Analysis of Positive Linear Continuous–Time Systems Using the Conformable Derivative
| Jun 29, 2018
International Journal of Applied Mathematics and Computer Science
Advanced Diagnosis and Fault-Tolerant Control Methods (special section, pp. 233-333), Vicenç Puig, Dominique Sauter, Christophe Aubrun, Horst Schulte (Eds.)
About this article
Published Online: Jun 29, 2018
Page range: 335 - 340
Received: Jun 24, 2017
Accepted: Jan 04, 2018
DOI: https://doi.org/10.2478/amcs-2018-0024
Keywords
© 2018 Tadeusz Kaczorek, published by Sciendo
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 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.