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

[21] Optimal Hankel Norm Approximation for Continuous-Time Descriptor Systems
Cao, X.
Saltik, M. B.
Weiland, S.
2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 6409 - 6414
[22] Positivity of a class of fractional descriptor continuous-time nonlinear systems
Kaczorek, T.
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2015, 63 (02) : 561 - 565
[23] On the generalized algebraic Riccati equation for continuous-time descriptor systems
Kawamoto, A
Takaba, K
Katayama, T
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 296 (1-3) : 1 - 14
[24] On the reachability of continuous-time positive switched systems
Santesso, Paolo
Valcher, Maria Elena
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 288 - 293
[25] On controllability of positive nonlinear continuous-time systems
Bartosiewicz, Zbigniew
2017 11TH ASIAN CONTROL CONFERENCE (ASCC), 2017, : 298 - 302
[26] Reachability Properties of Continuous-Time Positive Systems
Valcher, Maria Elena
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (07) : 1586 - 1590
[27] Stabilization of positive continuous-time interval systems
Li, Tsung-Ting
Tung, Shen-Lung
Juang, Yau-Tarng
Lecture Notes in Electrical Engineering, 2011, 98 : 335 - 342
[28] Continuous-time Fractional Bounded Positive Systems
Hmamed, A.
Mesquine, F.
Benzaouia, A.
Benhayoun, M.
Tadeo, F.
2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 2127 - 2132
[29] On the stability of continuous-time positive switched systems
Fornasini, Ettore
Valcher, Maria Elena
2010 AMERICAN CONTROL CONFERENCE, 2010, : 6225 - 6230
[30] Realization of continuous-time positive linear systems
vandenHof, JM
SYSTEMS & CONTROL LETTERS, 1997, 31 (04) : 243 - 253

← 1 2 3 4 5 →