Componentwise ultimate bounds for positive discrete time-delay systems perturbed by interval disturbances Nam, Phan T., Trinh, Hieu M. and Pathirana, Pubudu N. 2016, Componentwise ultimate bounds for positive discrete time-delay systems perturbed by interval disturbances, Automatica, vol. 72, pp. 153-157, doi: 10.1016/j.automatica.2016.06.007. Attached Files Name Description MIMEType Size Downloads Title Componentwise ultimate bounds for positive discrete time-delay systems perturbed by interval disturbances Author(s) Nam, Phan T. Trinh, Hieu M. orcid.org/0000-0003-3438-9969 Pathirana, Pubudu N. orcid.org/0000-0001-8014-7798 Journal name Automatica Volume number 72 Start page 153 End page 157 Total pages 5 Publisher Elsevier Place of publication Amsterdam, The Netherlands Publication date 2016-10 ISSN 0005-1098 1873-2836 Keyword(s) componentwise ultimate bounds positive systems time-varying delays interval disturbances nonlinear systems Summary This paper presents a method to derive componentwise ultimate upper bounds and componentwise ultimate lower bounds for linear positive systems with time-varying delays and bounded disturbances. The disturbance vector is assumed to vary within a known interval whose lower bound may be different from zero. We first derive a sufficient condition for the existence of componentwise ultimate bounds. This condition is given in terms of the spectral radius of the system matrices which is easy to check and allows us to compute directly both the smallest componentwise ultimate upper bound and the largest componentwise ultimate lower bound. Then, by using the comparison method, we extend the obtained result to a class of nonlinear time-delay systems which has linear positive bounds. Two numerical examples are given to illustrate the effectiveness of the obtained results. Language eng DOI 10.1016/j.automatica.2016.06.007 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 ©2016, Elsevier Persistent URL http://hdl.handle.net/10536/DRO/DU:30085207 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     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Wed, 03 Aug 2016, 10:20:41 EST Thu, 04 Aug 2016, 05:01:32 EST Tue, 09 Aug 2016, 06:08:25 EST Mon, 10 Oct 2016, 08:30:08 EST Mon, 10 Oct 2016, 08:35:39 EST Mon, 10 Oct 2016, 08:36:19 EST Wed, 09 Nov 2016, 11:17:27 EST Filtered Full Citation counts:   Cited 10 times in TR Web of Science Cited 9 times in Scopus Search Google Scholar Access Statistics: 420 Abstract Views, 2 File Downloads  -  Detailed Statistics Created: Wed, 03 Aug 2016, 10:20:41 EST

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