Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks

Kaczorek, T.

International Journal of Applied Mathematics and Computer Science, Tome 25 (2015) no. 4, pp. 827-831.

Résumé

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.

Détail

Keywords: positive, nonlinear, continuous-time system, linearization, state feedback
Mots-clés : układ dodatni, układ ciągły, sprzężenie zwrotne

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