Stabilization of positive linear systems

被引：197

作者：

De Leenheer, P ^{[1
]}

Aeyels, D ^{[1
]}

机构：

[1] State Univ Ghent, SYSTeMS, B-9052 Ghent, Belgium

来源：

SYSTEMS & CONTROL LETTERS | 2001年 / 44卷 / 04期

关键词：

positive systems; stabilization; constraints;

D O I：

10.1016/S0167-6911(01)00146-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider stabilization of equilibrium points of positive linear systems which are in the interior of the first orthant. The existence of an interior equilibrium point implies that the system matrix does not possess eigenvalues in the open right half plane. This allows to transform the problem to the stabilization problem of compartmental systems, which is known and for which a solution has been proposed already. We provide necessary and sufficient conditions to solve the stabilization problem by means of affine state feedback. A class of stabilizing feedbacks is given explicitly. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：259 / 271

页数：13

共 9 条

[1]

Bellman R., 1970, INTRO MATRIX ANAL

[2]

Gantmacher FR., 1959, The theory of matrices

[3] QUALITATIVE THEORY OF COMPARTMENTAL-SYSTEMS [J].