Improved reachable set estimation of discrete-time systems with time-varying delay

被引：11
|
作者：
Feng, Zhiguang [1 ,2 ]
Zheng, Wei Xing [2 ]
机构：
[1] Harbin Engn Univ, Coll Automat, Harbin 150001, Heilongjiang, Peoples R China
[2] Western Sydney Univ, Sch Comp Engn & Math, Sydney, NSW 2751, Australia
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2017年 / 38卷 / 06期
基金：
澳大利亚研究理事会;
关键词：
discrete-time systems; reachable set estimation; time-delay systems; LINEAR-SYSTEMS; DISSIPATIVITY ANALYSIS; STABILITY; DISTURBANCES; INPUTS;
D O I：
10.1002/oca.2316
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper is concerned with the problem of reachable set estimation of discrete-time systems with time-varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by-product. Numerical examples are presented to validate the effectiveness of the obtained results.
引用
收藏
页码：1081 / 1090
页数：10
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