Analysis of Positive Linear Continuous–Time Systems Using the Conformable Derivative-Reference-Cited by-同舟云学术

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

Published:2018-06-01 Issue:2 Volume:28 Page:335-340
ISSN:2083-8492
Container-title:International Journal of Applied Mathematics and Computer Science
language:en
Short-container-title:

Author:

Kaczorek Tadeusz¹

Affiliation:

1. Faculty of Electrical Engineering Białystok Technical University, Wiejska 45D, 15-351 Białystok , Poland

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.sciendo.com/pdf/10.2478/amcs-2018-0024

Reference19 articles.

1. Abdeljawad, T. (2015). On conformable fractional calculus, Journal of Computational and Applied Mathematics 279: 57-66.10.1016/j.cam.2014.10.016

2. Benvenuti, L. and Farina, L. (2004). A tutorial on the positive realization problem, IEEE Transactions on Automatic Control 49(5): 651-664.10.1109/TAC.2004.826715

3. Farina, L. and Rinaldi, S. (2000). Positive Linear Systems, Theory and Applications, Wiley, New York, NY.10.1002/9781118033029

4. Kaczorek, T. (2016a). Minimal-phase positive electrical circuits, Electrical Review 92(3): 182-189.10.15199/48.2016.03.43

5. Kaczorek, T. (2016b). Positive electrical circuits with zero transfer matrices and their discretization, Computer Applications in Electrical Engineering 14: 1-13.

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