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Wyświetlanie 1-15 z 333
Tytuł:
A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results
Autorzy:
Benmahmoud, Slimane
Powiązania:
https://bibliotekanauki.pl/articles/2200956.pdf
Data publikacji:
2023
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
cumulative residual entropy (CRE)
entropy’s generating function
fractional calculus
information measure
Riemann-Liouville/Caputo fractional integral
Riemann-Liouville/Caputo fractional derivative
Tsallis/Rényi entropy
Opis:
In this paper, by differentiating the entropy’s generating function (i.e., h(t) = R SX̄F tX (x)dx) using a Caputo fractional-order derivative, we derive a generalized non-logarithmic fractional cumulative residual entropy (FCRE). When the order of differentiation α → 1, the ordinary Rao CRE is recovered, which corresponds to the results from first-order ordinary differentiation. Some properties and examples of the proposed FCRE are also presented.
Źródło:
Journal of Telecommunications and Information Technology; 2023, 1; 25--29
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ability of black-box optimisation to efficiently perform simulation studies in power engineering
Autorzy:
Petersson, Lukas
Kutzner, Rüdiger
Schäfer, Marc
Hofmann, Lutz
Powiązania:
https://bibliotekanauki.pl/articles/2204619.pdf
Data publikacji:
2023
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
black-box optimisation
power plant engineering
derivative-free optimisation
simulation studies
power engineering
Opis:
In this study, the potential of the so-called black-box optimisation (BBO) to increase the efficiency of simulation studies in power engineering is evaluated. Three algorithms (“Multilevel Coordinate Search” (MCS) and “Stable Noisy Optimization by Branch and Fit” (SNOBFIT) by Huyer and Neumaier and “blackbox: A Procedure for Parallel Optimization of Expensive Black-box Functions” (blackbox) by Knysh and Korkolis) are implemented in MATLAB and compared for solving two use cases: the analysis of the maximum rotational speed of a gas turbine after a load rejection and the identification of transfer function parameters by measurements. The first use case has a high computational cost, whereas the second use case is computationally cheap. For each run of the algorithms, the accuracy of the found solution and the number of simulations or function evaluations needed to determine the optimum and the overall runtime are used to identify the potential of the algorithms in comparison to currently used methods. All methods provide solutions for potential optima that are at least 99.8% accurate compared to the reference methods. The number of evaluations of the objective functions differs significantly but cannot be directly compared as only the SNOBFIT algorithm does stop when the found solution does not improve further, whereas the other algorithms use a predefined number of function evaluations. Therefore, SNOBFIT has the shortest runtime for both examples. For computationally expensive simulations, it is shown that parallelisation of the function evaluations (SNOBFIT and blackbox) and quantisation of the input variables (SNOBFIT) are essential for the algorithmic performance. For the gas turbine overspeed analysis, only SNOBFIT can compete with the reference procedure concerning the runtime. Further studies will have to investigate whether the quantisation of input variables can be applied to other algorithms and whether the BBO algorithms can outperform the reference methods for problems with a higher dimensionality.
Źródło:
Acta Mechanica et Automatica; 2023, 17, 2; 292--302
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Eigenvalues assignment in descriptor linear systems by state and its derivative feedbacks
Autorzy:
Kaczorek, Tadeusz
Powiązania:
https://bibliotekanauki.pl/articles/27311425.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
eigenvalue assignment
descriptor
linear system
state derivative
feedback
przypisanie wartości własnej
deskryptor
układ liniowy
pochodna stanu
informacja zwrotna
Opis:
The eigenvalues assignment problems for descriptor linear systems with state and its derivative feedbacks are considered herein. Necessary and sufficient conditions for the existence of solutions to the problems are established. The Euler and Tustin approximations of the continuous-time systems are analyzed. Procedures for computation of the feedbacks are given and illustrated by numerical examples.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 5; art. no. e145765
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Equivalent diagrams of fractional order elements
Autorzy:
Różowicz, Sebastian
Włodarczyk, Maciej
Zawadzki, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/27324011.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
fractional order derivative
Laplace transform for fractional order systems
CFE method
circuit synthesis
numerical experiments
Opis:
This paper presents equivalent impedance and operator admittance systems for fractional order elements. Presented models of fractional order elements of the type: sαL,sub>α and 1/sαCsub>α, (0 α 1) were obtained using the Laplace transform based on the expansion of the factor sign to an infinite fraction with varying degrees of accuracy – the continued fraction expansion method (CFE). Then circuit synthesis methods were applied. As a result, equivalent circuit diagrams of fractional order elements were obtained. The obtained equivalent schemes consist both of classical RLC elements, as well as active elements built based on operational amplifiers. Numerical experiments were conducted for the constructed models, presenting responses to selected input signals.
Źródło:
Archives of Control Sciences; 2023, 33, 4; 801--827
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ℎ-Stability of set differential equations
Autorzy:
Boukthir, Sihem
Ghanmi, Boulbaba
Basdouri, Imed
Ichalal, Dalil
Lerbet, Jean
Powiązania:
https://bibliotekanauki.pl/articles/27324010.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
ℎ-stability
Lyapunov theory
set-valued differential
generalized Hukuhara derivative
perturbed system
cascaded systems
Opis:
In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using Lyapunov theory. Then, based on the obtained results, we study the ℎ-stability of perturbed and cascaded systems. Finally, an example illustrates the proposed theorems.
Źródło:
Archives of Control Sciences; 2023, 33, 4; 761--788
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Necessary optimality conditions for quasi-singular controls for systems with Caputo fractional derivatives
Autorzy:
Yusubov, Shakir Sh.
Mahmudov, Elimhan N.
Powiązania:
https://bibliotekanauki.pl/articles/27321480.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
fractional derivative
fractional optimal control
necessary optimality condition
Opis:
In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. First we get the linearized maximum principle. Further, the concept of a quasi-singular control is introduced and, on this basis, an analogue of the Legendre-Clebsch conditions is obtained. When the analogue of Legendre-Clebsch condition degenerates, a necessary high-order optimality condition is derived. An illustrative example is considered.
Źródło:
Archives of Control Sciences; 2023, 33, 3; 463--496
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonoscillation of damped linear differential equations with a proportional derivative controller and its application to Whittaker-Hill-type and Mathieu-type equations
Autorzy:
Ishibashi, Kazuki
Powiązania:
https://bibliotekanauki.pl/articles/29519191.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonoscillation
proportional derivative controller
Riccati technique
Mathieu equation
Whittaker-Hill equation
Opis:
The proportional derivative (PD) controller of a differential operator is commonly referred to as the conformable derivative. In this paper, we derive a nonoscillation theorem for damped linear differential equations with a differential operator using the conformable derivative of control theory. The proof of the nonoscillation theorem utilizes the Riccati inequality corresponding to the equation considered. The provided nonoscillation theorem gives the nonoscillatory condition for a damped Euler-type differential equation with a PD controller. Moreover, the nonoscillation of the equation with a PD controller that can generalize Whittaker-Hill-type equations is also considered in this paper. The Whittaker-Hill-type equation considered in this study also includes the Mathieu-type equation. As a subtopic of this work, we consider the nonoscillation of Mathieu-type equations with a PD controller while making full use of numerical simulations.
Źródło:
Opuscula Mathematica; 2023, 43, 1; 67-79
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solution of a fractional coupled system with the Caputo-Fabrizio fractional derivative
Autorzy:
Mansouri, Ikram
Bekkouche, Mohammed Moumen
Ahmed, Abdelaziz Azeb
Powiązania:
https://bibliotekanauki.pl/articles/2202061.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Caputo-Fabrizio fractional derivative
fractional integral
coupled system
fractional differential equation
fixed point
Adomian decomposition method
pochodna ułamkowa Caputo-Fabrizio
całkowanie ułamkowe
system sprzężony
ułamkowe równanie różniczkowe
punkt stały
metoda dekompozycji Adomiana
Opis:
Within this work, we discuss the existence of solutions for a coupled system of linear fractional differential equations involving Caputo-Fabrizio fractional orders. We prove the existence and uniqueness of the solution by using the Picard-Lindel ̈of method and fixed point theory. Also, to compute an approximate solution of problem, we utilize the Adomian decomposition method (ADM), as this method provides the solution in the form of a series such that the infinite series converge to the exact solution. Numerical examples are presented to illustrate the validity and effectiveness of the proposed method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 46--56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the constrained and unconstrained controllability of semilinear Hilfer fractional systems
Autorzy:
Sikora, Beata
Powiązania:
https://bibliotekanauki.pl/articles/27312002.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
Hilfer fractional derivative
fractional systems
semilinear control systems
nonautonomous systems
Rothe's fixed point theorem
generalized Darbo fixed point theorem
Opis:
In the paper finite-dimensional semilinear dynamical control systems described by fractional-order state equations with the Hilfer fractional derivative are discussed. The formula for a solution of the considered systems is presented and derived using the Laplace transform. Bounded nonlinear function f depending on a state and controls is used. New sufficient conditions for controllability without constraints are formulated and proved using Rothe’s fixed point theorem and the generalized Darbo fixed point theorem. Moreover, the stability property is used to formulate constrained controllability criteria. An illustrative example is presented to give the reader an idea of the theoretical results obtained. A transient process in an electrical circuit described by a system of Hilfer type fractional differential equations is proposed as a possible application of the study.
Źródło:
Archives of Control Sciences; 2023, 33, 1; 155--178
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the existence of optimal solutions to the Lagrange problem governed by a nonlinear Goursat-Darboux problem of fractional order
Autorzy:
Majewski, Marek
Powiązania:
https://bibliotekanauki.pl/articles/29519373.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
fractional partial derivative
fractional boundary problem
existence of optimal solutions
Lagrange problem
lower closure theorem
Opis:
In the paper, the Lagrange problem given by a fractional boundary problem with partial derivatives is considered. The main result is the existence of optimal solutions based on the convexity assumption of a certain set. The proof is based on the lower closure theorem and the appropriate implicit measurable function theorem.
Źródło:
Opuscula Mathematica; 2023, 43, 4; 547-558
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Practical Mittag-Leffler stability of quasi-one-sided Lipschitz fractional order systems
Autorzy:
Basdouri, Imed
Kasmi, Souad
Lerbet, Jean
Powiązania:
https://bibliotekanauki.pl/articles/27312007.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
fractional-order systems
Caputo derivative
quasi-one-sided Lipschitz condition
nonlinear systems
observer design
output feedback stabilization
separation principle
Opis:
This paper focuses on the global practical Mittag-Leffler feedback stabilization problem for a class of uncertain fractional-order systems. This class of systems is a larger class of nonlinearities than the Lipschitz ones. Based on the quasi-one-sided Lipschitz condition, firstly, we provide sufficient conditions for the practical observer design. Then, we exhibit that practical Mittag-Leffler stability of the closed loop system with a linear, state feedback is attained. Finally, a separation principle is established and we prove that the closed loop system is practical Mittag-Leffler stable.
Źródło:
Archives of Control Sciences; 2023, 33, 1; 55--70
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Results on the controllability of Caputo’s fractional descriptor systems with constant delays
Autorzy:
Beata, Sikora
Powiązania:
https://bibliotekanauki.pl/articles/27311455.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
descriptor systems
fractional-order systems
Caputo derivative
Drazin inverse
controllability
pochodna Caputo
odwrotność Drazina
sterowalność
system deskryptorowy
system ułamkowego rzędu
Opis:
The paper investigates the controllability of fractional descriptor linear systems with constant delays in control. The Caputo fractional derivative is considered. Using the Drazin inverse and the Laplace transform, a formula for solving of the matrix state equation is obtained. New criteria of relative controllability for Caputo’s fractional descriptor systems are formulated and proved. Both constrained and unconstrained controls are considered. To emphasize the importance of the theoretical studies, an application to electrical circuits is presented as a practical example.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2023, 71, 4; art. no. e146287
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some closed form series solutions for the time-fractional diffusion-wave equation in polar coordinates with a generalized Caputo fractional derivative
Autorzy:
Elkott, Ibrahim
Abdel-Latif, Mohamed S.
El-Kalla, Ibrahim L.
Abdel Kader, Abass H.
Powiązania:
https://bibliotekanauki.pl/articles/24201502.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
generalized time-fractional Caputo derivative
generalized Laplace transform
Hankel transform
diffusion-wave equation
uogólniona ułamkowa pochodna Caputo w czasie
uogólniona transformata Laplace'a
transformata Hankela
równanie fali dyfuzyjnej
Opis:
In this paper, we obtain some closed form series solutions for the time fractional diffusion-wave equation (TFDWE) with the generalized time-fractional Caputo derivative (GTFCD) associated with a source term in polar coordinates. These solutions are found using generalized Laplace and Hankel transforms. We obtained the closed form series solutions in the form of the Polygamma function. The effect of the fractional order derivative on the diffusion-wave variable is illustrated graphically.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 5--14
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of multivariable linear time-invariant systems by proportional-plus-derivative state feedback
Autorzy:
Kiritsis, Konstadinos H.
Powiązania:
https://bibliotekanauki.pl/articles/31342764.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stabilization
proportional-plus-derivative state feedback
linear time-invariant systems
Opis:
This paper is devoted to the study of the problem of stabilization by proportional-plus-derivative state feedback for multivariable linear time-invariant systems. In particular, explicit necessary and sufficient conditions are established for the stability of a closed-loop system obtained by proportional-plus-derivative state feedback from the given multivariable linear time-invariant system. A procedure is given for the computation of stabilizing proportional- plus-derivative state feedback. Our approach is based on properties of real and polynomial matrices.
Źródło:
Control and Cybernetics; 2023, 52, 1; 53-77
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Tendency to Syntagmatic Expansion of the Generating Base in Bilingual Children
Тенденция к синтагматическому расширению производящей базы у двуязычных детей
Autorzy:
Sobor, Aida Burzu
Powiązania:
https://bibliotekanauki.pl/articles/28849579.pdf
Data publikacji:
2023-09-30
Wydawca:
Wydawnictwo Adam Marszałek
Tematy:
illiterate use of word forms
simultaneous words
both complex and derivative
Azerbaijani migrant families
inflection
synonymous usual word
opener
gatira hanger (guitar hook)
printer (stapler)
tow truck (car towing)
rejecting (bookshelf)
fan (trailer hitch)
meat grinder
неграмотное употребление словоформ
одновременные слова
сложные и производные слова
семьи азербайджанских мигрантов
словоизменение
синонимичное обычное слово
открывалка
вешалка для гитары
принтер
эвакуатор
книжная полка
вентилятор
мясорубка
Opis:
The difference between children’s innovations and the occasionalism of artistic and adult everyday speech lies, first of all, in their “simultaneity”, close connection with the objective situation and the child’s specific activity. While working in German schools, we often observed that children from Azerbaijani migrant families also tend to use regular and ordinary types of word – and form formation instead of irregular and rarer ones. Foreign children’s illiterate use of word forms testifies, first of all, to the meta-communicative and stylistic competence of the younger schoolchild that is being formed on their part. Indeed, the generalisation of grammatical form is not alien to the modern German language. The use of these kinds of words in the speech of foreign children is mainly because, at their young age, they cannot correctly identify individual word-building elements with the help of which one word or another is formed. With all the striving of foreign-speaking children to streamline the language system in some way convenient for them, to make it “correct”, they themselves cannot avoid paradoxes.
Отличие детских новшеств от окказионализма художественной и повседневной речи взрослых заключается, прежде всего, в их „одновременности”, тесной связи с объективной ситуацией и конкретной деятельностью ребенка. Часто, работая в немецких школах, мы наблюдали, что дети из семей азербайджанских мигрантов также склонны использовать регулярные и обыденные типы словообразования вместо неправильных и более редких. Неграмотное употребление словоформ иностранными детьми свидетельствует, прежде всего, о формируемой с их стороны метакоммуникативной и стилистической компетентности младшего школьника. Действительно, обобщение грамматической формы не чуждо современному немецкому языку. Использование такого рода слов в речи иностранных детей в основном связано с тем, что в своем юном возрасте они еще не способны правильно идентифицировать отдельные словообразовательные элементы, с помощью которых образуется то или иное слово. При всем стремлении иноязычных детей упорядочить языковую систему каким-то удобным для них образом, сделать ее „правильной”, они сами не могут избежать парадоксов.
Źródło:
Studia Orientalne; 2023, 3(27); 79-91
2299-1999
Pojawia się w:
Studia Orientalne
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 333

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