Positivity of discrete singular systems and their stability: An LP-based approach

被引：39

作者：

Rami, Mustapha Ait ^{[1
]}

Napp, Diego ^{[2
]}

机构：

[1] Univ Picardie Jules Verne, Dept Lab Modelisat Informat & Syst MIS, Amiens, France

[2] Univ Jaume 1, Dept Math, Castellon de La Plana 12071, Spain

来源：

AUTOMATICA | 2014年 / 50卷 / 01期

关键词：

Singular systems; Positive systems; Input-output positivity; Stability; Linear programming; STRUCTURAL-PROPERTIES;

D O I：

10.1016/j.automatica.2013.10.011

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we present an efficient approach to the analysis of discrete positive singular systems. One of our main objectives is to investigate the problem of characterizing positivity of such systems. Previously, this issue was not completely addressed. We provide easily checkable necessary and sufficient conditions for such problem to be solved. On the other hand, we study the stability of discrete positive singular systems. Note that this is not a trivial problem since the set of admissible initial conditions is not the whole space but it is represented by a special cone. All the conditions we provide are necessary and sufficient and are based on a reliable computational approach via linear programming. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：84 / 91

页数：8

共 50 条

[21] LP-based solution methods for the asymmetric TSP
Melkonian, Vardges
INFORMATION PROCESSING LETTERS, 2007, 101 (06) : 233 - 238
[22] LOOP - A language for LP-based AI applications
Suciu, A
Pusztai, K
Muresan, T
Simon, Z
ICTAI 2001: 13TH IEEE INTERNATIONAL CONFERENCE ON TOOLS WITH ARTIFICIAL INTELLIGENCE, PROCEEDINGS, 2001, : 299 - 305
[23] Adaptive Lp-based image denoising model
Wang, Ji-Chao
Li, Wei-Guo
Zhongguo Shiyou Daxue Xuebao (Ziran Kexue Ban)/Journal of China University of Petroleum (Edition of Natural Science), 2008, 32 (02): : 155 - 158
[24] An Improved LP-based Approximation for Steiner Tree
Byrka, Jaroslaw
Grandoni, Fabrizio
Rothvoss, Thomas
Sanita, Laura
STOC 2010: PROCEEDINGS OF THE 2010 ACM SYMPOSIUM ON THEORY OF COMPUTING, 2010, : 583 - 592
[25] A flexible, (C)LP-based approach to the analysis of object-oriented programs
Mendez-Lojo, Mario
Navas, Jorge
Hermenegildo, Manuel V.
LOGIC-BASED PROGRAM SYNTHESIS AND TRANSFORMATION, 2008, 4915 : 154 - 168
[26] Partitioned event graph: formalizing LP-based modelling of parallel discrete-event simulation
Wang, Bing
Deng, Bo
Xing, Fei
Wang, Dongxia
Yao, Yiping
MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2015, 21 (02) : 153 - 179
[27] LP-based Approximation for Personalized Reserve Prices
Derakhshan, Mahsa
Golrezaei, Negin
Leme, Renato Paes
ACM EC '19: PROCEEDINGS OF THE 2019 ACM CONFERENCE ON ECONOMICS AND COMPUTATION, 2019, : 589 - 589
[28] LMI approach to robust stability of uncertain discrete singular time-delay systems
National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027, China
Asian J. Control, 2006, 1 (56-62):
[29] An LMI approach to robust stability of uncertain discrete singular time-delay systems
Ji, XF
Su, HY
Chu, J
ASIAN JOURNAL OF CONTROL, 2006, 8 (01) : 56 - 62
[30] A Lyapunov approach to analysis of discrete singular systems
Zhang, QL
Liu, WQ
Hill, D
SYSTEMS & CONTROL LETTERS, 2002, 45 (03) : 237 - 247

← 1 2 3 4 5 →