POSITIVE REALIZATIONS OF LINEAR-SYSTEMS

被引：35

作者：

FARINA, L

BENVENUTI, L

机构：

[1] Dipartimento di Informatica e Sistemistica, Università degli Studi di Roma La Sapienza, 00184 Rome, Via Eudossiana

来源：

SYSTEMS & CONTROL LETTERS | 1995年 / 26卷 / 01期

关键词：

LINEAR SYSTEMS; POSITIVE LINEAR SYSTEMS; POSITIVE REALIZATION;

D O I：

10.1016/0167-6911(95)90886-3

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 deals with the realization problem of linear systems in which a sign pattern is imposed on the realization {A, b, c(T)}. This problem arises in the context of positive linear systems, i.e. systems in which state variables and the output take nonnegative values whenever initial states and inputs are nonnegative. Using a unitary framework for continuous-time and discrete-time systems we derive necessary and sufficient conditions for positive realizability by means of convex analysis. Moreover, the complete solution in the case of a transfer function of McMillan degree n less than or equal to 3 is obtained.

引用

页码：1 / 9

页数：9

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