<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Faculty of Electrical Engineering Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The positivity and linearization of a class of nonlinear continuous-time system by nonlinear state feedbacks are addressed. Necessary and sufficient conditions...

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

Publié en ligne: 30 déc. 2015

Pages: 827 - 831

Reçu: 22 août 2014

Accepté: 10 mars 2015

DOI: https://doi.org/10.1515/amcs-2015-0059

Mots clés
positive, nonlinear, system, linearization, state feedback

© 2015 Tadeusz Kaczorek, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Publié en ligne: 30 déc. 2015

Pages: 827 - 831

Reçu: 22 août 2014

Accepté: 10 mars 2015

DOI: https://doi.org/10.1515/amcs-2015-0059

Mots cléspositive, nonlinear, system, linearization, state feedback

© 2015 Tadeusz Kaczorek, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
positive, nonlinear, system, linearization, state feedback