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

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

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and...

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

Publié en ligne: 29 juin 2018

Pages: 335 - 340

Reçu: 24 juin 2017

Accepté: 04 janv. 2018

DOI: https://doi.org/10.2478/amcs-2018-0024

Mots clés
conformable fractional derivative, positive linear system, stability

© 2018 Tadeusz Kaczorek, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Publié en ligne: 29 juin 2018

Pages: 335 - 340

Reçu: 24 juin 2017

Accepté: 04 janv. 2018

DOI: https://doi.org/10.2478/amcs-2018-0024

Mots clésconformable fractional derivative, positive linear system, stability

© 2018 Tadeusz Kaczorek, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
conformable fractional derivative, positive linear system, stability