New Stability Criteria for Linear Discrete-Time Systems With Interval-Like Time-Varying Delays

被引：141

作者：

Shao, Hanyong ^{[1
,2
]}

Han, Qing-Long ^{[2
,3
]}

机构：

[1] Qufu Normal Univ, Sch Elect & Informat Automat, Rizhao 276826, Shandong, Peoples R China

[2] Cent Queensland Univ, Ctr Intelligent & Networked Syst, Rockhampton, Qld 4702, Australia

[3] Cent Queensland Univ, Sch Informat & Commun Technol, Rockhampton, Qld 4702, Australia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 03期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

Delay systems; discrete-time systems; stability; RECURRENT NEURAL-NETWORKS; H-INFINITY CONTROL; DEPENDENT STABILITY; STATE DELAY;

D O I：

10.1109/TAC.2010.2095591

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 technical note is concerned with stability of linear discrete- time systems with interval-like time-varying delays. Two new stability criteria are derived by constructing a new Lyapunov functional and utilizing two novel techniques for estimating the forward difference of the Lyapunov functional. The relationship between these stability criteria and some existing ones is established. Through the relationship, it is clear that these stability criteria are less conservative than some existing ones, which is confirmed by a numerical example.

引用

页码：619 / 625

页数：7

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