New stability analysis for discrete time-delay systems via auxiliary-function-based summation inequalities

被引：7
|
作者：
Park, PooGyeon [1 ]
Lee, Seok Young [2 ]
Lee, Won Il [1 ]
机构：
[1] Pohang Univ Sci & Technol, Dept Elect Engn, Pohang, South Korea
[2] Pohang Univ Sci & Technol, Div IT Convergence Engn, Pohang, South Korea
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 18期
基金：
新加坡国家研究基金会;
关键词：
MARKOVIAN JUMP SYSTEMS; VARYING DELAY; STATE-DELAYS; STABILIZATION; DESIGN;
D O I：
10.1016/j.jfranklin.2016.07.011
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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
引用
收藏
页码：5068 / 5080
页数：13
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