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Paper details
Number 4 - December 2015
Volume 25 - 2015
Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks
Tadeusz Kaczorek
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, system, linearization, state feedback