Positivity and Linearization of a Class of Nonlinear Continuous–Time Systems by State Feedbacks

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 fee...

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Main Author:	Kaczorek Tadeusz
Format:	Article
Language:	English
Published:	Sciendo 2015-12-01
Series:	International Journal of Applied Mathematics and Computer Science
Subjects:	positive nonlinear system linearization state feedback
Online Access:	https://doi.org/10.1515/amcs-2015-0059

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spelling	doaj-59837b6889794bf7af9166b4d6ae237a2021-09-06T19:39:49ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922015-12-0125482783110.1515/amcs-2015-0059amcs-2015-0059Positivity and Linearization of a Class of Nonlinear Continuous–Time Systems by State FeedbacksKaczorek Tadeusz0Faculty of Electrical Engineering Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, PolandThe 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.https://doi.org/10.1515/amcs-2015-0059positivenonlinearsystemlinearizationstate feedback
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kaczorek Tadeusz
spellingShingle	Kaczorek Tadeusz Positivity and Linearization of a Class of Nonlinear Continuous–Time Systems by State Feedbacks International Journal of Applied Mathematics and Computer Science positive nonlinear system linearization state feedback
author_facet	Kaczorek Tadeusz
author_sort	Kaczorek Tadeusz
title	Positivity and Linearization of a Class of Nonlinear Continuous–Time Systems by State Feedbacks
title_short	Positivity and Linearization of a Class of Nonlinear Continuous–Time Systems by State Feedbacks
title_full	Positivity and Linearization of a Class of Nonlinear Continuous–Time Systems by State Feedbacks
title_fullStr	Positivity and Linearization of a Class of Nonlinear Continuous–Time Systems by State Feedbacks
title_full_unstemmed	Positivity and Linearization of a Class of Nonlinear Continuous–Time Systems by State Feedbacks
title_sort	positivity and linearization of a class of nonlinear continuous–time systems by state feedbacks
publisher	Sciendo
series	International Journal of Applied Mathematics and Computer Science
issn	2083-8492
publishDate	2015-12-01
description	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.
topic	positive nonlinear system linearization state feedback
url	https://doi.org/10.1515/amcs-2015-0059
work_keys_str_mv	AT kaczorektadeusz positivityandlinearizationofaclassofnonlinearcontinuoustimesystemsbystatefeedbacks
_version_	1717769984427425792

Positivity and Linearization of a Class of Nonlinear Continuous–Time Systems by State Feedbacks

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