On the Forward Razumikhin Approach for Discrete-Time Time-Varying Time-Delay Systems

被引：0
|
作者：
Zhao, Tianrui [1 ]
Zhou, Bin [1 ]
机构：
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, POB 416, Harbin 150001, Peoples R China
来源：
PROCEEDINGS OF THE 30TH CHINESE CONTROL AND DECISION CONFERENCE (2018 CCDC) | 2018年
基金：
中国国家自然科学基金;
关键词：
Time-delay systems; Time-varying systems; Stability; Razumikhin approach; Discrete-time systems; TO-STATE STABILITY; THEOREM;
D O I：
暂无
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 investigates the forward Razumikhin approach for discrete-time time-varying time-delay systems, Sufficient conditions are obtained for uniform stability (US) and uniformly asymptotically stability (UAS) respectively by using the notion of scalar UAS function. Moreover, with the help of a comparison lemma, a uniformly exponential stability (TIES) theorem is also obtained. An example regarding UES for a class of discrete-time linear time-varying time-delay systems is studied to illustrate the effectiveness of the obtained results.
引用
收藏
页码：2814 / 2819
页数：6
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