Positivity analysis for discrete-time descriptor systems with time delays

被引：0
|
作者：
Zhang, Youmei [1 ]
Zhang, Qingling [1 ]
Tanaka, Tamaki [2 ]
Meng, Xinyou [3 ]
Lv, Hui [1 ]
机构：
[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Peoples R China
[2] Niigata Univ, Grad Sch Sci & Technol, Niigata 9502181, Japan
[3] Lanzhou Univ Technol, Coll Sci, Lanzhou 730050, Peoples R China
来源：
2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年
关键词：
Positive systems; Singular systems; Linear systems; Time delay; STABILITY ANALYSIS;
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 is concerned with positivity analysis for discrete-time descriptor systems with time delays. At first, an explicit solution of such systems is given by using z-transform and inverse z-transform. Then, a set of necessary and sufficient conditions for positivity of discrete-time descriptor systems with time delays is presented under some conditions. In addition, based on the obtained conditions for positivity, systems with strictly positive state variables are concerned. Necessary and sufficient conditions to check strict positivity of state variables are obtained. Finally, an example is given to illustrate the effectiveness of the obtained results.
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页码：2530 / 2535
页数：6
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