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.
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页码：1 / 9
页数：9
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