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Auxiliary Function-based Integral/Summation Inequalities: Application to Continuous/Discrete Time-Delay Systems SCIE SCOPUS KCI

Title
Auxiliary Function-based Integral/Summation Inequalities: Application to Continuous/Discrete Time-Delay Systems
Authors
Park, PLee, WILee, SY
Date Issued
2016-02
Publisher
"INST CONTROL ROBOTICS & SYSTEMS, KOREAN INST ELECTRICAL ENG
Abstract
In the field of stability analysis for time-delay systems, finding precise bounds of integral/summationforms of quadratic functions plays a key role in reducing the conservatism. Consequently, there have been manyattempts to develop inequalities yielding much tighter bounds. This paper develops novel inequalities using intermediateterms called auxiliary functions, which includes the existing inequalities as special cases. The stabilityconditions for continuous/discrete time-delay systems are derived in terms of linear matrix inequalities (LMIs) byusing the proposed inequalities with simple numerical examples.
URI
https://oasis.postech.ac.kr/handle/2014.oak/36410
DOI
10.1007/S12555-015-2002-Y
ISSN
1598-6446
Article Type
Article
Citation
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, vol. 14, no. 1, page. 3 - 11, 2016-02
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박부견PARK, POOGYEON
Dept of Electrical Enginrg
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