A combined first- and second-order reciprocal convexity approach for stability analysis of systems with interval time-varying delays
SCIE
SCOPUS
- Title
- A combined first- and second-order reciprocal convexity approach for stability analysis of systems with interval time-varying delays
- Authors
- Lee, WI; Lee, SY; Park, P
- Date Issued
- 2016-06
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Abstract
- For the interval time-varying delay systems, Jensen inequality lemma yields some terms with the inverse of convex and squared convex parameters, which often makes it difficult to find their bounds. Recently, reciprocal and second-order reciprocal convexity approaches have been proposed to handle the difficulties with a set of convex parameters and a set of squared convex parameters, respectively, but these approaches do not investigate the relation between the two sets. This paper offers much tighter bounds of those terms utilizing the relations among the two sets with the lower bound lemma. Based on the new approach and Lyapunov theory, less conservative stability criteria for time delay systems are developed. To show the effectiveness of the new approach, two numerical examples are given. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/36406
- DOI
- 10.1016/J.JFRANKLIN.2016.03.017
- ISSN
- 0016-0032
- Article Type
- Article
- Citation
- JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, vol. 353, no. 9, page. 2104 - 2116, 2016-06
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.