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

被引：41

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

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