Admissibility for positive continuous-time descriptor systems

被引：15

作者：

Zhang, Youmei ^{[1
]}

Zhang, Qingling ^{[1
]}

Tanaka, Tamaki ^{[2
]}

Cai, Min ^{[3
]}

机构：

[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Peoples R China

[2] Niigata Univ, Grad Sch Sci & Technol, Niigata 9502181, Japan

[3] Dalian Jiaotong Univ, Sch Sci, Dalian 116028, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2013年 / 44卷 / 11期

关键词：

positive systems; descriptor systems; impulse-free; admissibility; c-monomial decomposition; REACHABILITY;

D O I：

10.1080/00207721.2012.685200

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Positive descriptor systems are a new research branch in descriptor systems. This article is devoted to the study of the admissibility property for positive continuous-time descriptor systems. Based on Lyapunov inequality existed for stability of positive descriptor systems, we provide a necessary and sufficient condition to guarantee the admissibility via linear matrix inequalities (LMIs). Furthermore, a necessary and sufficient condition to guarantee the admissibility is established by means of generalised Lyapunov equation if c-monomial decomposition is applied to positive descriptor systems. Finally, examples are given to illustrate the validity of the results obtained.

引用

页码：2158 / 2165

页数：8

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