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
收藏
页码：827 / 831
页数：5
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