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

共 50 条

[31] On the reachability properties of continuous-time positive systems
Valcher, Maria Elena
2008 MEDITERRANEAN CONFERENCE ON CONTROL AUTOMATION, VOLS 1-4, 2008, : 147 - 152
[32] Positive continuous-time linear Lyapunov systems
Kaczorek, Tadeusz
Przyborowski, Przemyslaw
EUROCON 2007: THE INTERNATIONAL CONFERENCE ON COMPUTER AS A TOOL, VOLS 1-6, 2007, : 123 - 129
[33] POINTWISE COMPLETENESS AND POINTWISE DEGENERACY OF POSITIVE FRACTIONAL DESCRIPTOR CONTINUOUS-TIME LINEAR SYSTEMS WITH REGULAR PENCILS
Kaczorek, Tadeusz
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2015, 25 (02) : 217 - 221
[34] PERFECT NONLINEAR OBSERVERS OF FRACTIONAL DESCRIPTOR CONTINUOUS-TIME NONLINEAR SYSTEMS
Kaczorek, Tadeusz
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (03) : 775 - 784
[35] A new generalized bounded real lemma for continuous-time descriptor systems
Wu, Jenq-Lang
Yung, Chee-Fai
ASIAN JOURNAL OF CONTROL, 2022, 24 (05) : 2729 - 2737
[36] Robust ESPR analysis and control for uncertain continuous-time descriptor systems
Jian Liung Chen
International Journal of Control, Automation and Systems, 2010, 8 : 8 - 15
[37] Dissipative performance control with output regulation for continuous-time descriptor systems
Feng, Yu
Yagoubi, Mohamed
Chevrel, Philippe
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (05): : 1189 - 1205
[38] A strict LMI condition for ESPR property of continuous-time descriptor systems
Chen, Jian Liung
Chang, Wei-Der
Lin, Chia-Hung
Hung, Meei-Ling
Chen, Yen-Lon
ASIASIM 2007, 2007, 5 : 29 - +
[39] Perfect nonlinear observers of fractional descriptor continuous-time nonlinear systems
Tadeusz Kaczorek
Fractional Calculus and Applied Analysis, 2016, 19 : 775 - 784
[40] Robust ESPR Analysis and Control for Uncertain Continuous-time Descriptor Systems
Chen, Jian Liung
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2010, 8 (01) : 8 - 15

← 1 2 3 4 5 →