POSITIVITY AND LINEARIZATION OF A CLASS OF NONLINEAR CONTINUOUS-TIME SYSTEMS BY STATE FEEDBACKS

被引：1

作者：

Kaczorek, Tadeusz ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2015年 / 25卷 / 04期

关键词：

positive; nonlinear; system; linearization; state feedback;

D O I：

10.1515/amcs-2015-0059

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The positivity and linearization of a class of nonlinear continuous-time system by nonlinear state feedbacks are addressed. Necessary and sufficient conditions for the positivity of the class of nonlinear systems are established. A method for linearization of nonlinear systems by nonlinear state feedbacks is presented. It is shown that by a suitable choice of the state feedback it is possible to obtain an asymptotically stable and controllable linear system, and if the closed-loop system is positive then it is unstable.

引用

页码：827 / 831

页数：5

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