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Discrete Wirtinger-based inequality and its application

Nam, Phan T., Pathirana, Pubudu N. and Trinh, Hieu 2015, Discrete Wirtinger-based inequality and its application, Journal of the Franklin Institute, vol. 352, no. 5, pp. 1893-1905, doi: 10.1016/j.jfranklin.2015.02.004.

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Title Discrete Wirtinger-based inequality and its application
Author(s) Nam, Phan T.
Pathirana, Pubudu N.ORCID iD for Pathirana, Pubudu N. orcid.org/0000-0001-8014-7798
Trinh, HieuORCID iD for Trinh, Hieu orcid.org/0000-0003-3438-9969
Journal name Journal of the Franklin Institute
Volume number 352
Issue number 5
Start page 1893
End page 1905
Total pages 13
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2015-05
ISSN 0016-0032
Keyword(s) Science & Technology
Technology
Physical Sciences
Automation & Control Systems
Engineering, Multidisciplinary
Engineering, Electrical & Electronic
Mathematics, Interdisciplinary Applications
Engineering
Mathematics
TIME-VARYING DELAY
IMPROVED STABILITY-CRITERION
DEPENDENT STABILITY
STATE DELAY
SYSTEMS
STABILIZATION
DESIGN
Summary In this paper, we derive a new inequality, which encompasses the discrete Jensen inequality. The new inequality is applied to analyze stability of linear discrete systems with an interval time-varying delay and a less conservative stability condition is obtained. Two numerical examples are given to show the effectiveness of the obtained stability condition.
Language eng
DOI 10.1016/j.jfranklin.2015.02.004
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, The Franklin Institute
Free to Read? Yes
Free to Read Start Date 2017-06-01
Persistent URL http://hdl.handle.net/10536/DRO/DU:30069973

Document type: Journal Article
Collections: School of Engineering
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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.