TY - JOUR
T1 - The 21st Century Systems
T2 - An Updated Vision of Discrete-Time Fractional Models
AU - Ortigueira, Manuel Duarte
AU - Machado, J. A. Tenreiro
N1 - info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00066%2F2020/PT#
A few days before the end of the revision procedure, my friend J. Tenreiro Machado had a sudden cardio-respiratory arrest and died. Here I want to express my gratitude and tribute to a great man and scientist. He was a very friendly and helpful person, with an unusual work capacity that allowed him to publish interesting articles on a wide range of topics.
Publisher Copyright:
© 2001-2012 IEEE.
PY - 2022
Y1 - 2022
N2 - Two different approaches for describing discrete-time fractional linear systems are presented. The first is based on the nabla and delta discrete-time derivatives. In this case, suitable exponentials are introduced and used to define discrete Laplace transforms. The second approach is based on the bilinear (Tustin) transformations. For both cases, appropriate algorithms for obtaining the impulse, step, and frequency responses are presented. The state-variable representation is also analysed.
AB - Two different approaches for describing discrete-time fractional linear systems are presented. The first is based on the nabla and delta discrete-time derivatives. In this case, suitable exponentials are introduced and used to define discrete Laplace transforms. The second approach is based on the bilinear (Tustin) transformations. For both cases, appropriate algorithms for obtaining the impulse, step, and frequency responses are presented. The state-variable representation is also analysed.
UR - http://www.scopus.com/inward/record.url?scp=85138795790&partnerID=8YFLogxK
U2 - 10.1109/MCAS.2022.3160908
DO - 10.1109/MCAS.2022.3160908
M3 - Article
AN - SCOPUS:85138795790
SN - 1531-636X
VL - 22
SP - 6
EP - 21
JO - IEEE Circuits and Systems Magazine
JF - IEEE Circuits and Systems Magazine
IS - 3
ER -