Positive state controllability of positive linear systems

被引：12

作者：

Guiver, Chris ^{[1
]}

Hodgson, Dave ^{[2
]}

Townley, Stuart ^{[1
]}

机构：

[1] Univ Exeter, Environm & Sustainabil Inst, Coll Engn Math & Phys Sci, Penryn TR10 9FE, Cornwall, England

[2] Univ Exeter, Coll Life & Environm Sci, Ctr Ecol & Conservat, Penryn TR10 9FE, Cornwall, England

来源：

SYSTEMS & CONTROL LETTERS | 2014年 / 65卷

基金：

英国工程与自然科学研究理事会;

关键词：

Controllability; Linear system; Discrete time; Positive system; Constrained system; Population ecology; REACHABILITY; MODELS;

D O I：

10.1016/j.sysconle.2013.12.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Controllability of positive systems by positive inputs arises naturally in applications where both external and internal variables must remain positive for all time. In many applications, particularly in population biology, the need for positive inputs is often overly restrictive. Relaxing this requirement, the notion of positive state controllability of positive systems is introduced. A connection between positive state controllability and positive input controllability of a related system is established and used to obtain Kalman-like controllability criteria. In doing so we aim to encourage further study in this underdeveloped area. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：23 / 29

页数：7

共 19 条

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Berman A., 1994, NONNEGATIVE MATRICES, DOI DOI 10.1137/1.9781611971262

[2]

Berman A., 1989, PURE APPL MATH

[3] A survey of reachability and controllability for positive linear systems [J].