A new admissibility condition of discrete-time singular systems with time-varying delays

被引：1

作者：

Shao Y.-Y. ^{[1
,3
]}

Liu X.-D. ^{[1
,2
]}

Sun X. ^{[3
]}

Su Z. ^{[4
]}

机构：

[1] Transportation Management College, Dalian Maritime University

[2] Department of Mathematics, Dalian Maritime University

[3] Department of Computer and Mathematics Teaching, Shenyang Normal University

[4] Institute of Systems Science, Northeastern University

来源：

International Journal of Automation and Computing | 2012年 / 9卷 / 05期

基金：

中国国家自然科学基金;

关键词：

admissibility; delay-dependent; discrete-time; Singular systems; time-varying delay;

D O I：

10.1007/s11633-012-0670-0

中图分类号：

学科分类号：

摘要：

This paper gives a novel delay-dependent admissibility condition of discrete-time singular systems with time-varying delays. For convenience, the time-varying delay is assumed to be the sum of delay lower bound and the integral multiples of a constant delay. Specially, if the constant delay is of unit length, the delay is an interval-like time-varying delay. The proposed admissibility condition is presented and expressed in terms of linear matrix inequality (LMI) by Lyapunov approach. Generally, the uncertainty of time-varying delay would lead to conservatism. In this paper, this critical issue is tackled by accurately estimating the time-varying delay. Consequently, the proposed admissibility condition is less conservative than the existing results, which is demonstrated by a numerical example. © 2012 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：480 / 486

页数：6

共 17 条

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[2]

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