Global asymptotic stability of the Goodwin system with repression

被引：12

作者：

Sanchez, Luis A. ^{[1
]}

机构：

[1] Univ Politecn Cartagena, Escuela Univ Ingn Tecn Civil, Dept Matemat Aplicada & Estadist, Murcia 30203, Spain

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 04期

关键词：

Goodwin system; Global asymptotic stability; Compound matrices; Monotone systems; CRITERION; MATRICES; FEEDBACK; DYNAMICS; MODELS;

D O I：

10.1016/j.nonrwa.2008.03.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a global asymptotic stability result for the classical Goodwin system. The proof follows from a combination of the Poincare-Bendixson property enjoyed by monotone cyclic feedback systems, the theory of compound matrices and comparison techniques from the theory of monotone systems. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2151 / 2156

页数：6

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