Exponential stability of discrete-time linear singular positive time-delay systems

被引：0
|
作者：
Liu Tingting [1 ]
Wu Baowei [1 ]
Tong Yunxu [2 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Peoples R China
[2] Nanyang Inst Technol, Sch Math & Phys, Nanyang 473004, Peoples R China
来源：
2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2015年
关键词：
Singular system; Exponential stability; Time delay; Positivity; AVERAGE DWELL TIME; DESCRIPTOR SYSTEMS; SWITCHED SYSTEMS; STRUCTURAL-PROPERTIES; STABILIZABILITY;
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 the problem of alpha-exponential stability for discrete-time linear singular positive time-delay systems. Firstly, sufficient and necessary conditions for the positivity of the system are investigated based on the singular value decomposition and monomial coordinate transformation method. Then in virtue of the obtained results, a new exponential stability condition is established. Moreover, all the obtained results are formulated in terms of algebraic matrix inequalities and therefore are numerically tractable. Finally, a numerical simulation is given to show the effectiveness of the proposed techniques.
引用
收藏
页码：6069 / 6073
页数：5
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