A New Admissibility Condition of Discrete-time Singular Systems with Time-varying Delays

作     者：Yong-Yun Shao 1,3 Xiao-Dong Liu 1,2 Xin Sun 3 Zhan Su 4 1 Transportation Management College, Dalian Maritime University, Dalian 116026, China 2 Department of Mathematics, Dalian Maritime University, Dalian 116026, China 3 Department of Computer and Mathematics Teaching, Shenyang Normal University, Shenyang 110034, China 4 Institute of Systems Science, Northeastern University, Shenyang 110004, China 

作者机构：Transportation Management College Dalian Maritime University Dalian China Department of Computer and Mathematics Teaching Shenyang Normal University Shenyang China Department of Mathematics Dalian Maritime University Dalian China Institute of Systems Science Northeastern University Shenyang China 

出 版 物：《International Journal of Automation and computing》 (国际自动化与计算杂志（英文版）)

年 卷 期：2012年第9卷第5期

页      面：480-486页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China (Nos.61035005,61175041,60904009) Program for Liaoning Excellent Talents in University (No. LJQ2011118) Natural Science Foundation of Liaoning Province (No. 201202201) 

主　　题：Singular systems discrete-time delay-dependent admissibility time-varying delay 

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.