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.

引用

页码：2530 / 2535

页数：6

共 50 条

[21] Robust global controller design for discrete-time descriptor systems with multiple time-varying delays
Mobayen, Saleh
Bayat, Farhad
Omidvar, Hossein
Fekih, Afef
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (07) : 2809 - 2831
[22] Stochastic Positivity and Stability Analysis for Discrete-Time Linear Systems
Jin, Ying
Liang, Jinling
Wang, Lan
2019 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (IEEE SSCI 2019), 2019, : 3240 - 3245
[23] Reachability and controllability of discrete-time descriptor systems
Karampetakis, Nicholas P.
Gregoriadou, Anastasia
INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (02) : 235 - 248
[24] Resilient H∞ sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays
Kchaou, Mourad
El-Hajjaji, Ahmed
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (02) : 288 - 301
[25] Some invariants of discrete-time descriptor systems
Coll, C
Fullana, MJ
Sánchez, E
APPLIED MATHEMATICS AND COMPUTATION, 2002, 127 (2-3) : 277 - 287
[26] REGULATION OF TIME-INVARIANT DISCRETE-TIME DESCRIPTOR SYSTEMS
IBRAHIM, EY
INTERNATIONAL JOURNAL OF CONTROL, 1989, 50 (01) : 75 - 79
[27] Positivity and stability of discrete-time nonlinear systems
Kaczorek, Tadeusz
2015 IEEE 2ND INTERNATIONAL CONFERENCE ON CYBERNETICS (CYBCONF), 2015, : 156 - 159
[28] A Simplified Descriptor System Approach to Delay-Dependent Stability and Robust Performance Analysis for Discrete-Time Systems with Time Delays
Xu, Fengying
Li, Daxin
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[29] Stability Analysis of Uncertain Discrete-Time Piecewise Linear Systems with Time Delays
Ou Ou is with College of Information Engineering Chengdu University of Technology Chengdu China HongBin Zhang and JueBang Yu are with School of Electronic Engineering University of Electronic Science and Technology of China Chengdu China
Journal of Electronic Science and Technology of China, 2009, 7 (03) : 254 - 257
[30] Stability Analysis of Uncertain Discrete-Time Piecewise Linear Systems with Time Delays
Ou Ou is with College of Information Engineering
Journal of Electronic Science and Technology, 2009, 7 (03) : 254 - 257

← 1 2 3 4 5 →