Delay-Variation-Dependent Stability of Delayed Discrete-Time Systems

被引：169

作者：

Zhang, Chuan-Ke ^{[1
,2
]}

He, Yong ^{[1
]}

Jiang, L. ^{[2
]}

Wu, Min ^{[1
]}

Zeng, Hong-Bing ^{[3
]}

机构：

[1] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China

[2] Univ Liverpool, Dept Elect Engn & Elect, Liverpool L69 3GJ, Merseyside, England

[3] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412007, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Discrete-time system; generalized free-weighting-matrix approach; stability; time-varying delay; STABILIZATION; CRITERIA;

D O I：

10.1109/TAC.2015.2503047

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 note is concerned with the stability analysis of linear discrete-time system with a time-varying delay. A generalized free-weighting-matrix (GFWM) approach is proposed to estimate summation terms in the forward difference of Lyapunov functional, and theoretical study shows that the GFWM approach encompasses several frequently used estimation approaches as special cases. Moreover, an augmented Lyapunov functional with a delay-product type term is constructed to take into account delay changing information. As a result, the proposed GFWM approach, together with the augmented Lyapunov functional, leads to a less conservative delay-variation-dependent stability criterion. Finally, numerical examples are given to illustrate the advantages of the proposed criterion.

引用

页码：2663 / 2669

页数：7

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