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Paper details
Number 2 - June 2018
Volume 28 - 2018
Analysis of positive linear continuous-time systems using the conformable derivative
Tadeusz Kaczorek
Abstract
Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear
system is derived. Necessary and sufficient conditions for the positivity of linear systems are established. Necessary and
sufficient conditions for the asymptotic stability of positive linear systems are also given. The solutions of positive fractional
linear systems based on the Caputo and conformable definitions are compared.
Keywords
conformable fractional derivative, positive linear system, stability