notice ©2014, The Authors Persistent URL http://hdl.handle.net/10536/DRO/DU:30087338 Document type: Journal Article Collection: School of Engineering 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, 13 Oct 2016, 09:57:55 EST Fri, 14 Oct 2016, 04:06:26 EST Fri, 14 Oct 2016, 07:19:37 EST Fri, 14 Oct 2016, 07:26:11 EST Wed, 24 May 2017, 14:31:37 EST Thu, 25 May 2017, 06:02:42 EST Mon, 12 Jun 2017, 13:59:24 EST Mon, 12 Jun 2017, 14:03:23 EST Mon, 12 Jun 2017, 14:04:15 EST Sat, 16 Jun 2018, 02:31:54 EST Filtered Full Citation counts:   Cited 9 times in TR Web of Science Cited 11 times in Scopus Search Google Scholar Access Statistics: 18 Abstract Views, 0 File Downloads  -  Detailed Statistics Created: Wed, 24 May 2017, 14:31:37 EST

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