ArticleOriginal scientific text
Title
Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks
Authors 1
Affiliations
- Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland
Abstract
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.
Keywords
positive, nonlinear, continuous-time system, linearization, state feedback
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Pages:
827-831
Main language of publication
English
Published
2015
Exact and natural sciences