Analysis of Positive Linear Continuous–Time Systems Using the Conformable Derivative

Kaczorek, Tadeusz

doi:10.2478/amcs-2018-0024

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.

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Analysis of Positive Linear Continuous–Time Systems Using the Conformable Derivative

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