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

页码：5068 / 5080

页数：13

共 26 条

[1] Optimal partitioning method for stability analysis of continuous/discrete delay systems [J].