Zobrazeno 1 - 10
of 140
pro vyhledávání: '"José A. Tenreiro Machado"'
Autor:
José A. Tenreiro Machado
Publikováno v:
Chaos Theory and Applications, Vol 4, Iss 2, Pp 59-63 (2022)
Fractional Calculus started in 1695 with Leibniz discussing the meaning of $D^ny$ for $n = 1/2$. Many mathematicians developed the theoretical concepts, but the area remained somewhat unknown from applied sciences. During the eighties FC emerged asso
Externí odkaz:
https://doaj.org/article/7e09d8d82e0045388efb9b00b77dc0f5
Publikováno v:
Mathematics, Vol 10, Iss 9, p 1539 (2022)
The main contribution of this paper is to propose a closed expression for the Ramanujan constant of alternating series, based on the Euler–Boole summation formula. Such an expression is not present in the literature. We also highlight the only choi
Externí odkaz:
https://doaj.org/article/4aadd980b2fb4c088b2d9f922ab2bca1
Publikováno v:
Fractal and Fractional, Vol 6, Iss 2, p 52 (2022)
The accuracy of the state-of-charge (SOC) estimation of lithium batteries affects the battery life, driving performance, and the safety of electric vehicles. This paper presents a SOC estimation method based on the fractional-order square-root unscen
Externí odkaz:
https://doaj.org/article/dc8e67d3cc1f40c6ba9004bd031d805e
Publikováno v:
Mathematics, Vol 9, Iss 22, p 2963 (2021)
This work presents an overview of the summability of divergent series and fractional finite sums, including their connections. Several summation methods listed, including the smoothed sum, permit obtaining an algebraic constant related to a divergent
Externí odkaz:
https://doaj.org/article/8c4aa85df2094ef99a20f62dfad2d231
Publikováno v:
Sensors, Vol 21, Iss 22, p 7736 (2021)
This paper studies the use of multidimensional scaling (MDS) to assess the performance of fractional-order variable structure controllers (VSCs). The test bed consisted of a revolute planar robotic manipulator. The fractional derivatives required by
Externí odkaz:
https://doaj.org/article/bb3528c6b44740959594e93e90bddf1e
Publikováno v:
Mathematics, Vol 9, Iss 19, p 2501 (2021)
This paper presents a third order iterative method for obtaining the Moore–Penrose and Drazin inverses with a computational cost of O(n3), where n∈N. The performance of the new approach is compared with other methods discussed in the literature.
Externí odkaz:
https://doaj.org/article/445c350b97a541318f0feff26a3f8140
Publikováno v:
Entropy, Vol 23, Iss 7, p 793 (2021)
In professional soccer, the choices made in forming a team lineup are crucial for achieving good results. Players are characterized by different skills and their relevance depends on the position that they occupy on the pitch. Experts can recognize s
Externí odkaz:
https://doaj.org/article/201883b3705749df88efd491c7f6df7c
Publikováno v:
Mathematics, Vol 9, Iss 4, p 314 (2021)
This manuscript focuses on one of the most famous open problems in mathematics, namely the Collatz conjecture. The first part of the paper is devoted to describe the problem, providing a historical introduction to it, as well as giving some intuitive
Externí odkaz:
https://doaj.org/article/41f2ac5a88c64b57bc41a52717c05158
Publikováno v:
Mathematics, Vol 9, Iss 1, p 41 (2020)
This paper addresses the guaranteed cost control problem of a class of uncertain fractional-order (FO) delayed linear systems with norm-bounded time-varying parametric uncertainty. The study is focused on the design of state feedback controllers with
Externí odkaz:
https://doaj.org/article/b4acc1e2d5644c48925f2f93715fdb80
Publikováno v:
Entropy, Vol 22, Iss 12, p 1374 (2020)
Fractional calculus (FC) is the area of calculus that generalizes the operations of differentiation and integration. FC operators are non-local and capture the history of dynamical effects present in many natural and artificial phenomena. Entropy is
Externí odkaz:
https://doaj.org/article/88f41cab922945f9b3823fc6a08ea6f9