New stability analysis for discrete time-delay systems via auxiliary-function-based summation inequalities
SCIE
SCOPUS
- Title
- New stability analysis for discrete time-delay systems via auxiliary-function-based summation inequalities
- Authors
- Park, P; Lee, SY; Lee, WI
- Date Issued
- 2016-12
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Abstract
- For the stability analysis of discrete time-delay systems, Jensen inequality has been widely used as the method supporting inequalities for summation quadratic functions. It not only requires a smaller number of decision variables than other approaches but also achieves identical or comparable performance behavior. Based on the analysis for the conservatism of Jensen inequality, however, this paper suggests a new summation inequality say an auxiliary-function-based summation inequality. It is verified that the proposed inequality is a generalized form of the novel summation inequality reported recently. Also, an application to stability analysis for discrete time-delay systems is provided. (C) 2016 Published by Elsevier Ltd. on behalf of The Franklin Institute
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/36991
- DOI
- 10.1016/j.jfranklin.2016.07.011
- ISSN
- 0016-0032
- Article Type
- Article
- Citation
- JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, vol. 353, no. 18, page. 5068 - 5080, 2016-12
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