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Discrete inequalities based on multiple auxiliary functions and their applications to stability analysis of time-delay systems
journal contribution
posted on 2015-12-01, 00:00 authored by P T Nam, Hieu TrinhHieu Trinh, Pubudu PathiranaPubudu PathiranaAbstract
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.
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.
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Journal
Journal of the Franklin InstituteVolume
352Issue
12Pagination
5810 - 5831Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
ISSN
0016-0032Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2015, ElsevierUsage metrics
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